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

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Homework Help Overview

The problem involves a 77 kg pole-vaulter falling from a height of 4.8 m onto a foam-rubber pad, with the goal of calculating the velocity just before impact and the force exerted during the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of the pole-vaulter's velocity before reaching the pad and the force during the collision. There is a focus on clarifying the time involved in the fall versus the time of contact with the pad.

Discussion Status

Some participants have provided guidance on the misunderstanding regarding the timing of the fall and the use of kinematic equations. There is acknowledgment of the need to calculate the fall time separately from the impact time.

Contextual Notes

Participants note that the time of 0.24 seconds is specifically the duration of contact with the foam pad, not the fall time, which is a critical distinction for solving part (a).

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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 .
 
Last edited:
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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