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The 'e' Equation

A marble goin...

Question

A marble going at a speed of $12 m s^{- 1}$ hits another marble of equal mass at rest. If the collision is perfectly elastic. Find the velocity of the first after collision.

A

4

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B

0

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C

2

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D

3

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Solution

The correct option is B $0$
$m (12) + m (0) = m v_{1} + m v_{2} = 0 \Rightarrow v_{1} + v_{2} = 12$
$- \frac{v_{1} - v_{2}}{12 - (0)} = 1 \Rightarrow v_{1} - v_{2} = - 12$
$t h u s, v_{1} = 0 v_{2} = 12, s o v e l o c i t y o f f i r s t a f t e r c o l l i s i o n i s 0.$

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