A 1 kg mass (initially at rest) compresses a spring (spring constant 2500 N/m) by 0.2 m, and is released. The mass slides along a horizontal, frictionless table until it collides totally (perfectly) inelastically with an identical mass at rest.
a) What is the velocity of the 1 kg mass before hitting the second 1 kg mass?
b) What is the velocity of the two masses after they collide and stick together?
c) After colliding and sticking together, the two masses move up a frictionless inclined plane. What is the maximum height achieved by the two masses?