A physics student pulls a block of mass m = 23 kg up an incline at a slow constant velocity for a distance of d = 4 m. The incline makes an angle q = 25° with the horizontal. The coefficient of kinetic friction between the block and the inclined plane is µk = 0.3.

Question

a) What is the work Wm done by the student?

Wm = J
At the top of the incline, the string by which she was pulling the block breaks. The block, which was at rest, slides down a distance d = 4 m before it reaches a frictionless horizontal surface. A spring is mounted horizontally on the frictionless surface with one end attached to a wall. The block hits the spring, compresses it a distance L = 0.9 m, then rebounds back from the spring, retraces its path along the horizontal surface, and climbs up the incline. b) What is the speed v of the block when it first reaches the horizontal surface?

v = m/s

c) What is the spring constant k of the spring?

k = N/m
d) How far up the incline d1 does the block rebound?