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## Homework Statement

Mass m1 = 2kg travelling at v = 3 m/s

Mass m2 = 3kg travelling at v = 2 m/s

After an elastic collision (from opposite directions) what will be the momentum and velocities of each of the bodies ?

## Homework Equations

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Momentum = mass x velocity

##K.E = \frac {1}{2}.m.v^2 ##

## The Attempt at a Solution

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The momentum of each body is the same in magnitude. as ## m1.v1 = m2v2 ##

But, kinetic energies will be different. Using the formula we get ## K.E1 = 9 J ## and ##K.E2 = 6 J##

In an elastic collision both kinetic energy and momentum are conserved.

After a perfectly elastic collision (I think)both the bodies will retain the same momentum that will leave velocity as the only variable, does that mean they will retain the same kinetic energies ?

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