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it is just same as recoil velocity of Gun..

but even in recoiling of gun, how can the final momentum be 0?

v = - Mv/m = -50*3/300 = -0.5m/s

Yes, I know the answer but I can't understand how total momentum is 0.

Law of conservation of momentum..says that momentum is conserved

Do..u knw abt Rocket propulsion

Momenta are vectors.

If you have two vectors in opposite directions, they can cancel eachother out.

even though the mass gets reduced..the momentum is conserved

even if they are different?

The girl's momentum is in one direction and the boat's in another direction.

I mean do they cancel each other even if the magnitudes are different?

The magnitudes aren't different.

Remember, momentum is a function of both mass and velocity.

So mass*velocity of the bullet or girl will always be equal to mass*velocity of gun or boat?

Yes, assuming you are in a closed system. Which you are.

What is a closed system?

Please help I have a test coming up soon.

Thanks I got it now.

This doesn't happen in the case of a collision right?

Momentum is not conserved in an inelastic collision. Momentum is conserved in an elastic collision.

Thanks.