A high-jumper, having just cleared the bar, lands on an air mattress and comes t

Question

A high-jumper, having just cleared the bar, lands on an air mattress and comes to rest. Had she landed directly on the hard ground, her stopping time would have been much shorter. Using the impulse-momentum theorem as your guide, determine which of the following statements is correct.
a. the air mattress exerts the same impulse, but a greater net average force, on the high-jumper than does the hard ground
b. the air mattress exerts a greater impulse, and a greater net average force, on the high-jumper than does the hard ground
c. the air mattress exerts a smaller impulse, and a smaller net average force, on the high-jumper than does the hard ground
d. the air mattress exerts a greater impulse, but a smaller net average force, on the high-jumper than does the hard ground
e. the air mattress exerts the same impulse, but a smaller net avg force, on the hj than hg

Explanation / Answer

1.The impulse must be the same because the same falling motion has to be stopped. 2.The net avg force is smaller because the collision between the bag and the jumper has a larger time than the jumper and the ground so the average force experienced by the jumper is less during the bad collision. Therefore your answer is e.

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