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What would happen if you fire a gun that has bullet ten times as massive as the gun.

Question

What would happen if you fire a gun that has bullet ten times as massive as the gun.

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Step 1

Given:

Mass of the bullet is 10 times the mass of the gun

Step 2

If the mass of the bullet is ten times the mass of the gun then the gun will recoil with a velocity ten times the velocity of the bullet. Velocity of both the bullet and the gun is zero before the bullet leaves the gun. As the bullet leaves the gun moving in forward direct, in orde...

So, if the mass of the gun
m
Mass of the bullet 10 m
Let the velocity of the bullet is v and velocity of the gun v
Initial linear momentum of the system = 0
Final linear momentum = mv' + 10mv
So final momentum must be zero too. Hence, mv' + 10mv = 0
Or v 10v
Hence, velocity of the gun is 10 times in magnitude of the velocity
of the bullet but in reverse direction, that's why it is called recoil velocity
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So, if the mass of the gun m Mass of the bullet 10 m Let the velocity of the bullet is v and velocity of the gun v Initial linear momentum of the system = 0 Final linear momentum = mv' + 10mv So final momentum must be zero too. Hence, mv' + 10mv = 0 Or v 10v Hence, velocity of the gun is 10 times in magnitude of the velocity of the bullet but in reverse direction, that's why it is called recoil velocity

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