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Suppose the ski patrol lowers a rescue sled and victim,

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 8PE Chapter 7

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 8PE

Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a 60.0º slope at constant speed, as shown in Figure 7.37. 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?

Step-by-Step Solution:

Step 1 of 6</p>

 The sled and victim, having a total mass of ,coming downward at slope at a constant speed is shown in the figure below.

                

Step 2 of 6</p>

a) We need to find out the work done by friction as the sled moves  along the hill.

The work done by friction is nothing but the sum of frictional force and the distance moved by the sled is given by,

..............(1)

We know that the coefficient of friction is

So                                    

Put this value in equation (1)

From figure                        

Then                                 

distance

Coefficient of friction

Acceleration due to gravity

angle

Then                         

work done by friction as the sled moves  along the hill is

Step 3 of 6</p>

b) We need to find out how much work is done by the rope on the sled.

Let T is the Tension of the rope.

from figure                  

Implies                        

We found out the value of

Put this value in the above equation

Step 4 of 6

Chapter 7, Problem 8PE is Solved
Step 5 of 6

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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Suppose the ski patrol lowers a rescue sled and victim,

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