Conservation of energy and work

AI Thread Summary
A 70.4 kg man falls 1.33 m, reaching a speed of 5.11 m/s just before impact. To calculate the average force exerted on him by the ground, the problem requires determining the deceleration over a cushion distance of 0.508 cm. The relevant equation involves using Vf^2 = Vi^2 + 2a(xf - xi) to find acceleration, where Vf is 5.11 m/s and Vi is 0 m/s. The values for xf and xi need to be correctly set to solve for the force using F = ma. This approach will yield the average force that could potentially cause injury.
Knfoster
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Homework Statement



A 70.4 kg man steps out of a window and falls (from rest) 1.33 m to a sidewalk. at is his speed just before his feet stke the pavement?

If the man falls with his knees and ankles locked, the only cushin for his fall is a 0.508 cm give in the pads of his feet. Calculate the erage force exerted on him bye ground in this situation. The avera force is sufficient to cause cartilage dage in the joints or to break bones.

Homework Equations



PE+KE=PE+KE (before and after)
W=F(xf-xi)cos theta
W=delta KE
PE=mgh
F=ma
KE=.5mv^2


The Attempt at a Solution



I already solved the first question and got 5.11 m/s.
I don't know how to set up the second problem to find the force.
Please help.
Thank you.
 
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I think they want you to calculate the force (acceleration) that will be required if the deceleration is over the space of just 1/2 cm (.508 cm).
 
ok. So F=ma, and I need to find acceleration to finish the problem. So Do I use Vf^2=Vi^2+2a(xf-xi) ? If so do I use 5.11 m/s for Vf and 0 m/s for Vo? Is xf=0 and xi=.508 cm?
 
Knfoster said:
ok. So F=ma, and I need to find acceleration to finish the problem. So Do I use Vf^2=Vi^2+2a(xf-xi) ? If so do I use 5.11 m/s for Vf and 0 m/s for Vo? Is xf=0 and xi=.508 cm?

Looks to me like what they are asking.
 
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