A worker is pushing a crate of mass m = 10.2 kg on a frictional horizontal surface with a constant pushing force FP = 65.5 N pointing in the horizontal direction with respect to the horizontal. The worker pushes the crate a distance d = 30.0 m at a constant velocity v = 3.20 m/s.

(a) What is the coefficient of kinetic friction k between the crate and the floor? (assume k is constant)

(b) How much work is done by friction on the crate? (c) How much work is done by gravity on the crate? (d) How much work is done by the worker exerting the pushing force (FP)? (e) How much power is delivered by the worker exerting the pushing force?