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A factory worker pushes a 30.0-kg crate a distance of 4.5

Chapter 3, Problem 3E

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QUESTION:

A factory worker pushes a 30.0-kg crate a distance of 4.5 m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic friction between the crate and the floor is 0.25. (a) What magnitude of force must the worker apply? (b) How much work is done on the crate by this force? (c) How much work is done on the crate by friction? (d) How much work is done on the crate by the normal force? By gravity? (e) What is the total work done on the crate?

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QUESTION:

A factory worker pushes a 30.0-kg crate a distance of 4.5 m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic friction between the crate and the floor is 0.25. (a) What magnitude of force must the worker apply? (b) How much work is done on the crate by this force? (c) How much work is done on the crate by friction? (d) How much work is done on the crate by the normal force? By gravity? (e) What is the total work done on the crate?

ANSWER:

Solution 3E Step 1 of 8: In the given problem, a crate of mass m=30kg is kept of the horizontal floor with coefficient of kinetic friction =0.25 is moved by an applied force in such a way that, k the crate moves at constant velocity. It can be pictorially represented as shown below,

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