# Collision on an air track

1. Mar 31, 2010

### stevethepirat

1. The problem statement, all variables and given/known data
A 0.147 glider is moving to the right on a frictionless, horizontal air track with a speed of 0.870 . It has a head-on collision with a 0.292 glider that is moving to the left with a speed of 2.20 . Suppose the collision is elastic. What is the magnitude of the final velocity of both
carts after the collision?

2. Relevant equations

M1U1+M2U2=M1V1+M2V2

3. The attempt at a solution
I can setup the equation and determine the direction both carts are traveling after the collision but with 2 unknowns for the final speeds I dont know how to find the exact speed each is traveling after the collision.

2. Mar 31, 2010

### PhanthomJay

If th collision is perfectly elastic, there is a 2nd equation you can use. What else is conserved besides momentum in an elastic collision?

3. Mar 31, 2010

### stevethepirat

Wouldn't Kinetic energy also be conserved?

4. Mar 31, 2010

### PhanthomJay

yes, sure

5. Mar 31, 2010

### stevethepirat

ok so I would set the initial kinetic energy equal to the final kinetic energy and solve for the velocity right?

6. Mar 31, 2010

### PhanthomJay

you'd have to sove the 2 equations with 2 unknowns for the velocities...as I recall, it is a little tricky..but nonetheless, solvable.