A machine gun fires a bullet of mass 50 g with a velocity of 500 ms. The man holding it can exert a maximum force of 150 N on the gun to
keep it stationary. The maximin number of bullets that he can fire per second is
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Answer:
The number of bullets man can fire will be 6.
Explanation:
Given;-
Mass of bullet, m = 50 g
Velocity of bullet, v = 500 m/s
Force on man, F = 150 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]
150 = 50 × 500 × n / 1000 × 1
150 = 25 × n
n = 150/25
n = 6
Hence, the man can fire 6 bullets per second.
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