Explanation Given data: The mass of the cable car is 5200 kg. The distance travelled by the cable car is 360 m. The inclination of the hill is 12 ° . Formula used: The expression for gravitational potential energy is: U = m g h Here, U is the gravitational potential energy, m is the mass of the cable car, g is the acceleration due to gravity and h is the vertical distance between flat ground and the point on the hill to which the car travels. The expression for kinetic energy is: K . E . = 1 2 m v 2 Here, m is the mass of the cable car and v is the speed of the cable car. Explanation: Draw a schematic diagram of the motion of the cable car on a hill. Assume that there is no friction. So, the work done to move the cable car on the hill is equal to the increase in the gravitational potential energy. The sum of the kinetic energy and the potential energy at the starting position is the total energy of the system at the starting point. At the starting position, the cable is at rest; so there will be no kinetic energy (the initial velocity of the car is zero), which is also the case on the ground, and so, the potential energy will also be zero (height is zero). So, the total energy of the system at the starting position is zero. The sum of the kinetic energy and the potential energy at the final position is the total energy of the system at the final point. At the final position as well, the cable car is not moving (the final velocity of the car is zero); so, there will be no kinetic energy at the final position. At the final position, only potential energy is there (because it is at a certain height), which is calculated below. Calculate the height of the car at the final position as: h = ( 360 m ) sin12 ° = 74

College Physics: Explore And Apply, Volume 2 (2nd Edition)

2nd Edition

ISBN: 9780134862910

Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic

Publisher: PEARSON

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Chapter 7, Problem 15P

To determine

The change in the total energy of the system while travelling in a cable car from the bottom to the top during a vacation in San Francisco, if the 5200 kg cable car covers a distance of 360 m on a hill inclined 12° above the horizontal. The car and the earth are a system. Also, mention all assumptions.

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Chapter 7, Problem 14P

Chapter 7, Problem 16P

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College Physics: Explore And Apply, Volume 2 (2nd Edition)

Ch. 7 - 2. Which answer best represents the system’s...Ch. 7 - An Atwood machine is shown in Figure Q7.3. As the...Ch. 7 - Prob. 4MCQ Ch. 7 - 5. Three processes are described below. Choose one...Ch. 7 - 6. Choose which statement describes a process in...Ch. 7 - 7. Which example(s) below involve(s) zero physics...Ch. 7 - 8. Estimate the change in gravitational potential...Ch. 7 - What does it mean if object 1 does +10 J of work...Ch. 7 - You pull on a spring, which obeys Hookes law, in...Ch. 7 - The graph in Figure Q7.11 shows the time...Ch. 7 - 12. A 1400-kg car is traveling on a level road at...Ch. 7 - Prob. 13MCQ Ch. 7 - Two clay balls are moving toward each other. The...Ch. 7 - 15. Is energy a physical phenomenon, a model, or a...Ch. 7 - 16. Your friend thinks that the escape speed...Ch. 7 - Suggest how you can measure the following...Ch. 7 - How can satellites stay in orbit without any jet...Ch. 7 - Why does the Moon have no atmosphere, but Earth...Ch. 7 - What will happen to Earth if our Sun becomes a...Ch. 7 - 21. In the equation , the gravitational potential...Ch. 7 - 22. You push a small cart by exerting a constant...Ch. 7 - 1. Jay fills a wagon with sand (about 20 kg) and...Ch. 7 - 2. You have a 15-kg suitcase and (a) slowly lift...Ch. 7 - * You use a rope to slowly pull a sled and its...Ch. 7 - A rope attached to a truck pulls a 180-kg...Ch. 7 - 5. You lift a 25-kg child 0.80 m, slowly carry him...Ch. 7 - A truck runs into a pile of sand, moving 0.80 m as...Ch. 7 - 7. A 0.50-kg block is placed in a straight gutter...Ch. 7 - s up a smooth incline, which makes an angle with...Ch. 7 - 9. ** It is a windy day. You are moving a 20-kg...Ch. 7 - A 5.0-kg rabbit and a 12-kg Irish setter have the...Ch. 7 - Prob. 11P Ch. 7 - * A pickup truck (2268 kg) and a compact car (1100...Ch. 7 - * When does the kinetic energy of a car change...Ch. 7 - * When exiting the highway, a 1100-kg car is...Ch. 7 - Prob. 15P Ch. 7 - 16. * Flea jump flea pushes off a surface by...Ch. 7 - * Roller coaster ride A roller coaster car drops a...Ch. 7 - 18. * BIO EST Heart pumps blood The heart does...Ch. 7 - 19. * Wind energy Air circulates across Earth in...Ch. 7 - 20. * BIO Bone break The tibia bone in the lower...Ch. 7 - 21. * BIO EST Climbing Mt. Everest In 1953 Sir...Ch. 7 - 22. A door spring is difficult to stretch. (a)...Ch. 7 - * A moving car has 40,000 J of kinetic energy...Ch. 7 - 24. * The force required to stretch a slingshot by...Ch. 7 - Jim is driving a 2268-kg pickup truck at 20 m/s...Ch. 7 - 26. * A car skids 18 m on a level road while...Ch. 7 - s mass is m. An average friction force of...Ch. 7 - Prob. 28P Ch. 7 - Prob. 29P Ch. 7 - 30. In a popular new hockey game, the players use...Ch. 7 - 31. The top of a descending ski slope is 50 m...Ch. 7 - * If 20% of the gravitational potential energy...Ch. 7 - Prob. 33P Ch. 7 - 34. A driver loses control of a car, drives off an...Ch. 7 - * You are pulling a box so it moves at increasing...Ch. 7 - s speed increases from zero to 4.0 m/s in a...Ch. 7 - 37. ** EST Hit by a hailstone A 0.030-kg hailstone...Ch. 7 - 38. * BIO Froghopper jump Froghoppers may be the...Ch. 7 - 39. * Bar chart Jeopardy 1 Describe in words and...Ch. 7 - * Bar chart Jeopardy 2 Describe in words and with...Ch. 7 - 41. * Equation Jeopardy 1 Construct a qualitative...Ch. 7 - * Equation Jeopardy 2 Construct a qualitative...Ch. 7 - Prob. 43P Ch. 7 - 44. * Evaluation 2 Your friend provides a solution...Ch. 7 - 45. A crab climbs up a vertical rock with a...Ch. 7 - 46 * Work-energy bar charts for a person going...Ch. 7 - Prob. 47P Ch. 7 - * A 1060-kg car moving west at 16 m/s collides...Ch. 7 - * You fire an 80-g arrow so that it is moving at...Ch. 7 - 50. * You fire a 50-g arrow that moves at an...Ch. 7 - * To confirm the results of Problem 7.50, you try...Ch. 7 - 52. * Somebody tells you that Figure P7.52 shows...Ch. 7 - 54. A roofing shingle elevator is lifting a...Ch. 7 - 55. (a) What is the power involved in lifting a...Ch. 7 - * A fire engine must lift 30 kg of water a...Ch. 7 - * BIO Internal energy change while biking You set...Ch. 7 - * Climbing Mt. 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