A block of mass m1 = 4 kg moves from rest under the influence of a varying force F(x) = 4x + 38, where F is in Newtons and x is in meters, on a rough horizontal surface having a coefficient of kinetic friction of 0.2. The block is connected by a light cord passing over a small frictionless pulley to a second hanging block of mass m2 = 3 kg as shown. If the system moves from x= 0 to x= 2m, calculate:
1) The work done by the force F(x) to move m1 from x= 0 to x= 2m.
2) The change in the potential energy of each mass
3) The work done by friction.
4) The change in the kinetic energy of the system.