Q1. A machine gun can fire bullet of 50 gm at a speed of 2000 m/s, the man being holding the gun can exert an average force of 200 N against the gun. Calculate the maximum number of bullet which can fire per minute.

Asked by sbidipak | 5th Jul, 2017, 07:08: PM

Expert Answer:

begin mathsize 12px style Given space that space mass space of space the space bullet space equals space 50 space gm space equals space 0.5 space kg
Velocity space of space each space bullet space equals space 2000 space straight m divided by straight s
Let space straight n space be space the space number space of space bullets space fired space per space second.
Change space in space momentum space of space the space bullets space coming space out space of space the space gun space per space second space is space e qual space to space the space force space on space the space man.
Thus space we space have
straight f space equals fraction numerator space mvn over denominator straight t end fraction
rightwards arrow 200 space straight N space equals space fraction numerator 0.05 space cross times space 2000 space cross times space straight n over denominator 1 space straight s end fraction
rightwards arrow space straight n space equals space 2 space bullets space per space second end style

Answered by Yashvanti Jain | 6th Jul, 2017, 10:14: AM