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## Homework Statement

A sphere of mass m is moving with a speed V along a horizontal straight line. It collides with an identical sphere of mass m moving along the same straight line with speed u (u<V). Show that the magnitude of impulse on either sphere is

½m(1+e)(V-u), where e is the coefficient of restitution between the two spheres.

## Homework Equations

m

_{1}u

_{1}+m

_{2}u

_{2}= m

_{1}v

_{1}+m

_{2}v

_{2}

V

_{2}-V

_{1}/ u

_{1}-u

_{2}= e

## The Attempt at a Solution

I calculated impulse on sphere with velocity V. I =m(V

_{1}-V). Using coefficient of restitution, I get I = m(u

_{1}-e(V-u)-V). Using equation formed from conservation of momentum, I get I =m[u-V

_{1}- e(V-u)]. I have trouble getting rid of the u and V

_{1}terms. How do I go about this?