1. A kitten of mass m jumps onto a large pincushion of mass M that sits on a frictionless surface. The mass M is attached to an unstretched spring with spring constant k. The initial horizontal velocity of the kitten is v. The kitten clings to the pincushion, so they stick together after the collision. Find: a) the amplitude A of the resulting oscillation. b) the period of the resulting oscillation. c) the time it takes for the blocks to travel from the point of collision a distance ½A.