A bullet of mass 25 grams is horizontally fired with a velocity of 150 m/s^-1 from a gun of mass 4kg what is the recoil velocity of the gun ?
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According to law of conservation of linear momentum,
MV = mv.
M is mass of pistol = 4 kg.
m is mass of bullet = 25 g = 25 (10 ^-3) kg.
v = velocity of bullet = 150 m/s.
V is recoil velocity of pistol . V= (m/M) v = [ 25(10^-3)/(4)] (150) = 0.9375 m/s
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mass of bullet,
m1 = 25g
= 25/1000 kg
= 0.025 kg
velocity, v = 150 m/s
mass of gun, m2 = 4kg
Using momentum conservation along horizontal line
m1u1 + m2v2 = m1v1 + m2v2
( 0.025 ) ( 0 ) + ( 4 ) ( 0 ) = 0.025 ( 150 ) + 4 ( V2 )
0 = 0.25 × 15 + 4V2
– 3.75 = 4V2
V2 = – 3.75/4
V2 = – 0.9375 m/s
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