A body of mass 0.25 kg is projected with

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A body of mass $0.25 \,kg$ is projected with muzzle velocity $100\,m{s^{ - 1}}$ from a tank of mass $100\, kg$. What is the recoil velocity of the tank ........ $ms^{-1}$

A

$5$

B

$25$

C

$0.5$

D

$0.25$

A body of mass $0.25 \,kg$ is projected with muzzle velocity $100\,m{s^{ - 1}}$ from a tank of mass $100\, kg$. What is the recoil velocity of the tank ........ $ms^{-1}$

Using law of conservation of momentum, we get

$100 \times v = 0.25 \times 100$ $⇒$ $v = 0.25\,m/s$