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Q. A crate of mass 150.0 kg lies at rest on a horizontal storage room floor. The coefficient of static friction between crate and floor is 0.72, and the coefficient of kinetic friction is 0.85. (You may suppose g = 10.0m/s2).

a) Suppose someone pulls on the horizontal rope attached to the crate. They slowly increase the tension in the rope. Illustrate a free body diagram of system.

b) Suppose someone pulls on a horizontal rope attached to crate with a force of 200N. Does the crate remain at rest or start moving? If it moves does it have constant speed or continue to accelerate? If it accelerates, what is its acceleration?

Under these conditions what is the frictional force on the crate?

c) Reply part (b) again if the pull on the rope is 1000N.

d) What force on the rope is required to start the crate sliding?

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