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 one 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

Answer 1

Step-by-step explanation:

Impulse = Force x time = change in momentum

F x t = m ( v - u )

In both cases, u are same and v=0

So change in momentum is same

hence , impulse is same.

F = Change in momentum / time

In case of air mattress , time increases

Hence average force decreases .

Option e is correct .