A machine gun fires a bullet of mass 65 gram with a velocity of 1300 metre per second the man holding it can exert a maximum force of 169 newton
Answers
Answer:
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Correct Question: A machine gun fires a bullet of mass 65 g with a velocity of 1300 m/s. The man holding it can exert a maximum force of 169 N on the gun. The number of bullets he can fire per second will be?
Answer:
The number of bullets man can fire will be 2.
Explanation:
Given;-
Mass of bullet, m = 65 g
Velocity of bullet, v = 1300 m/s
Force on man, F = 169 N
Let the number of bullets man can fire per second be 'n'.
Now, we know that;-
Force on Man = - Force on bullet
F = dP/ dt [where P = momentum] ... by formula.
F = mv - 0/ t [since, initial momentum = 0]
F = ( mv/t ) × n [where, n = number of bullets]
169 = 65 × 1300 × n / 1000 × 1
1690 = 65 × 13 × n
1690 = 845 × n
n = 1690/845
n = 2
Hence, the man can fire 2 bullets per second.
Hope it helps! ;-))