N bullets each of mass m are fired with a velocity v m/ s at the rate of n bullets per sec., upon a wall. If the bullets are completely stopped by the wall, the reaction offered by the wall to the bullets is?

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Answer 1 · 2018-07-19T17:08:19

#nmv#

The reaction (force) offered by the wall will be equal to the rate of change of momentum of bullets hitting the wall. Hence reaction is

#=\frac{\text{final momentum}-\text{initial momentum}}{\text{time}}#

#=\frac{N(m(0)-m(v))}{t}#

#={N}/t (-mv)#

#=n(-mv)\quad(N/t=n=\text{number of bullets per second})#

#=-nmv#

The reaction offered by the wall in opposite direction is

#=nmv#