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Question

If a man of mass M jumps to the ground from a height h and his centre of mass moves a distance x in the time taken by him to 'hit' the ground, and the average force acting on him (assuming his retardation to be constant during his impact with the ground) is

A
Mgh/x
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B
Mgx/h
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C
Mg(h/x)2
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D
Mg(x/h)2
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Solution

The correct option is A Mgh/x
As the centre of mass moves through a distance xx, the averge force FF acting on the man is calculate from :
Work done = Change in potential energy
Fx=MghFx=Mgh
F=Mgh/x Hence Option A is the right answer.



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