- #1

hmorenom111

- 4

- 1

- Homework Statement
- Ball 1, with a mass of 140 g and traveling at 15.0 m/s , collides head on with ball 2, which has a mass of 350 g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic?

- Relevant Equations
- Conservation of momentum and conservation of kinetic energy equations

So after not being able to solve this problem I did some researching online. I was looking around and came across this video, where they give the following equations for solving for the final velocities of both balls:

v

v

I plugged in my numbers and got the correct answers v

In the video they don't show any of the algebra towards finding these equations and I can't seem to figure them out.

Any help is appreciated. Thanks!

v

_{1f}=((m_{1}-m_{2})/(m_{1}+m_{2}))*v_{1i}v

_{2f}=(2m_{1}/(m_{1}+m_{2}))*v_{1i}I plugged in my numbers and got the correct answers v

_{1f}=-6.43 m/s and v_{2f}=8.57 m/s.In the video they don't show any of the algebra towards finding these equations and I can't seem to figure them out.

Any help is appreciated. Thanks!