# Linear Momentum: Collisions

### Problems

Problem :

Two balls with equal masses, m , and equal speed, v , engage in a head on elastic collision. What is the final velocity of each ball, in terms of m and v ?

Problem :

Two balls, each with mass 2 kg, and velocities of 2 m/s and 3 m/s collide head on. Their final velocities are 2 m/s and 1 m/s, respectively. Is this collision elastic or inelastic?

Problem :

Two balls of mass m 1 and m 2 , with velocities v 1 and v 2 collide head on. Is there any way for both balls to have zero velocity after the collision? If so, find the conditions under which this can occur.

Problem :

A car of 500 kg, traveling at 30 m/s rear ends another car of 600 kg, traveling at 20 m/s. in the same direction The collision is great enough that the two cars stick together after they collide. How fast will both cars be going after the collision?

Problem :

One pool ball traveling with a velocity of 5 m/s hits another ball of the same mass, which is stationary. The collision is head on and elastic. Find the final velocities of both balls.

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