A machine-gun is mounted on a 5 quintal vehicle on a smooth horizontal road. The gun fires 10
bullets per second, each of mass 10 g, with a speed of 500 m/s. The acceleration produced in
the vehicle is a/10 m/s^2. Find the value of a.
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Explanation:
M = mass of vehicle = 500 kg
n = no. of bullets fired /sec = 10 /sec
m = mass of each bullet = 0.01 kg
v = final velocity of bullets = 500 m/s
initial velocity of bullets = 0
recoil force exerted on gun by bullets
= n*m*(v-0) = 10*0.01*(500-0) = 50 N
force exerted by gun on vehicle
= 50 = M*(a/10) = 500*(a/10)
a = 50/50 = 1 m/sec^2
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Answer:
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Explanation:
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