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A ball of mass 0.54 kg moving east (+x direction) with a speed of 3.50 m/s collides head-on with a 0.720 kg?

A ball of mass 0.540 kg moving east (+x direction) with a speed of 3.50 m/s collides head-on with a 0.720 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision?

0.54 . 3.5 = 0.54 Vi + 0.72 . Vii ( Conservation of momentum )

0.54 . 3.5^2 = 0.54 Vi^2 + 0.72 . Vii^2 ( conservation of kinetic energy, because of elastic collision)

These are the two equations. They cam be combined to produce a quadratic in either Vi or Vii.

Vi might be negative ( it might bounce backwards from the collision ) so set up the equation to solve for Vii

Your calculator should have a quadratic solving function. Mine hasn't.