Solveeit Logo
Login

Question

Question: A body of mass 0.25 kg is projected with muzzle velocity \(100ms^{- 1}\) from a tank of mass 100 kg....

A body of mass 0.25 kg is projected with muzzle velocity 100ms−1100ms^{- 1} from a tank of mass 100 kg. What is the recoil velocity of the tank

A

5ms−15ms^{- 1}

B

25ms−125ms^{- 1}

C

0.5ms−10.5ms^{- 1}

D

0.25ms−10.25ms^{- 1}

Answer

0.25ms−10.25ms^{- 1}

Explanation

Solution

Using law of conservation of momentum, we get

100×v=0.25×100100 \times v = 0.25 \times 100 ⇒ v=0.25m/sv = 0.25m/s