From a rifle of mass 4 kg, a bullet of mass
50 g is fired with an initial velocity of 35 ms.
Calculate the initial recoil velocity of the rifle.
[CBSE 2011]
m =
50 g
Ans. Mass of rifle, M = 4 kg; Mass of bullet,
0.05 kg
Initial velocity of rifle (U) and bullet (u) = 0.
Final velocity of bullet, v = 35 ms-1
Recoil velocity of rifle, V = ?
By law of conservation of momentum,
mu + MU = my + MV
Since u = U = 0,
V=-
M
-(0.05)
x 35
4
= -0.43 ms
5-1
Recoil velocity of gun in backward direction
= 0.43 ms-1
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