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Bernoulli's Principle

A moving mass...

Question

A moving mass of $8 k g$ collides elastically with a stationary mass of $2 k g$ .If $K E$ be the initial kinetic energy of the moving mass, the kinetic energy left with it after the collision will be :

A

0.08 K E

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B

0.36 K E

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C

0.64 K E

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D

0.80 K E

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Solution

The correct option is B $0.36 K E$
$C o n s e r v a t i o n o f l i n e a r m o m e n t u m 8 v = 2 v_{1} + 8 v_{2} a n d d e f i n t i o n o f c o e f f i c i e n t o f R e s t i t u t i o n \frac{v_{2} - v_{1}}{v - 0} = - 1 \Rightarrow v_{2} - v_{1} = - v s o l v i n g t h e s e e q u a t i o n s w e g e t v_{2} = 0.6 v f i n a l K E = \frac{1}{2} m {(0.6 v)}^{2} = 0.36 K E$

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