Two masses are connected by a light string passing over a frictionless pulley as shown on Figure. The M2= 6.1 kg mass is released from rest at height h = 2.8 m . We are given that M1=2.7 kg and I, the moment of inertia of the pulley is I = 0.198 kg m2 and its radius is R = 0.200 m.

a) What is in Joules, the initial gravitational potential energy of the system relative to the ground?

b) What is in Joules, the final (the instant m2 touches the ground) gravitational potential energy of the system relative to the ground?

c) What is in Joules, the final (the instant m2 touches the ground) kinetic energy of the system?

d) Determine the speed of M1 just as M2 hits the ground. Answer in units of m/s