A 2-kg block is released from rest at the top of an inclined planeof angle θ = 30°. The block is located distance l =20 cm away from a spring that has spring constant k =300 N/m, as shown. The coefficient of friction between the block and plane is μk = 0.10.
a) What forces do work on the block after it is released?
b) If the block travels distance d (> l)along the incline, obtain expressions for the work done byeach force.
c) Make a sketch of the speed of the block as a function of distance traveled along the incline.
d) Label the sketch to indicate critical points in themotion; for instance, the point at which the block hits the spring.
e) How far down the ramp has the block traveled when ithas reached its maximum speed?
f) What is the maximum speed of the block?
g) What is the maximum compression of the spring?
h) After hitting the spring for the first time, how farup the incline does the block travel beyond the end of the relaxed spring?