Question

A block of mass m1 begins at the bottom of a ramp that is inclined an angle θ above the horizontal. It is initially moving up the ramp with velocity v0. A second block of mass m2 is at rest on the ramp a distance d up the ramp from the first block. Friction keeps the second block from sliding down. The coefficient of kinetic friction between the ramp and the blocks is µk for both blocks.
What is the minimum initial velocity v0 the first block must have in order to strike the second block?
Assuming the first block has an initial velocity greater than the above minimum and does indeed strike the second block, if the two blocks stick together after the collision, how much farther up the ramp (past where the second block was resting) will they slide before stopping?

Answer 1