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What would the mass of the particle that exerts that same force in each case would be if you hold it at earth's surface?

On the problem I used E = pc to solve part (a). My lack of understanding lies in part (b). Where I am told that the momentum change is twice the amount. I do not understand.

[P][/total] = [P][/1] + [P][/2]

Shouldn't [P][/1] cancel with [P][/2] since the momentum of [P][/2] is moving in the opposite direction?