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Question: A particle strikes elastically with another particle with velocity V. After collision, it moves with...

A particle strikes elastically with another particle with velocity V. After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest :

A

3V2\frac{3V}{2}

B

V2\frac{V}{2}

C

V

D

None of these

Answer

3V2\frac{3V}{2}

Explanation

Solution

(v2v1)(\overset{\rightarrow}{v_{2}} - \overset{\rightarrow}{v_{1}}) = e(u1u2)(\overset{\rightarrow}{u_{1}} - \overset{\rightarrow}{u_{2}}) or (v2v2)\left( \overset{\rightarrow}{v_{2}} - \frac{v}{2} \right) = 1 (v – 0)

or v2 = 3v/2