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Q.

A heavy body of mass M moving with a velocity 10m/s collides elastically with a very light body of mass m at rest. The heavy body is brought to rest after the collision. The velocity of light body will be__

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a

5 m/s

b

1 m/s

c

0

d

10 m/s

answer is C.

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Detailed Solution

According to law of conservation of energy

$\frac{1}{2} \times M \times {(10)}^{2} = \frac{1}{2} m v^{2}$ ……….(1)

According to law of conservation of momentum

$M \times 10 = m v$ ………..(2)

Divide eq. (1) by (2)

$v = 10 m / s$

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