From a rifle of mass 5kg, a bullet of mass 50gram is fired with an initial velocity of 50m/s. Calculate the initial recoil velocity of the rifle.
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here mass of rifle , M = 5Kg
mass of bullet , m = 50gm = 0.05kg
initial velocity of bullet , u = 50 m/s
we have to find initial recoil velocity of rifle , U
final velocity of bullet , v = 0
final velocity of rifle , V = 0
use conservation of linear momentum,
0.05 × 50 + 5 × U = m × 0 + M × 0
0.05 × 50 + 5U = 0
5U = -0.05 × 50
U = -0.5 m/s
hence, initial velocity of refile is -0.5 m/s
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