A bullet of mass 0.50kg is fired from a gun of mass 5kg what is the velocity of bullet if recoil velocity of gun is 5 m/s.
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Explanation:
mass of bullet = 50g = 50/1000 kg => 1/20kg
velocity of bullet = 1km/h => 5/18×1 m/s => 5/18 m/s
mass of gun = 5kg
velocity of gun (recoil) => ? (to be determined)
we know that ,
mass of bullet × velocity of bullet = mass of gun × velocity of gun
1/20 × 5/18 = 5 × velocity of gun
1/72 = 5×velocity of gun
1/72 × 1/5 = velocity of gun
1/360 m/s => velocity of gun (recoil)
or we can write, 1/360 × 18/5 => 1/100 km/h
hope this helps
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