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Question

Question: N bullets each of mass m kg are fired with a velocity \(vms^{- 1}\) at the rate of n bullets per sec...

N bullets each of mass m kg are fired with a velocity vms1vms^{- 1} at the rate of n bullets per second upon a wall. The reaction offered by the wall to the bullets is given by

A

nmv

B

Nmvn\frac{Nmv}{n}

C

nNmvn\frac{Nm}{v}

D

nNvmn\frac{Nv}{m}

Answer

nmv

Explanation

Solution

Total mass of bullets = Nm, time t=Nnt = \frac{N}{n}

Momentum of the bullets striking the wall = Nmv

Rate of change of momentum (Force) = Nmvt\frac{Nmv}{t}= nmv.