Calculating Force from Pole-Vaulter's Fall onto Foam-Rubber Pad

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A 77 kg pole-vaulter falls from a height of 4.8 m and comes to rest on a foam-rubber pad in 0.24 seconds. To calculate the velocity just before impact, the time of the fall must be determined, as the 0.24 seconds only accounts for the deceleration on the pad. The correct approach for part a involves using kinematics or energy principles rather than the initial method used. For part b, the calculated force exerted on the pole-vaulter during the collision is approximately 754 N upward. The discussion highlights the importance of distinguishing between the fall time and the impact time when solving the problem.
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Homework Statement


A 77 kg pole-vaulter falls from rest from a height of 4.8 m onto a foam-rubber pad. The pole-vaulter comes to rest 0.24 s after landing on the pad.
a)Calculate the athlete's velocity just before reaching the pad.
b)Calculate the constant force exerted on the pole-vaulter due to the collision.



Homework Equations



F=p/t

The Attempt at a Solution



for part a i did Vf=Ft/m and 755.4(0.24)/77 and got 2.35 m/s downward

for b i did F=p/t and (77)(2.35)/0.24 and got 754 N upward.

I think i calcuated the force for part a wrong and that 's why my answer was wrong.
 
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mortho said:

Homework Statement


A 77 kg pole-vaulter falls from rest from a height of 4.8 m onto a foam-rubber pad. The pole-vaulter comes to rest 0.24 s after landing on the pad.
a)Calculate the athlete's velocity just before reaching the pad.
b)Calculate the constant force exerted on the pole-vaulter due to the collision.

...

The Attempt at a Solution



for part a i did Vf=Ft/m and 755.4(0.24)/77 and got 2.35 m/s downward

All right, one problem right off the bat is that the 0.24 seconds is the time it takes for the force from the foam pad to bring the pole-vaulter to a stop, not the amount of time it took them to fall 4.8 meters. To answer (a), you will need to calculate how long that takes.

Your equation and how you used it otherwise is fine, although a bit roundabout: you used the vaulter's weight and divided it by their mass, which gives you g. So you could have just used V_f = gt for their fall. Now you need to find t .
 
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For part A, keep in mind that you do not know the time it takes for him to fly until the pad, it is not .24 seconds (that is the time he is in contact with the pad itself). You can use kinematics or energy to do part A.

Part B looks right.

edit: yep ditto dynamicsolo, posted at the same time :D
 
Oh thanks guys i figured this one right after i posted it. but thanks anyways
 
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