im3 10Ice UU as the particle moves along the x-axis from x=0 to x = L? single 6.0 L, 53. || The gravitational attraction between two objects with masses m, and m2, separated by distance x, is F= Gm m,/x², where G is the gravitational constant. a. How much work is done by gravity when the separation changes from x, to x,? Assume x,

im3 10Ice UU as the particle moves along the x-axis from x=0 to x = L? single 6.0 L, 53. || The gravitational attraction between two objects with masses m, and m2, separated by distance x, is F= Gm m,/x², where G is the gravitational constant. a. How much work is done by gravity when the separation changes from x, to x,? Assume x,

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.57P

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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 25.Oc 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?
A 4.00-kg crate Marling at rest slides dawn a rough 6.00-m-long ramp, inclined at 30.0 below the horizontal The magnitude of the force of friction between the crate and the tamp is 8.00 N (a) How much work is done on the crate by friction? (b) What is the change in potential energy of the crate in sliding down the ramp? (c) What is the speed of the crate at the bottom of the incline? (See Sections 5.2 and 5.3.)
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. (The energy content of gasoline is about 140 Mi/gal.) (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?
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 nm a 4.O0-kW electric clothes dryer? (b) How many people would it take to replace a large electric power plant that generates 800 MW?
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Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 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?
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