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ski trip energy worksheet

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Energy Transformation for Downhill Skiing

Downhill skiing is a classic illustration of the relationship between work and energy. The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position). If starting from rest, the mechanical energy of the skier is entirely in the form of potential energy. As the skier begins the descent down the hill, potential energy is lost and kinetic energy (i.e., energy of motion) is gained. As the skier loses height (and thus loses potential energy), she gains speed (and thus gains kinetic energy). Once the skier reaches the bottom of the hill, her height reaches a value of 0 meters, indicating a total depletion of her potential energy. At this point, her speed and kinetic energy have reached a maximum. This energy state is maintained until the skier meets a section of unpacked snow and skids to a stop under the force of friction. The friction force, sometimes known as a dissipative force, does work upon the skier in order to decrease her total mechanical energy. Thus, as the force of friction acts over an increasing distance, the quantity of work increases and the mechanical energy of the skier is gradually dissipated. Ultimately, the skier runs out of energy and comes to a rest position. Work done by an external force (friction) has served to change the total mechanical energy of the skier.

This intricate relationship between work and mechanical energy is depicted in the animation below.

Along the inclined section of the run, the total mechanical energy of the skier is conserved provided that:

  • there is a negligible amount of dissipative forces (such as air resistance and surface friction), and
  • the skier does not utilize her poles to do work and thus contribute to her total amount of mechanical energy

Provided that these two requirements are met, there would be no external forces doing work upon the skier during the descent down the hill. The force of gravity and the normal forces would be the only active forces. While the normal force is an external force, it does not do work upon the skier since it acts at a right angle to the skier's displacement. In such situations where the angle between force and displacement is 90-degrees, the force does not do work upon the skier. Consequently, the force of gravity is the only force doing work on the skier and therefore the total mechanical energy of the skier is conserved. Potential energy is transformed into kinetic energy; and the potential energy lost equals the kinetic energy which is gained. Overall, the sum of the kinetic and potential energy remains a constant value.

The numerical values and accompanying bar chart in the animation above depicts these principles. During the descent down the hill, the height of the total mechanical energy (TME) bar remains a constant quantity, indicating the conservation of total mechanical energy. Furthermore, as the height of the potential energy (PE) bar decreases, the height of the kinetic energy (KE) bar increases.

Near the end of the run, the skier encounters the force of friction. This force acts in the direction opposite the displacement of the skier. The angle between the force and the displacement is 180 degrees. Using the equation for work (F*d*cosine 180 degrees), the amount of work can be calculated. The value calculated from the above equation is a negative number, indicating that the work done serves to remove energy from the object. This is why friction is sometimes referred to as a dissipative force . The amount of work which is done is equal to the loss of mechanical energy. The bar chart in the animation above depicts a work (W) bar with a negative height . As this bar becomes more negative, the height of the total mechanical energy (TME) bar becomes smaller. By the end of the animation, the work bar has reached a height of -8 units and the total mechanical energy bar has change its height from +8 units to 0 units. Thus, the change in height of the total mechanical energy bar (-8 units) equals the height of the work bar (-8 units).

For more information on physical descriptions of motion, visit The Physics Classroom Tutorial . Detailed information is available there on the following topics:

Potential Energy Kinetic Energy Mechanical Energy Internal vs. External Forces Work Work-Energy Theorem Work-Energy Bar Charts  

Return to List of Animations

ski trip energy worksheet

Heat and Energy

Topic: forms of energy.

Vocab: Kinetic, Potneial, Energy Transformation, Law of Conservation of Energy

Day 1: Potential vs. Kinetic Energy Create Foldable about Potential and Kinetic with the Roller Coaster Foldable

Day 2/3: Potential vs. Kinetic Energy Bounce Lab with Reading. Read first discuss and then begin lab

Finish Lab, graph, analyze and work on answering questions

Day 4 : What are forms of energy? Use PPT: Types of Energy and Fill in Graphic Organizer, complete the Ski Trip Worksheet about Energy Types.

Day 5: What are forms of energy? BrainPop Energy and Read text about types of energy. Then have students match up the definition, picture and word.

Day 1: PowerPoint and Graphic Organizer

ski trip energy worksheet

Day 2/3: Bounce Lab and Reading Passages

Day 4: Types of Energy

Day 5: Worksheet and Ski Trip

ski trip energy worksheet

Topic: Energy Transformations

Vocab: Energy Transformation, Law of Conservation of Energy

Day 6: Energy Transformations Use Energy Transformation PPT with Notes and Examples and read text.

Day 7: Energy Transformations/Law of Conservation of Energy Complete Energy Transformation Slider and Worksheet and view video about Law of Conservation of Energy.

Day 8: Energy Transformation Stations Have students complete 4 of the station

Day 8 Alternative: Catapult Lesson modified from CPalms

Day 6: PowerPoint and Notes

ski trip energy worksheet

Day 7: Transformation Slider and Worksheet

Day 8: Stations

Day 8 Alternative: Catapults

ski trip energy worksheet

Topic: Temperature and Thermal Energy

Vocab: Degree, Temperature, Kinetic Theory of Matter, Thermal Energy, Heat

Day 9: States of Matter and Temperature Use book and Triple Venn Diagram to discuss states, how molecules move and fill in triple Venn diagram. Then show heat movement with water and food coloring. Read in textbook.

Day 10: All About Temperature & Thermal Energy Conduct Temperature and Kinetic Energy Lab

Day 9: Venn Diagram Day 10: Lab

Topic: Heat Transfer

Vocab: Conduction, Conductor, Convection, Insulator, Radiation

Day 11: Heat Transfer Read and Fill out Graphic Organizer and Notes

Day 12: Heat Transfer: Complete Sort , Create Doodle Note on Heat Transfer and then complete Heat Transfer Practice sheet

Day 13/14: Heat Transfer: Popcorn Lab

Day 15: Bill Nye Heat Video and Worksheet

Day 16/17: Stations

Day 11: PowerPoint and Notes

Day 12: Read and Create Foldable and Practice Sheet

Day 13/14: Popcorn Lab

ski trip energy worksheet

Day 15 Bill Nye and Worksheet

Day 16/17 Stations

Day 18: Study Guide and ABC Vocab Page

Day 19: Review Game

Day 20: Test

Day 18: Review

Day 19: Jeopardy

Extra Resources

Priceless Ponderings

Teaching Resources

Forms of Energy Activities for Kids (and free anchor charts)

ski trip energy worksheet

Take It Slow

Teaching students about forms of energy can sometimes feel like an overwhelming task! One trick that I have found that helps, is breaking it up into chunks. Don’t jump in head first, by telling students all of the different forms, then teaching them all at once. You will overwhelm yourself and your students. Take it slow! Another tip- find lessons and resources you enjoy doing. Don’t do elaborate science experiments if that’s not your jam! It doesn’t have to be fancy to be fun! I have included some of my favorite forms of energy activities for kids to help make your planning easier.

Make a plan

Forms of energy activities grading rubric

First things first. Make a plan! Decide what forms of energy your students need to know. Since I teach the TEKS, my students need to know about sound , light , and heat . (this is second grade). I like to first start out by teaching what energy is, then each week I focus on a new form of energy. Spending a week on each energy is more than enough and it helps easily break up each form into a doable schedule. 

What is Energy?

Forms of energy activities vocabulary and picture cards

Energy is what we need to get work done! Energy is coffee… no not really, but kind of- right. Sadly we aren’t teaching that kind of energy, but I would like to know how I can get more of that! I tell my students that energy is how we do things and that it is something we need in order to work. Here is a list of resources you can check out to help you teach the first concept.

Forms of Energy Activities and Resources:

Here is a list of forms of energy activities and resources that I use in my class. A lot of the resources from this post are from my Forms of Energy worksheet Pack .

FREE Forms of energy anchor charts

Forms of energy activities free anchor charts

Grab some free anchor chart templates to help you teach your class about sound, light, and heat energy!

Forms of Energy Websites

  • Kids Korner is a simple website that explores the different forms and explains what energy is for kids. The website also has lots of ideas about forms of energy activities and resources to use.
  • Brainpop Jr. is my favorite resource if you have access. My kids love watching the video and then completing the quizzes.
  •   E School Today is another great science website that breaks down the different forms of energy for kids.
  • Dr. Binocs video on energy is great he has a view that go over each topic. This is a good one to start with.

Books to Teach About Forms of Energy

Oh, my love for amazon runs so deep! Books are such a great way to incorporate language arts into science. Here is a list of some of my favorites!

  • The Shocking Truth About Energy is a great book with fun illustrations that show how energy can travel from different places and take on different forms. The Author is Loreen Leedy. She has some other great books too!
  • Energy Makes Things Happen by Kimberly Bradley.  This is an old one, but I finally decided to take it out of my library and read it. I am pretty sure that this was a hand me down given to me by a retired teacher, but it is worth the read and is a relatively inexpensive and easy to find book!
  • Light is All Around Us by Wendy Pfeffer is a good book that talks about the different forms of light. (I read this book then make an anchor chart to go with it!)
  • Sound is All Around Us is by Wendy Pfeffer too. It goes great with the light book because the illustrations and style is the same. Once I have read both I leave these books in our science center for my students to read.
  • The Energy that Warms Us is my go-to book to kick off our unit in heat. I have found that there are not as many books about heat as there are light and sound. This book is by Jennifer Boothroyd.

Forms of Energy Anchor Charts Ideas

Here are a few anchor charts I made to go along with teaching this topic. I created these one at a time, and once I introduced the new form of energy I had students share their ideas on sticky notes.

heat energy anchor chart for kids

Using sticky notes helps me recycle the charts so that I can use them next year! I put them on binder rings and hang them up on my anchor chart wall.

Science Experiments

To help give students a hands-on approach to learning these concepts, I use hands-on activities and experiments to get them excited about learning.

Sometimes it’s hard to squeeze it all in. So, I will put the extra worksheets from my forms of energy unit into my science center or give the activities as a homework assignment.

For More Science Activities, Visit These Posts!

FUN PLANT LIFE CYCLE ACTIVITIES (AND HOW TO TEACH THEM)

TIPS FOR TEACHING LIVING VS. NONLIVING THINGS

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Help your elementary students explore, learn, and write about forms of energy. Check out these engaging heat energy anchor chart templates.

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We were too busy having fun so we didn’t get that many photos! Jack is always down to crack a joke or make you laugh. Happy 5th birthday buddy! 💕 We love you and thank God for you everyday! 🥰

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Physics LibreTexts

7: Work, Energy, and Energy Resources (Exercises)

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Conceptual Questions

7.1: work: the scientific definition.

1. Give an example of something we think of as work in everyday circumstances that is not work in the scientific sense. Is energy transferred or changed in form in your example? If so, explain how this is accomplished without doing work.

2. Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.

3. Describe a situation in which a force is exerted for a long time but does no work. Explain.

7.2: Kinetic Energy and the Work-Energy Theorem

4. The person in Figure does work on the lawn mower. Under what conditions would the mower gain energy? Under what conditions would it lose energy?

A person pushing a lawn mower with a force F. Force is represented by a vector making an angle theta below the horizontal and distance moved by the mover is represented by vector d. The component of vector F along vector d is F cosine theta. Work done by the person, W, is equal to F d cosine theta.

5. Work done on a system puts energy into it. Work done by a system removes energy from it. Give an example for each statement.

6. When solving for speed in Example, we kept only the positive root. Why?

7.3: Gravitational Potential Energy

7. In Example, we calculated the final speed of a roller coaster that descended 20 m in height and had an initial speed of 5 m/s downhill. Suppose the roller coaster had had an initial speed of 5 m/s uphill instead, and it coasted uphill, stopped, and then rolled back down to a final point 20 m below the start. We would find in that case that its final speed is the same as its initial speed. Explain in terms of conservation of energy.

8. Does the work you do on a book when you lift it onto a shelf depend on the path taken? On the time taken? On the height of the shelf? On the mass of the book?

7.4: Conservative Forces and Potential Energy

9. What is a conservative force?

10. The force exerted by a diving board is conservative, provided the internal friction is negligible. Assuming friction is negligible, describe changes in the potential energy of a diving board as a swimmer dives from it, starting just before the swimmer steps on the board until just after his feet leave it.

11. Define mechanical energy. What is the relationship of mechanical energy to nonconservative forces? What happens to mechanical energy if only conservative forces act?

12. What is the relationship of potential energy to conservative force?

7.6: Conservation of Energy

13. Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance. The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills the tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events. (See Figure.)

A car coasting downhill, moving over a crest then again moving downhill and finally stopping at a gas station. Each of these positions is labeled with an arrow pointing downward.

A car experiencing non-negligible friction coasts down a hill, over a small crest, then downhill again, and comes to a stop at a gas station.

14. Describe the energy transfers and transformations for a javelin, starting from the point at which an athlete picks up the javelin and ending when the javelin is stuck into the ground after being thrown.

15. Do devices with efficiencies of less than one violate the law of conservation of energy? Explain.

16. List four different forms or types of energy. Give one example of a conversion from each of these forms to another form.

17. List the energy conversions that occur when riding a bicycle.

18. Most electrical appliances are rated in watts. Does this rating depend on how long the appliance is on? (When off, it is a zero-watt device.) Explain in terms of the definition of power.

19. Explain, in terms of the definition of power, why energy consumption is sometimes listed in kilowatt-hours rather than joules. What is the relationship between these two energy units?

20. A spark of static electricity, such as that you might receive from a doorknob on a cold dry day, may carry a few hundred watts of power. Explain why you are not injured by such a spark.

7.8: Work, Energy, and Power in Humans

21. Explain why it is easier to climb a mountain on a zigzag path rather than one straight up the side. Is your increase in gravitational potential energy the same in both cases? Is your energy consumption the same in both?

22. Do you do work on the outside world when you rub your hands together to warm them? What is the efficiency of this activity?

23. Shivering is an involuntary response to lowered body temperature. What is the efficiency of the body when shivering, and is this a desirable value?

24. Discuss the relative effectiveness of dieting and exercise in losing weight, noting that most athletic activities consume food energy at a rate of 400 to 500 W, while a single cup of yogurt can contain 1360 kJ (325 kcal). Specifically, is it likely that exercise alone will be sufficient to lose weight? You may wish to consider that regular exercise may increase the metabolic rate, whereas protracted dieting may reduce it.

7.9: World Energy Use

25. What is the difference between energy conservation and the law of conservation of energy? Give some examples of each.

26. If the efficiency of a coal-fired electrical generating plant is 35%, then what do we mean when we say that energy is a conserved quantity?

Problems & Exercises

27. How much work does a supermarket checkout attendant do on a can of soup he pushes 0.600 m horizontally with a force of 5.00 N? Express your answer in joules and kilocalories.

Solution \(\displaystyle 3.00 J=7.17×10^{−4} kcal\)

28. A 75.0-kg person climbs stairs, gaining 2.50 meters in height. Find the work done to accomplish this task.

29. (a) Calculate the work done on a 1500-kg elevator car by its cable to lift it 40.0 m at constant speed, assuming friction averages 100 N.

(b) What is the work done on the lift by the gravitational force in this process?

(c) What is the total work done on the lift?

Solution (a) \(\displaystyle 5.92×10^5J\) (b) \(\displaystyle −5.88×10^5J\) (c) The net force is zero.

30. Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 2.0 gal of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (See [link] for the energy content of gasoline.)

(a) What is the magnitude of the force exerted to keep the car moving at constant speed?

(b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s?

31. Calculate the work done by an 85.0-kg man who pushes a crate 4.00 m up along a ramp that makes an angle of \(\displaystyle 20.0º\) with the horizontal. (See Figure.) He exerts a force of 500 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.

A person is pushing a heavy crate up a ramp. The force vector F applied by the person is acting parallel to the ramp.

A man pushes a crate up a ramp.

Solution \(\displaystyle 3.14×10^3J\)

32. How much work is done by the boy pulling his sister 30.0 m in a wagon as shown in Figure? Assume no friction acts on the wagon.

A child is sitting inside a wagon and being pulled by a boy with a force F at an angle thirty degrees upward from the horizontal. F is equal to fifty newtons, the displacement vector d is horizontal in the direction of motion. The magnitude of d is thirty meters.

33. A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N frictional force. He pushes in a direction \(\displaystyle 25.0º\) below the horizontal.

(a) What is the work done on the cart by friction?

(b) What is the work done on the cart by the gravitational force?

(c) What is the work done on the cart by the shopper?

(d) Find the force the shopper exerts, using energy considerations.

(e) What is the total work done on the cart?

Solution (a) \(\displaystyle −700J\) (b) 0 (c) 700 J (d) 38.6 N (e) 0

34. Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a \(\displaystyle 60.0º\) slope at constant speed, as shown in Figure. The coefficient of friction between the sled and the snow is 0.100.

(a) How much work is done by friction as the sled moves 30.0 m along the hill?

(b) How much work is done by the rope on the sled in this distance?

(c) What is the work done by the gravitational force on the sled?

(d) What is the total work done?

A person on a rescue sled is shown being pulled up a slope. The slope makes an angle of sixty degrees from the horizontal. The weight of the person is shown by vector w acting vertically downward. The tension in the rope depicted by vector T is along the incline in the upward direction; vector f depicting frictional force is also acting in the same direction.

35. Compare the kinetic energy of a 20,000-kg truck moving at 110 km/h with that of an 80.0-kg astronaut in orbit moving at 27,500 km/h.

Solution \(\displaystyle 1/250\)

36. (a) How fast must a 3000-kg elephant move to have the same kinetic energy as a 65.0-kg sprinter running at 10.0 m/s?

(b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates.

37. Confirm the value given for the kinetic energy of an aircraft carrier in [link]. You will need to look up the definition of a nautical mile (1 knot = 1 nautical mile/h).

Solution \(\displaystyle 1.1×10^{10}J\)

38. (a) Calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).

(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a).

39. A car’s bumper is designed to withstand a 4.0-km/h (1.1-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 900-kg car to rest from an initial speed of 1.1 m/s.

Solution \(\displaystyle 2.8×10^3N\)

40. Boxing gloves are padded to lessen the force of a blow.

(a) Calculate the force exerted by a boxing glove on an opponent’s face, if the glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s.

(b) Calculate the force exerted by an identical blow in the gory old days when no gloves were used and the knuckles and face would compress only 2.00 cm.

(c) Discuss the magnitude of the force with glove on. Does it seem high enough to cause damage even though it is lower than the force with no glove?

41. Using energy considerations, calculate the average force a 60.0-kg sprinter exerts backward on the track to accelerate from 2.00 to 8.00 m/s in a distance of 25.0 m, if he encounters a headwind that exerts an average force of 30.0 N against him.

Solution 102 N

42. A hydroelectric power facility (see Figure) converts the gravitational potential energy of water behind a dam to electric energy.

(a) What is the gravitational potential energy relative to the generators of a lake of volume \(\displaystyle 50.0 km^3 (mass=5.00×10^{13}kg)\), given that the lake has an average height of 40.0 m above the generators?

(b) Compare this with the energy stored in a 9-megaton fusion bomb.

A dam with water flowing down its gates.

Solution (a) \(\displaystyle 1.96×10^{16}J\) (b) The ratio of gravitational potential energy in the lake to the energy stored in the bomb is 0.52. That is, the energy stored in the lake is approximately half that in a 9-megaton fusion bomb.

43. (a) How much gravitational potential energy (relative to the ground on which it is built) is stored in the Great Pyramid of Cheops, given that its mass is about \(\displaystyle 7 × 10^9 kg\) and its center of mass is 36.5 m above the surrounding ground?

(b) How does this energy compare with the daily food intake of a person?

44. Suppose a 350-g kookaburra (a large kingfisher bird) picks up a 75-g snake and raises it 2.5 m from the ground to a branch.

(a) How much work did the bird do on the snake?

(b) How much work did it do to raise its own center of mass to the branch?

Solution (a) 1.8 J (b) 8.6 J

45. In Example, we found that the speed of a roller coaster that had descended 20.0 m was only slightly greater when it had an initial speed of 5.00 m/s than when it started from rest. This implies that \(\displaystyle ΔPE >> KE_i\). Confirm this statement by taking the ratio of \(\displaystyle ΔPE\) to \(\displaystyle KE_i\). (Note that mass cancels.)

46. A 100-g toy car is propelled by a compressed spring that starts it moving. The car follows the curved track in Figure. Show that the final speed of the toy car is 0.687 m/s if its initial speed is 2.00 m/s and it coasts up the frictionless slope, gaining 0.180 m in altitude.

A toy car is moving up a curved track.

Solution \(\displaystyle v_f=\sqrt{2gh+v_0^2}=\sqrt{2(9.80 m/s^2)(−0.180 m)+(2.00 m/s)^2}=0.687 m/s\)

47. In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills.) To demonstrate this, find the final speed and the time taken for a skier who skies 70.0 m along a \(\displaystyle 30º\) slope neglecting friction:

(a) Starting from rest.

(b) Starting with an initial speed of 2.50 m/s.

(c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events.

48. A \(\displaystyle 5.00×10^5-kg\) subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant \(\displaystyle k\) of the spring?

Solution \(\displaystyle 7.81×10^5N/m\)

49. A pogo stick has a spring with a force constant of \(\displaystyle 2.50×10^4N/m\), which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.

7.5: Nonconservative Forces

50. A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m-high rise as shown in Figure. Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.)

A skier is about to go up an inclined slope with some initial speed v sub i shown by an arrow towards right. The slope makes a thirty-five-degree with the horizontal. The height of the point where the slope ends from the skiers’ starting position is two point five meters. Final speed of the skier at the end of the inclined slope is unknown.

Solution 9.46 m/s

51. (a) How high a hill can a car coast up (engine disengaged) if work done by friction is negligible and its initial speed is 110 km/h?

(b) If, in actuality, a 750-kg car with an initial speed of 110 km/h is observed to coast up a hill to a height 22.0 m above its starting point, how much thermal energy was generated by friction?

(c) What is the average force of friction if the hill has a slope \(\displaystyle 2.5º\) above the horizontal?

52. Using values from Table, how many DNA molecules could be broken by the energy carried by a single electron in the beam of an old-fashioned TV tube? (These electrons were not dangerous in themselves, but they did create dangerous x rays. Later model tube TVs had shielding that absorbed x rays before they escaped and exposed viewers.)

Solution \(\displaystyle 4×10^4\) molecules

53. Using energy considerations and assuming negligible air resistance, show that a rock thrown from a bridge 20.0 m above water with an initial speed of 15.0 m/s strikes the water with a speed of 24.8 m/s independent of the direction thrown.

Solution Equating \(\displaystyle ΔPE_g\) and \(\displaystyle ΔKE\), we obtain \(\displaystyle v=\sqrt{2gh+v_0^2}=\sqrt{2(9.80 m/s^2)(20.0 m)+(15.0 m/s)^2}=24.8 m/s\)

54. If the energy in fusion bombs were used to supply the energy needs of the world, how many of the 9-megaton variety would be needed for a year’s supply of energy (using data from Table)? This is not as far-fetched as it may sound—there are thousands of nuclear bombs, and their energy can be trapped in underground explosions and converted to electricity, as natural geothermal energy is.

55. (a) Use of hydrogen fusion to supply energy is a dream that may be realized in the next century. Fusion would be a relatively clean and almost limitless supply of energy, as can be seen from Table. To illustrate this, calculate how many years the present energy needs of the world could be supplied by one millionth of the oceans’ hydrogen fusion energy.

(b) How does this time compare with historically significant events, such as the duration of stable economic systems?

Solution (a) \(\displaystyle 25×10^6years\) (b) This is much, much longer than human time scales.

56. The Crab Nebula (see Figure) pulsar is the remnant of a supernova that occurred in A.D. 1054. Using data from Table, calculate the approximate factor by which the power output of this astronomical object has declined since its explosion.

A supernova explosion.

Solution \(\displaystyle 2×10^{−10}\)

57. Suppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly goes supernova. Using data from Table:

(a) By what factor does its power output increase?

(b) How many times brighter than our entire Milky Way galaxy is the supernova?

(c) Based on your answers, discuss whether it should be possible to observe supernovas in distant galaxies. Note that there are on the order of \(\displaystyle 10^{11}\) observable galaxies, the average brightness of which is somewhat less than our own galaxy.

58. A person in good physical condition can put out 100 W of useful power for several hours at a stretch, perhaps by pedaling a mechanism that drives an electric generator. Neglecting any problems of generator efficiency and practical considerations such as resting time:

(a) How many people would it take to run a 4.00-kW electric clothes dryer?

(b) How many people would it take to replace a large electric power plant that generates 800 MW?

Solution (a) 40 (b) 8 million

59. What is the cost of operating a 3.00-W electric clock for a year if the cost of electricity is $0.0900 per \(\displaystyle kW⋅h\)?

60. A large household air conditioner may consume 15.0 kW of power. What is the cost of operating this air conditioner 3.00 h per day for 30.0 d if the cost of electricity is $0.110 per \(\displaystyle kW⋅h\)?

Solution $149

61. (a) What is the average power consumption in watts of an appliance that uses \(\displaystyle 5.00 kW⋅h\) of energy per day?

(b) How many joules of energy does this appliance consume in a year?

62. (a) What is the average useful power output of a person who does \(\displaystyle 6.00×10^6J\) of useful work in 8.00 h?

(b) Working at this rate, how long will it take this person to lift 2000 kg of bricks 1.50 m to a platform? (Work done to lift his body can be omitted because it is not considered useful output here.)

Solution (a) 208 W (b) 141 s

63. A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30 s?

64. (a) How long will it take an 850-kg car with a useful power output of 40.0 hp (1 hp = 746 W) to reach a speed of 15.0 m/s, neglecting friction? (b) How long will this acceleration take if the car also climbs a 3.00-m-high hill in the process?

Solution (a) 3.20 s (b) 4.04 s

65. (a) Find the useful power output of an elevator motor that lifts a 2500-kg load a height of 35.0 m in 12.0 s, if it also increases the speed from rest to 4.00 m/s. Note that the total mass of the counterbalanced system is 10,000 kg—so that only 2500 kg is raised in height, but the full 10,000 kg is accelerated.

(b) What does it cost, if electricity is $0.0900 per \(\displaystyle kW⋅h\)?

66. (a) What is the available energy content, in joules, of a battery that operates a 2.00-W electric clock for 18 months?

(b) How long can a battery that can supply \(\displaystyle 8.00×10^4J\) run a pocket calculator that consumes energy at the rate of \(\displaystyle 1.00×10^{−3}W\)?

Solution (a) \(\displaystyle 9.46×10^7J\) (b) \(\displaystyle 2.54 y\)

67. (a) How long would it take a \(\displaystyle 1.50×10^5\)-kg airplane with engines that produce 100 MW of power to reach a speed of 250 m/s and an altitude of 12.0 km if air resistance were negligible?

(b) If it actually takes 900 s, what is the power?

(c) Given this power, what is the average force of air resistance if the airplane takes 1200 s? (Hint: You must find the distance the plane travels in 1200 s assuming constant acceleration.)

68. Calculate the power output needed for a 950-kg car to climb a \(\displaystyle 2.00º\) slope at a constant 30.0 m/s while encountering wind resistance and friction totaling 600 N. Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.

Solution Identify knowns: \(\displaystyle m=950 kg\), slope angle \(\displaystyle θ=2.00º, v=3.00 m/s, f=600 N\) Identify unknowns: power \(\displaystyle P\) of the car, force \(\displaystyle F\) that car applies to road Solve for unknown: \(\displaystyle P=\frac{W}{t}=\frac{Fd}{t}=F(\frac{d}{t})=Fv,\) where \(\displaystyle F\) is parallel to the incline and must oppose the resistive forces and the force of gravity: \(\displaystyle F=f+w=600 N+mgsinθ\) Insert this into the expression for power and solve: \(\displaystyle P=(f+mgsinθ)v\) \(\displaystyle =[600 N+(950 kg)(9.80 m/s^2)sin 2º](30.0 m/s)\) \(\displaystyle =2.77×10^4W\) About 28 kW (or about 37 hp) is reasonable for a car to climb a gentle incline.

69. (a) Calculate the power per square meter reaching Earth’s upper atmosphere from the Sun. (Take the power output of the Sun to be \(\displaystyle 4.00×10^{26}W\).)

(b) Part of this is absorbed and reflected by the atmosphere, so that a maximum of \(\displaystyle 1.30 kW/m^2\) reaches Earth’s surface. Calculate the area in \(\displaystyle km^2\) of solar energy collectors needed to replace an electric power plant that generates 750 MW if the collectors convert an average of 2.00% of the maximum power into electricity. (This small conversion efficiency is due to the devices themselves, and the fact that the sun is directly overhead only briefly.) With the same assumptions, what area would be needed to meet the United States’ energy needs \(\displaystyle (1.05×10^{20}J)\)? Australia’s energy needs \(\displaystyle (5.4×10^{18}J)\)? China’s energy needs \(\displaystyle (6.3×10^{19}J)\)? (These energy consumption values are from 2006.)

70. (a) How long can you rapidly climb stairs (116/min) on the 93.0 kcal of energy in a 10.0-g pat of butter?

(b) How many flights is this if each flight has 16 stairs?

Solution (a) 9.5 min (b) 69 flights of stairs

71. (a) What is the power output in watts and horsepower of a 70.0-kg sprinter who accelerates from rest to 10.0 m/s in 3.00 s?

(b) Considering the amount of power generated, do you think a well-trained athlete could do this repetitively for long periods of time?

72. Calculate the power output in watts and horsepower of a shot-putter who takes 1.20 s to accelerate the 7.27-kg shot from rest to 14.0 m/s, while raising it 0.800 m. (Do not include the power produced to accelerate his body.)

A close view of a shot-putter throwing the shot.

Solution 641 W, 0.860 hp

73. (a) What is the efficiency of an out-of-condition professor who does \(\displaystyle 2.10×10^5 J\) of useful work while metabolizing 500 kcal of food energy?

(b) How many food calories would a well-conditioned athlete metabolize in doing the same work with an efficiency of 20%?

74. Energy that is not utilized for work or heat transfer is converted to the chemical energy of body fat containing about 39 kJ/g. How many grams of fat will you gain if you eat 10,000 kJ (about 2500 kcal) one day and do nothing but sit relaxed for 16.0 h and sleep for the other 8.00 h? Use data from Table for the energy consumption rates of these activities.

Solution 31 g

75. Using data from Table, calculate the daily energy needs of a person who sleeps for 7.00 h, walks for 2.00 h, attends classes for 4.00 h, cycles for 2.00 h, sits relaxed for 3.00 h, and studies for 6.00 h. (Studying consumes energy at the same rate as sitting in class.)

76. What is the efficiency of a subject on a treadmill who puts out work at the rate of 100 W while consuming oxygen at the rate of 2.00 L/min? (Hint: See Table.)

Solution 14.3%

77. Shoveling snow can be extremely taxing because the arms have such a low efficiency in this activity. Suppose a person shoveling a footpath metabolizes food at the rate of 800 W.

(a) What is her useful power output?

(b) How long will it take her to lift 3000 kg of snow 1.20 m? (This could be the amount of heavy snow on 20 m of footpath.)

(c) How much waste heat transfer in kilojoules will she generate in the process?

78. Very large forces are produced in joints when a person jumps from some height to the ground.

(a) Calculate the magnitude of the force produced if an 80.0-kg person jumps from a 0.600–m-high ledge and lands stiffly, compressing joint material 1.50 cm as a result. (Be certain to include the weight of the person.)

(b) In practice the knees bend almost involuntarily to help extend the distance over which you stop. Calculate the magnitude of the force produced if the stopping distance is 0.300 m.

(c) Compare both forces with the weight of the person.

Solution (a) \(\displaystyle 3.21×10^4 N\) (b) \(\displaystyle 2.35×10^3 N\) (c) Ratio of net force to weight of person is 41.0 in part (a); 3.00 in part (b)

79. Jogging on hard surfaces with insufficiently padded shoes produces large forces in the feet and legs.

(a) Calculate the magnitude of the force needed to stop the downward motion of a jogger’s leg, if his leg has a mass of 13.0 kg, a speed of 6.00 m/s, and stops in a distance of 1.50 cm. (Be certain to include the weight of the 75.0-kg jogger’s body.)

(b) Compare this force with the weight of the jogger.

80. (a) Calculate the energy in kJ used by a 55.0-kg woman who does 50 deep knee bends in which her center of mass is lowered and raised 0.400 m. (She does work in both directions.) You may assume her efficiency is 20%.

(b) What is the average power consumption rate in watts if she does this in 3.00 min?

Solution (a) 108 kJ (b) 599 W

81. Kanellos Kanellopoulos flew 119 km from Crete to Santorini, Greece, on April 23, 1988, in the Daedalus 88, an aircraft powered by a bicycle-type drive mechanism (see Figure). His useful power output for the 234-min trip was about 350 W. Using the efficiency for cycling from [link], calculate the food energy in kilojoules he metabolized during the flight.

An aircraft flying in the air shown from outside, which is powered by a bicycle-type drive mechanism.

82. The swimmer shown in Figure exerts an average horizontal backward force of 80.0 N with his arm during each 1.80 m long stroke.

(a) What is his work output in each stroke?

(b) Calculate the power output of his arms if he does 120 strokes per minute.

A person swimming and his arm motion in each stroke is represented. The arm action is shown by an arc starting from where his hand enters the surface of the water and ending at the point where his hand emerges from the water. The diameter of this arc made by the person’s hand tip in one stroke is one point eight meters.

Solution (a) 144 J (b) 288 W

83. Mountain climbers carry bottled oxygen when at very high altitudes.

(a) Assuming that a mountain climber uses oxygen at twice the rate for climbing 116 stairs per minute (because of low air temperature and winds), calculate how many liters of oxygen a climber would need for 10.0 h of climbing. (These are liters at sea level.) Note that only 40% of the inhaled oxygen is utilized; the rest is exhaled.

(b) How much useful work does the climber do if he and his equipment have a mass of 90.0 kg and he gains 1000 m of altitude?

(c) What is his efficiency for the 10.0-h climb?

84. The awe-inspiring Great Pyramid of Cheops was built more than 4500 years ago. Its square base, originally 230 m on a side, covered 13.1 acres, and it was 146 m high, with a mass of about \(\displaystyle 7×10^9kg\). (The pyramid’s dimensions are slightly different today due to quarrying and some sagging.) Historians estimate that 20,000 workers spent 20 years to construct it, working 12-hour days, 330 days per year.

(a) Calculate the gravitational potential energy stored in the pyramid, given its center of mass is at one-fourth its height.

(b) Only a fraction of the workers lifted blocks; most were involved in support services such as building ramps (see Figure), bringing food and water, and hauling blocks to the site. Calculate the efficiency of the workers who did the lifting, assuming there were 1000 of them and they consumed food energy at the rate of 300 kcal/h. What does your answer imply about how much of their work went into block-lifting, versus how much work went into friction and lifting and lowering their own bodies?

(c) Calculate the mass of food that had to be supplied each day, assuming that the average worker required 3600 kcal per day and that their diet was 5% protein, 60% carbohydrate, and 35% fat. (These proportions neglect the mass of bulk and nondigestible materials consumed.)

A model of a step pyramid is shown with ramps along the sides of each step.

Solution (a) \(\displaystyle 2.50×10^{12} J\) (b) 2.52% (c) \(\displaystyle 1.4×10^4 kg\) (14 metric tons)

85. (a) How long can you play tennis on the 800 kJ (about 200 kcal) of energy in a candy bar?

(b) Does this seem like a long time? Discuss why exercise is necessary but may not be sufficient to cause a person to lose weight.

86. Integrated Concepts

(a) Calculate the force the woman in Figure exerts to do a push-up at constant speed, taking all data to be known to three digits.

(b) How much work does she do if her center of mass rises 0.240 m?

(c) What is her useful power output if she does 25 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.

A woman is doing push-ups. Her weight w is acting on her center of gravity , shown by a vector pointing downwards. Her center of gravity  is zero point nine zero meters from her feet and reaction force F acting on her arms is shown by the vector pointing upward along her arms. The distance of reaction force from the feet is one point five zero meters.

Solution (a) 294 N (b) 118 J (c) 49.0 W

87. Integrated Concepts

A 75.0-kg cross-country skier is climbing a \(\displaystyle 3.0º\) slope at a constant speed of 2.00 m/s and encounters air resistance of 25.0 N. Find his power output for work done against the gravitational force and air resistance.

(b) What average force does he exert backward on the snow to accomplish this?

(c) If he continues to exert this force and to experience the same air resistance when he reaches a level area, how long will it take him to reach a velocity of 10.0 m/s?

88. Integrated Concepts

The 70.0-kg swimmer in [link] starts a race with an initial velocity of 1.25 m/s and exerts an average force of 80.0 N backward with his arms during each 1.80 m long stroke.

(a) What is his initial acceleration if water resistance is 45.0 N?

(b) What is the subsequent average resistance force from the water during the 5.00 s it takes him to reach his top velocity of 2.50 m/s?

(c) Discuss whether water resistance seems to increase linearly with velocity.

Solution (a) \(\displaystyle 0.500 m/s^2\) (b) \(\displaystyle 62.5 N\) (c) Assuming the acceleration of the swimmer decreases linearly with time over the 5.00 s interval, the frictional force must therefore be increasing linearly with time, since \(\displaystyle f=F−ma\). If the acceleration decreases linearly with time, the velocity will contain a term dependent on time squared (\(\displaystyle t^2\)). Therefore, the water resistance will not depend linearly on the velocity.

89. Integrated Concepts

A toy gun uses a spring with a force constant of 300 N/m to propel a 10.0-g steel ball. If the spring is compressed 7.00 cm and friction is negligible:

(a) How much force is needed to compress the spring?

(b) To what maximum height can the ball be shot?

(c) At what angles above the horizontal may a child aim to hit a target 3.00 m away at the same height as the gun?

(d) What is the gun’s maximum range on level ground?

90. Integrated Concepts

(a) What force must be supplied by an elevator cable to produce an acceleration of \(\displaystyle 0.800 m/s^2\) against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg?

(b) How much work is done by the cable in lifting the elevator 20.0 m?

(c) What is the final speed of the elevator if it starts from rest?

(d) How much work went into thermal energy?

Solution (a) \(\displaystyle 16.1×10^3N\) (b) \(\displaystyle 3.22×10^5J\) (c) \(\displaystyle 5.66 m/s\) (d) 4.00 kJ

91. Unreasonable Results

A car advertisement claims that its 900-kg car accelerated from rest to 30.0 m/s and drove 100 km, gaining 3.00 km in altitude, on 1.0 gal of gasoline. The average force of friction including air resistance was 700 N. Assume all values are known to three significant figures.

(a) Calculate the car’s efficiency.

(b) What is unreasonable about the result?

(c) Which premise is unreasonable, or which premises are inconsistent?

92. Unreasonable Results

Body fat is metabolized, supplying 9.30 kcal/g, when dietary intake is less than needed to fuel metabolism. The manufacturers of an exercise bicycle claim that you can lose 0.500 kg of fat per day by vigorously exercising for 2.00 h per day on their machine.

(a) How many kcal are supplied by the metabolization of 0.500 kg of fat?

(b) Calculate the kcal/min that you would have to utilize to metabolize fat at the rate of 0.500 kg in 2.00 h.

(c) What is unreasonable about the results?

(d) Which premise is unreasonable, or which premises are inconsistent?

Solution (a) \(\displaystyle 4.65×10^3kcal\) (b) 38.8 kcal/min (c) This power output is higher than the highest value on [link], which is about 35 kcal/min (corresponding to 2415 watts) for sprinting. (d) It would be impossible to maintain this power output for 2 hours (imagine sprinting for 2 hours!).

93. Construct Your Own Problem

Consider a person climbing and descending stairs. Construct a problem in which you calculate the long-term rate at which stairs can be climbed considering the mass of the person, his ability to generate power with his legs, and the height of a single stair step. Also consider why the same person can descend stairs at a faster rate for a nearly unlimited time in spite of the fact that very similar forces are exerted going down as going up. (This points to a fundamentally different process for descending versus climbing stairs.)

94. Construct Your Own Problem

Consider humans generating electricity by pedaling a device similar to a stationary bicycle. Construct a problem in which you determine the number of people it would take to replace a large electrical generation facility. Among the things to consider are the power output that is reasonable using the legs, rest time, and the need for electricity 24 hours per day. Discuss the practical implications of your results.

95. Integrated Concepts

A 105-kg basketball player crouches down 0.400 m while waiting to jump. After exerting a force on the floor through this 0.400 m, his feet leave the floor and his center of gravity rises 0.950 m above its normal standing erect position.

(a) Using energy considerations, calculate his velocity when he leaves the floor.

(b) What average force did he exert on the floor? (Do not neglect the force to support his weight as well as that to accelerate him.)

(c) What was his power output during the acceleration phase?

Solution (a) 4.32 m/s (b) \(\displaystyle 3.47×10^3N\) (c) 8.93 kW

Contributors and Attributions

Paul Peter Urone (Professor Emeritus at California State University, Sacramento) and Roger Hinrichs (State University of New York, College at Oswego) with Contributing Authors: Kim Dirks (University of Auckland) and Manjula Sharma (University of Sydney). This work is licensed by OpenStax University Physics under a  Creative Commons Attribution License (by 4.0) .

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Ski Trip Activity Booklet

Ski Trip Activity Booklet

Subject: Whole school

Age range: 14-16

Resource type: Worksheet/Activity

Xrn's Shop

Last updated

4 April 2024

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ski trip energy worksheet

A booklet to attempt to keep students entertained on the LONG journey!

Booklet Includes:

  • Countdown (letters and numbers)
  • Word search
  • Scavenger Hunt (things to spot on the long journey)
  • Reflection page.

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ski trip energy worksheet

Ski Trip Reading Comprehension Worksheet

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How to teach Reading Comprehension

This Ski Trip Reading Comprehension Worksheet will help your students build their reading comprehension skills while reading about Dana’s ski trip.

Many of your students skiing and winter sports. It has been found that students build better reading skills when they read about topics that relate to them. This reading comprehension passage is high interest for your winter loving students!

First, students read the questions. Then, read the passage. As you read, underline or circle key words or phrases in the passage that are key details. After reading, use the passage to help you find the answers to aligned questions.

Other resources to use with this Ski Trip Reading Comprehension Worksheet

As your students are reading, it’s possible that they may need to use graphic organizers to help them find the main idea.

Check out these Main Idea Graphic Organizers to use as a way for students to organize their ideas as they are reading.

Introduce this worksheet by having students share about a time when they went skiing or sledding. Next, review different reading strategies that students should use as they read (marking the text, reading questions first, etc). Then, have students work independently or with a partner to use the passage to find the answers to aligned questions. After reading, have students share answers to the questions and provide supporting using details from the text.

Be sure to check out more Reading Comprehension Worksheets .

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Ski Trip Reading Comprehension Worksheet

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40 facts about elektrostal.

Lanette Mayes

Written by Lanette Mayes

Modified & Updated: 02 Mar 2024

Jessica Corbett

Reviewed by Jessica Corbett

40-facts-about-elektrostal

Elektrostal is a vibrant city located in the Moscow Oblast region of Russia. With a rich history, stunning architecture, and a thriving community, Elektrostal is a city that has much to offer. Whether you are a history buff, nature enthusiast, or simply curious about different cultures, Elektrostal is sure to captivate you.

This article will provide you with 40 fascinating facts about Elektrostal, giving you a better understanding of why this city is worth exploring. From its origins as an industrial hub to its modern-day charm, we will delve into the various aspects that make Elektrostal a unique and must-visit destination.

So, join us as we uncover the hidden treasures of Elektrostal and discover what makes this city a true gem in the heart of Russia.

Key Takeaways:

  • Elektrostal, known as the “Motor City of Russia,” is a vibrant and growing city with a rich industrial history, offering diverse cultural experiences and a strong commitment to environmental sustainability.
  • With its convenient location near Moscow, Elektrostal provides a picturesque landscape, vibrant nightlife, and a range of recreational activities, making it an ideal destination for residents and visitors alike.

Known as the “Motor City of Russia.”

Elektrostal, a city located in the Moscow Oblast region of Russia, earned the nickname “Motor City” due to its significant involvement in the automotive industry.

Home to the Elektrostal Metallurgical Plant.

Elektrostal is renowned for its metallurgical plant, which has been producing high-quality steel and alloys since its establishment in 1916.

Boasts a rich industrial heritage.

Elektrostal has a long history of industrial development, contributing to the growth and progress of the region.

Founded in 1916.

The city of Elektrostal was founded in 1916 as a result of the construction of the Elektrostal Metallurgical Plant.

Located approximately 50 kilometers east of Moscow.

Elektrostal is situated in close proximity to the Russian capital, making it easily accessible for both residents and visitors.

Known for its vibrant cultural scene.

Elektrostal is home to several cultural institutions, including museums, theaters, and art galleries that showcase the city’s rich artistic heritage.

A popular destination for nature lovers.

Surrounded by picturesque landscapes and forests, Elektrostal offers ample opportunities for outdoor activities such as hiking, camping, and birdwatching.

Hosts the annual Elektrostal City Day celebrations.

Every year, Elektrostal organizes festive events and activities to celebrate its founding, bringing together residents and visitors in a spirit of unity and joy.

Has a population of approximately 160,000 people.

Elektrostal is home to a diverse and vibrant community of around 160,000 residents, contributing to its dynamic atmosphere.

Boasts excellent education facilities.

The city is known for its well-established educational institutions, providing quality education to students of all ages.

A center for scientific research and innovation.

Elektrostal serves as an important hub for scientific research, particularly in the fields of metallurgy, materials science, and engineering.

Surrounded by picturesque lakes.

The city is blessed with numerous beautiful lakes, offering scenic views and recreational opportunities for locals and visitors alike.

Well-connected transportation system.

Elektrostal benefits from an efficient transportation network, including highways, railways, and public transportation options, ensuring convenient travel within and beyond the city.

Famous for its traditional Russian cuisine.

Food enthusiasts can indulge in authentic Russian dishes at numerous restaurants and cafes scattered throughout Elektrostal.

Home to notable architectural landmarks.

Elektrostal boasts impressive architecture, including the Church of the Transfiguration of the Lord and the Elektrostal Palace of Culture.

Offers a wide range of recreational facilities.

Residents and visitors can enjoy various recreational activities, such as sports complexes, swimming pools, and fitness centers, enhancing the overall quality of life.

Provides a high standard of healthcare.

Elektrostal is equipped with modern medical facilities, ensuring residents have access to quality healthcare services.

Home to the Elektrostal History Museum.

The Elektrostal History Museum showcases the city’s fascinating past through exhibitions and displays.

A hub for sports enthusiasts.

Elektrostal is passionate about sports, with numerous stadiums, arenas, and sports clubs offering opportunities for athletes and spectators.

Celebrates diverse cultural festivals.

Throughout the year, Elektrostal hosts a variety of cultural festivals, celebrating different ethnicities, traditions, and art forms.

Electric power played a significant role in its early development.

Elektrostal owes its name and initial growth to the establishment of electric power stations and the utilization of electricity in the industrial sector.

Boasts a thriving economy.

The city’s strong industrial base, coupled with its strategic location near Moscow, has contributed to Elektrostal’s prosperous economic status.

Houses the Elektrostal Drama Theater.

The Elektrostal Drama Theater is a cultural centerpiece, attracting theater enthusiasts from far and wide.

Popular destination for winter sports.

Elektrostal’s proximity to ski resorts and winter sport facilities makes it a favorite destination for skiing, snowboarding, and other winter activities.

Promotes environmental sustainability.

Elektrostal prioritizes environmental protection and sustainability, implementing initiatives to reduce pollution and preserve natural resources.

Home to renowned educational institutions.

Elektrostal is known for its prestigious schools and universities, offering a wide range of academic programs to students.

Committed to cultural preservation.

The city values its cultural heritage and takes active steps to preserve and promote traditional customs, crafts, and arts.

Hosts an annual International Film Festival.

The Elektrostal International Film Festival attracts filmmakers and cinema enthusiasts from around the world, showcasing a diverse range of films.

Encourages entrepreneurship and innovation.

Elektrostal supports aspiring entrepreneurs and fosters a culture of innovation, providing opportunities for startups and business development.

Offers a range of housing options.

Elektrostal provides diverse housing options, including apartments, houses, and residential complexes, catering to different lifestyles and budgets.

Home to notable sports teams.

Elektrostal is proud of its sports legacy, with several successful sports teams competing at regional and national levels.

Boasts a vibrant nightlife scene.

Residents and visitors can enjoy a lively nightlife in Elektrostal, with numerous bars, clubs, and entertainment venues.

Promotes cultural exchange and international relations.

Elektrostal actively engages in international partnerships, cultural exchanges, and diplomatic collaborations to foster global connections.

Surrounded by beautiful nature reserves.

Nearby nature reserves, such as the Barybino Forest and Luchinskoye Lake, offer opportunities for nature enthusiasts to explore and appreciate the region’s biodiversity.

Commemorates historical events.

The city pays tribute to significant historical events through memorials, monuments, and exhibitions, ensuring the preservation of collective memory.

Promotes sports and youth development.

Elektrostal invests in sports infrastructure and programs to encourage youth participation, health, and physical fitness.

Hosts annual cultural and artistic festivals.

Throughout the year, Elektrostal celebrates its cultural diversity through festivals dedicated to music, dance, art, and theater.

Provides a picturesque landscape for photography enthusiasts.

The city’s scenic beauty, architectural landmarks, and natural surroundings make it a paradise for photographers.

Connects to Moscow via a direct train line.

The convenient train connection between Elektrostal and Moscow makes commuting between the two cities effortless.

A city with a bright future.

Elektrostal continues to grow and develop, aiming to become a model city in terms of infrastructure, sustainability, and quality of life for its residents.

In conclusion, Elektrostal is a fascinating city with a rich history and a vibrant present. From its origins as a center of steel production to its modern-day status as a hub for education and industry, Elektrostal has plenty to offer both residents and visitors. With its beautiful parks, cultural attractions, and proximity to Moscow, there is no shortage of things to see and do in this dynamic city. Whether you’re interested in exploring its historical landmarks, enjoying outdoor activities, or immersing yourself in the local culture, Elektrostal has something for everyone. So, next time you find yourself in the Moscow region, don’t miss the opportunity to discover the hidden gems of Elektrostal.

Q: What is the population of Elektrostal?

A: As of the latest data, the population of Elektrostal is approximately XXXX.

Q: How far is Elektrostal from Moscow?

A: Elektrostal is located approximately XX kilometers away from Moscow.

Q: Are there any famous landmarks in Elektrostal?

A: Yes, Elektrostal is home to several notable landmarks, including XXXX and XXXX.

Q: What industries are prominent in Elektrostal?

A: Elektrostal is known for its steel production industry and is also a center for engineering and manufacturing.

Q: Are there any universities or educational institutions in Elektrostal?

A: Yes, Elektrostal is home to XXXX University and several other educational institutions.

Q: What are some popular outdoor activities in Elektrostal?

A: Elektrostal offers several outdoor activities, such as hiking, cycling, and picnicking in its beautiful parks.

Q: Is Elektrostal well-connected in terms of transportation?

A: Yes, Elektrostal has good transportation links, including trains and buses, making it easily accessible from nearby cities.

Q: Are there any annual events or festivals in Elektrostal?

A: Yes, Elektrostal hosts various events and festivals throughout the year, including XXXX and XXXX.

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Our commitment to delivering trustworthy and engaging content is at the heart of what we do. Each fact on our site is contributed by real users like you, bringing a wealth of diverse insights and information. To ensure the highest standards of accuracy and reliability, our dedicated editors meticulously review each submission. This process guarantees that the facts we share are not only fascinating but also credible. Trust in our commitment to quality and authenticity as you explore and learn with us.

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  • Novo-Peredelkino – Moscow
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  • Ski resort lies in multiple regions Novo-Peredelkino – Moscow
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Nearest airport/train station Novo-Peredelkino – Moscow

By plane and/or train to the ski resort novo-peredelkino – moscow.

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Nearest airport Novo-Peredelkino – Moscow

Arrival by plane to the ski resort Novo-Peredelkino – Moscow:

  • Moscow (SVO), Russia »
  • Moscow (DME), Russia »

Train connection Novo-Peredelkino – Moscow

  • No direct train connection
  • Approx. 49 km distance to the ski resort
  • Approx. 0 hours 52 minutes driving time
  • from : Moscow (SVO), Russia
  • to : Skilift Novo-Peredelkino, Staroorlovskaya ulitsa, 119297 Gorod Moskva, Russia
  • Approx. 54 km distance to the ski resort
  • Approx. 1 hours 0 minutes driving time
  • from : Moscow (DME), Russia

ski trip energy worksheet

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Metallurgicheskii Zavod Electrostal AO (Russia)

In 1993 "Elektrostal" was transformed into an open joint stock company. The factory occupies a leading position among the manufacturers of high quality steel. The plant is a producer of high-temperature nickel alloys in a wide variety. It has a unique set of metallurgical equipment: open induction and arc furnaces, furnace steel processing unit, vacuum induction, vacuum- arc furnaces and others. The factory has implemented and certified quality management system ISO 9000, received international certificates for all products. Elektrostal today is a major supplier in Russia starting blanks for the production of blades, discs and rolls for gas turbine engines. Among them are companies in the aerospace industry, defense plants, and energy complex, automotive, mechanical engineering and instrument-making plants.

Headquarters Ulitsa Zheleznodorozhnaya, 1 Elektrostal; Moscow Oblast; Postal Code: 144002

Contact Details: Purchase the Metallurgicheskii Zavod Electrostal AO report to view the information.

Website: http://elsteel.ru

EMIS company profiles are part of a larger information service which combines company, industry and country data and analysis for over 145 emerging markets.

To view more information, Request a demonstration of the EMIS service

IMAGES

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    ski trip energy worksheet

  2. Skiing

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  3. Preschool handwriting worksheet, trace the dotted lines. Vector

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  4. 13 Skiing English ESL worksheets pdf & doc

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  5. Free Printable Ski Vocabulary Worksheet

    ski trip energy worksheet

  6. Exercise about Ski Equipment

    ski trip energy worksheet

VIDEO

  1. Trip Energy (Trip Trailer)

  2. Energy Boost for Ski Season..! 🎿⚡️ #energybytes

  3. Transformation of energy#energy worksheet#physics#science#shorts

COMMENTS

  1. PDF Name: Ski Trip A few years ago, I went skiing down Mount McKinley

    After all, I wanted to enjoy my ski trip, not freeze to death. The lift on Mount McKinley was a type I had never seen before. You stand at the bottom of the hill, and animals like the ones on carousels come and pick you up. I picked to ride on the rhino wearing a cowboy hat up the mountain. I was impressed at how much kinetic energy the lift ...

  2. The Physics Classroom Website

    Energy Transformation for Downhill Skiing. Downhill skiing is a classic illustration of the relationship between work and energy. The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position). If starting from rest, the mechanical energy of the skier is entirely in the form of ...

  3. Science is Sweet

    Use PPT: Types of Energy and Fill in Graphic Organizer, complete the Ski Trip Worksheet about Energy Types. Day 5: What are forms of energy? BrainPop Energy and Read text about types of energy. Then have students match up the definition, picture and word.

  4. Forms of Energy Activities for Kids (and free anchor charts)

    First things first. Make a plan! Decide what forms of energy your students need to know. Since I teach the TEKS, my students need to know about sound, light, and heat. (this is second grade). I like to first start out by teaching what energy is, then each week I focus on a new form of energy. Spending a week on each energy is more than enough ...

  5. PDF Lesson 4, Engineering Sport

    Energy Worksheet . Energy ? Remember: Kenetic Energy: KE = ½ m * v. 2 = ½ * m * v * v (units are kg-m2/s2) Potential Engergy ... An Olympic skier is in the racing stalls waiting for the beginning of the downhill slalom race. He weighs 75kg, and the ski slope is 1,000 m high. a. Does he have potential or kinetic energy before the race? ...

  6. 7: Work, Energy, and Energy Resources (Exercises)

    7.3: Gravitational Potential Energy. 7. In Example, we calculated the final speed of a roller coaster that descended 20 m in height and had an initial speed of 5 m/s downhill. Suppose the roller coaster had had an initial speed of 5 m/s uphill instead, and it coasted uphill, stopped, and then rolled back down to a final point 20 m below the start.

  7. DOC Worksheet

    An Olympic skier is in the racing stalls waiting for the beginning of the downhill slalom race. He weighs 75kg, and the ski slope is 1,000 m high. ... Introduction to Engineering: Lesson 4, Engineering in Sport - Energy Worksheet 1. Energy ? TeachEngineering.org - Free STEM Curriculum for K-12. Remember: Kenetic Energy: KE = ½ m * v2 = ½ ...

  8. Ultimate Ski Trip Packing List & Ski Essentials ...

    Thanks Janiel - and I'm jealous that you live so close to the snow! This is the only ski trip packing list you'll ever need - with equipment, ski gear, resort wear and other ski essentials + a FREE printable PDF checklist. Whether you're skiing in the USA, Europe, Japan or beyond, we've listed what you need for every member of the family.

  9. DOC Worksheet

    He weighs 75kg, and the ski slope is 1,000 m high. Does he have potential or kinetic energy before the race? Potential ... Introduction to Engineering: Lesson 4, Engineering in Sport - Energy Worksheet - Answers 1. Energy ? TeachEngineering.org - Free STEM Curriculum for K-12. Remember: Kenetic Energy: KE = ½ m * v2 = ½ * m * v * v ...

  10. Ski Trip Energy Key

    ski trip energy key - Free download as PDF File (.pdf) or read online for free.

  11. The Ultimate Family Ski Packing List Free Printable

    Hot Chocolate. This is our number one must have for any family ski trip packing list. We ALWAYS take an insulated jug of hot cocoa and some cups to the ski hill with us. It's the perfect way to end out a long ski day, and will save you a small fortune since you can avoid the $7 cups of cocoa at the ski lodge.

  12. PDF Ski Trip Third Grade Reading Comprehension Worksheet

    the mountains to their cabin and ski for three days. The only problem is there hasn't been any snow. When Dana came home from school Friday, mom told her to get packed. They were going on a ski trip. 'How can we ski without snow?" asked Dana. "You'll see," said mom. "Just pack your clothes and don't worry about taking your skis," said mom.

  13. PDF Kinetic and Potential Energy Worksheet Name

    Kinetic and Potential Energy Worksheet Name _____ Classify the following as a type of potential energy or kinetic energy (use the letters K or P) 1. A bicyclist pedaling up a hill _____ 2. ... At the top of the first hill you have the Gravitational Potential Energy As you begin your trip down the hill you your speed resulting in a ...

  14. Ski Trip Activity Booklet

    Ski Trip Activity Booklet. Subject: Whole school. Age range: 14-16. Resource type: Worksheet/Activity. File previews. pdf, 9 MB. A booklet to attempt to keep students entertained on the LONG journey! Booklet Includes: Crossword.

  15. Ski worksheets

    Ski worksheets Live Worksheets Worksheets that listen. Worksheets that speak. Worksheets that motivate students. Worksheets that save paper, ink and time. ... The one with the ski trip Level: intermediate Age: 12-17 Downloads: 20 : Advising a ski resort Level: advanced Age: 16-100 Downloads: 20 : Ski vocabulary Level: advanced Age: 14-17

  16. PDF Energy, Lesson 5, Traveling Sound Activity

    2. Can sound energy pass through liquids? (Circle one) YES NO Describe the difference between the sound when you tap the objects together underwater and above water? 3. Can sound energy pass through gases. (air?) (Circle one) YES NO Feel your throat and write down your observations from the following tests: • Hum with your mouth and nose open:

  17. Ski Trip Reading Comprehension Worksheet

    How to teach Reading Comprehension. This Ski Trip Reading Comprehension Worksheet will help your students build their reading comprehension skills while reading about Dana's ski trip. Many of your students skiing and winter sports. It has been found that students build better reading skills when they read about topics that relate to them.

  18. Talking About A Recent Ski And Snowboard Trip. Role-Play Full Dialogue

    Vocabulary worksheets > Sports > Ski > Talking About A Recent Ski And Snowboard Trip. Role-Play Full Dialogue And Dialogue Boxes Role-Play Full Dialogue And Dialogue Boxes In this file there is a complete dialogue about what 2 people did on their Winter vacation/holidays as well as a dialogue box section.

  19. 40 Facts About Elektrostal

    40 Facts About Elektrostal. Elektrostal is a vibrant city located in the Moscow Oblast region of Russia. With a rich history, stunning architecture, and a thriving community, Elektrostal is a city that has much to offer. Whether you are a history buff, nature enthusiast, or simply curious about different cultures, Elektrostal is sure to ...

  20. Church of the Intercession on the Nerl Review

    View All Trip Ideas The Best Road Trips in America. Log in with user name: Remember Me

  21. PDF Lesson 4, Engineering Sport

    1. An Olympic skier is in the racing stalls waiting for the beginning of the downhill slalom race. He weighs 75kg, and the ski slope is 1,000 m high. a. Does he have potential or kinetic energy before the race? Potential. b. What is his potential energy? PE = m*g*h = 75kg*10 m/s2 *1000m = 750,000kg-m2/s2.

  22. Nearest airport/train station Novo-Peredelkino

    By plane and/or train to the ski resort Novo-Peredelkino - Moscow, Arrival by plane to the ski resort Novo-Peredelkino - Moscow, Train connection Novo-Peredelkino - Moscow

  23. Metallurgicheskii Zavod Electrostal AO (Russia)

    Metallurgicheskii Zavod Electrostal AO (Russia) In 1993 "Elektrostal" was transformed into an open joint stock company. The factory occupies a leading position among the manufacturers of high quality steel. The plant is a producer of high-temperature nickel alloys in a wide variety. It has a unique set of metallurgical equipment: open induction ...