A car runs out of gas at the bottom of a hill. It rolls 70 m before coming to a complete stop. If the mass of the car is 800 kg, the coefficient of friction between the tire and the road is 0.6, and the hill's angle of inclination is 10 degrees. 1. How much work is done by the normal force? 2. Find the work done by friction. 3. Find the car's initial speed. 10°

A car runs out of gas at the bottom of a hill. It rolls 70 m before coming to a complete stop. If the mass of the car is 800 kg, the coefficient of friction between the tire and the road is 0.6, and the hill's angle of inclination is 10 degrees. 1. How much work is done by the normal force? 2. Find the work done by friction. 3. Find the car's initial speed. 10°

Name: A car runs out of gas at the bottom of a hill. It rolls 70 m before c
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Description: A car runs out of gas at the bottom of a hill. It rolls 70 m before coming toa complete stop. If the mass of the car is 800 kg, the coefficient of frictionbetween the tire and the road is 0.6, and the hill's angle of inclination is10 degrees.1. How

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 5P: Spiderman, whose mass is 80.0 kg, is dangling on the free end of a 12.0-m-long rope, the other end...

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(a) How long will it take an 850-kg car with a useful power output of 40.0 hp (1hp=746W) 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?
a shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 below the horizontal. The force is just sufficient to overcome various frictional forces, so the cart moves at constant speed, (a) Find the work done by the shopper as she moves down a 50.0-m length aisle, (b) What is the net work done on the cart? Why? (c) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesnt change, would the shoppers applied force be larger, smaller, or the same? What about the work done on the cart by the shopper?
a shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 below the horizontal. The force is just sufficient to overcome various frictional forces, so the cart moves at constant speed, (a) Find the work done by the shopper as she moves down a 50.0-m length aisle, (b) What is the net work done on the cart? Why? (c) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesnt change, would the shoppers applied force be larger, smaller, or the same? What about the work done on the cart by the shopper?
Spiderman, whose mass is 80.0 kg, is dangling on the free end of a 12.0-m-long rope, the other end of which is fixed to a tree limb above. By repeatedly bending at the waist, he is able to get the rope in motion, eventually getting it to swing enough that he can reach a ledge when the rope makes a 60.0 angle with the vertical. How much work was done by the gravitational force on Spiderman in this maneuver?
A student expends 7.5 W of power in lifting a textbook 0.50 m in 1.0 s with a constant velocity. (a) How much work is done, and (b) how much does the book weigh (in newtons)? The answers to Confidence Exercises may be found at the back of the book.
A worker pushes a wheelbarrow with a horizontal force of 50 N on level ground over a distance of 5.0 m. 11 a friction force of 43 N acts on the wheelbarrow in a direction opposite that of the worker, what work is done on the wheelbarrow by the worker? (a) 250 J (b) 215 (c) 35 J (d) 10 J (e) None of those answers is correct.
A sled stalls from rest at the top of a snow-covered incline that makes a 22 angle with the horizontal. After sliding 75 m down the slope, its speed is 14 m/s. Use the work-energy theorem to calculate the coefficient of kinetic friction between the runners of the sled and the snowy surface.
For the situation in Fig. 4.4a, if the applied force is removed, then the frictional force will continue to do work, so there is an energy transfer. Explain this transfer.
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 25.0° 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 sledge loaded with bricks has a total mass of 18.0 kg and it pulled at constant speed by a rope inclined at 20.0 above the horizontal. The sledge moves a distance of 20.0 m on a horizontal surface. The confident of kinetic friction between the sledge and surface it 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? (c) What is the mechanical energy lost due to friction?
A tension force of 175 N inclined at 20.0 above the horizontal is used to pull a 40.0-kg packing crate a distance of 6.00 m on a rough surface. If the crate moves at a constant speed, find (a) the work done by the tension force and (b) the coefficient of kinetic friction between the crate and surface.
The surface of the preceding problem is modified so that the coefficient of kinetic friction is decreased. The same horizontal force is applied to the crate, and after being pushed 8.0 m, its speed is 5.0 m/s. How much work is now done by the force of friction? Assume that the crate starts at rest.