# Collision on an air track

## Homework Statement

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?

## Homework Equations

M1U1+M2U2=M1V1+M2V2

## 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.

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

Wouldn't Kinetic energy also be conserved?

PhanthomJay
Homework Helper
Gold Member
Wouldn't Kinetic energy also be conserved?
yes, sure

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

PhanthomJay