Write an expression for the final momentum (momentum of you shoe after you throw the shoe). Assume you are moving at a speed v. Use m for your total mass (including shoes) and shoe for the mass of the shoe.

P2 = Mv + 6Ms

Explanation:

Let the mass of the shoe be Ms and let my mass be M

Let Speed of the shoe be vs and my final speed be v

We were given that there was no motion initially. So, the total momentum before throwing the shoe is zero, and by the principle of conservation of momentum, the total momentum after throwing the shoe must also be equal to zero.

So,

P2 = 0 = Mv + Ms*vs

Given that vs = 6m/s

P2 = Mv + 6Ms