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## Homework Statement

A small smooth sphere of mass 3 kg moving on a smooth horizontal plane with speed 8 ms

^{-1}collides directly with a sphere of mass 12 kg which is at rest. Given that the spheres move in opposite directions after the collision, obtain the inequality satisfied by e.

## Homework Equations

v

_{2}- v

_{1}/u

_{1}- u

_{2}=e

## The Attempt at a Solution

To be honest, I'm totally lost. I know that v

_{2}-v

_{1}= 8e, and 0≤e≤1. Also, using principle of conservation of momentum, I know that v

_{1}+ 4v

_{2}=8. I don't know how to solve this because I only have two equations for 3 unknowns. Any hints?