Imagine two billiard balls on a pool table. Ball A has a mass of 7 kilograms and ball

B has a mass of 2 kilograms. The initial velocity of the ball A is 6 meters per second
to the right, and the initial velocity of the ball B is 12 meters per second to the left.

2. Compare the final velocity of the balls.

3. What can you say about the total momentum before and after the collision?

1 answer

Energy and Momentum conservation applies;
Momentum:
7*6+2*(-12)=7Va+2Vb
Energy:
7/2*6^2+2/2*(-12)^2=7/2 * Va^2+2/2*Vb^2

On first equation, solve for either of the velocity. For example, Va
7Va=-2Vb+42-24
Now, put that term on the right into the energy equation for Va, and solve for Vb. Once you get Vb, go back and solve for Va and compare them