A person performs a jumping experiment. She jumps from a crouched position as ha

Question

A person performs a jumping experiment. She jumps from a crouched position as hard as

she can to reach a maximum height. Another person measures the position of her belly-button

(which we would take as the position of her center of mass) in several positions (as shown in

the attached table):

Mass - 80, y1[m] - 0.4, y2[m] - 1.02, y3[m] - 1.60

- y1 : Position when she is crouched.

- y2 : Position when she is about to leave the ground.

- y3 : Position when she reaches her maximum height.

Based on these measurements, determine the amount of energy that she expended in the jump.

Explanation / Answer

work done by person=workdone by gravity

=mg(final height - initial height)=80*9.8*(1.6-0.4)=940.8

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