When a person jumps from a tree to the ground, what happens to the momentum of the person upon striking the ground?
In this problem we have to analyse how do the momentum of the person varies upon striking the ground.
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Momentum is a physical quantity which conveys information about the amount of motion contained by the body. If a body of mass moves with a velocity , magnitude of the momentum possess by the body is,
Law of conservation of linear momentum: If no external force acts on the system, then the final momentum of the system is equal to the initial momentum of the system. Thus momentum is conserved.
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In this case, the system comprises of the person on the tree and the earth. Let us consider the mass of the person as and mass of the earth as . Let the initial velocity of the person and the earth be respectively.Since, the mass of the earth is very large in comparison to the mass of the person, therefore the velocity of the earth will be very small in comparison to the velocity of the person and thus it is neglected as it cannot be measured.
Using momentum definition, before collision the total initial momentum of the system is,