Question

1. A mass ma=2m, with an initial velocity of 4 m/s, and a mass mb=m, initially at rest, undergo an elastic collision. Calculate their final velocities after the collision.

2. A mass ma=2m, with an initial velocity of 4 m/s, and a mass mb=m, initially at rest, undergo a perfectly inelastic collision. Calculate the final velocity after the collision and the kinetic-energy loss.

3. A moving mass,m1, collides perfectly inelastically with a stationary mass,m2. Show that the total kinetic energy after the collision, Kf, is equal to m1/(m1+m2)*Ki , where Ki is the initial kinetic energy of this system.

4. Show mathematically that the kinetic energy of a moving particle with momentum p can be written as

K=p^2/2m.

Answer 1