A `2kg ` mass is attached to a spring of force constant `600 N//m` and rests on a smooth horizontal surface. A second mass of `1kg` slides along the surface toward the first at `6m//s`.
(a) Find the amplitude of oscillation if the masses make a perfectly inelastic collision and remain together on the spring. what is the period of oscillation ?
(b) Find the amplitude and period of oscillation if the collision is perfectly elastic.
( c) For each case , write down the position `x` as a function of time `t` for the mass attached to the spring, assuming that the collision occurs at time `t = 0`. What is the impulse given to the `2kg mass in each case ?