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A 50 kg crate slides down a 6 m ramp inclined at an angle of 35 degrees to the horizontal. A worker pushes on the crate parallel to the ramp so that it slides down with a constant velocity. If the coefficient of kinetic friction is .33

a) write equations of motion for the system

b) solve for the force exerted by the worker and compute the work done by the worker

c) compute the force of kinetic friction and find the work done by kinetic friction

d) how much work is done by gravity?

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