Two rubber balls have an elastic head-on collision with each other. One ball has a mass of 0.25 kg and an initial velocity of 5.00 m/s. The other has a mass of 0.80 kg and is initially at rest. No external forces act on the ball. What are the velocities of the balls after the collision?
Apply momentum conservation^ initial momentum equals to the final momentum (after the collision):
The initial is
The final consists of momenta of both balls:
So, we have
To find the velocities, apply kinetic energy conservation as well:
So, we have two equations, and the solution is
"v=-2.62\\text{ m\/s (the 0.25kg ball rebounds)},\\\\\nu=2.38\\text{ m\/s}."
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