Question

A missile of mass 2 kg is fixed from a bazooka of mass 80 kg. given that the muzzle speed of the missile is 40 m/s ,calculate the recoil speed of the gun?​

Answer 1

Explanation:

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Answer 2

Answer:

Given,

m (mass of missile) = 2 kg

M (mass of the bazooka) = 60 kg

v (muzzle velocity) = 40 m/s

Let V be the recoil speed of the bazooka.

Initial momentum of the system = 0

Final momentum of the system = mv –MV

(There is a –ve sign because the bazooka and missile move in opposite directions)

Now, according to the law of conservation of momentum:

Final momentum = initial momentum

mv – MV = 0

Thus, V = mv/M

= ( 2 x 40 ) / 80

= 1 m / s.

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