A gun of 1500kg fires a shot of mass 50kg with a velocity 250 m/s. Find the impulse exerted by shot on the gun? A) 1250 NS B) 12500 NS C) 125 NS D) 1.250 NS
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option: B)
Explanation:
principle of conservation of momentum:
Total momentum before firing the gun = Total momentum after gun fire
1500kg×0+50kg×0 = 1500kg×V+50kg×250 m/s
0 = 1500V+12500
1500V = -12500
V = -25/3 m/s.
Now,
impulse exerted by shot on the gun =
change in momentum of the gun
= 1500kg x (0+25/3)m/s
= 1500x25/3 kgm/s
= 12500Ns.
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