Blocks with friction: A block of mass M1 rests on top of a block of mass M2 that rests on a horizontal surface. A light rope attached to M2 is used to pull on it with a force F. The coefficient of sliding friction between M2 and the horizontal surface is mu 2. When M2 is pulled (and therefore accelerates), the frictional force between the blocks is not big enough to keep M1 stuck to it, hence M1 slides on M2. The coefficient of kinetic friction between the two blocks is mu 1.

a) Draw free body diagrams and find the net force on each block.

b) Find the velocities of the blocks M1 and M2 at the moment when M1 has moved a distance d relative to M2

c) Discuss the results in part b). What are the possible cases?

d) How would the answers in part b) change if it would be no friction between the two blocks? (if mu 1=0)

e) Assign appropriate numerical values to the variables in this problem for illustrating all the situations that your team identified as symbolic solutions.