Question

I was given this problem, and are having problems. I am taking AP Physics and I want to be able to understand the concept. Thank you for your help.

A block of mass m = 3.65 kg is attached to a spring (k = 27.5 N/m) by a rope that hangs over a pulley of mass M = 7.30 kg and radius R = 2.81 cm, as shown in the figure.

a) Treating the pulley as a solid homogeneous disk, neglecting friction at the axle of the pulley, and assuming the system starts from rest with the spring at its natural length, find the speed of the block after it falls 1.00 m.

b) And find the maximum extension of the spring.