A shell of mass 30kg is fired from a gun of mass 720kg the recoils with a velocity of 15m/s - Science - Laws of Motion

Question

A shell of mass 30kg is fired from a gun of mass 720kg the recoils
with a velocity of 15m/s find the muzzle vel

Ayyagari Ramlal · Accepted Answer

Dear Student,

Mass of the gun, M =
720 kg
Mass of the shell, m = 30
kg
Muzzle speed of the shell, = v
m/s
Recoil speed of the gun = 15 m/s
Both the gun and the shell are at rest
initially
Initial momentum of the system = 0
Final momentum of the system =
mv –
MV
Here, the negative sign appears because the
directions of the shell and the gun are opposite to each
other
According to the law of conservation of
momentum:
Final momentum = Initial momentum
mv –
MV = 0

v = MV/m
v = (720 x 15)/30
v = 360 m/s

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A shell of mass 30kg is fired from a gun of mass 720kg the recoils with a velocity of 15m/s find the muzzle vel.