My teammate Jen was recently on the show "Ridiculousness" for a nasty fall she took a couple years ago. I decided to calculate the force that Jen felt as she was put to a stop by the metal table.

http://www.youtube.com/watch?v=DBvSuHv3dKU

I'm going to assume that as Jen jumps horizontally, she is an ideal projectile object. Then I'm going to assume that she is moving at a constant velocity after she lands and that the concrete was a frictionless surface.

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I'm assuming that Jen was running at 3.6 m/s before she jumped, and the only force of acceleration acting on her is gravity (9.8 m/s^2).

initial velocity (x)= 3.6m/s

initial velocity (y) = 0 m/s

acceleration (x) = 0 m/s^2

acceleration (y) = 9.8 m/s^2

t = 2 s

final velocity (x) = 3.6m/s (no acceleration in x direction)

final velocity (y)= 0m/s + (9.8 m/s^2)(2 s)

final velocity (y) = 19.6 m/s

final velocity^2 = (19.6 m/s)^2 + (3.6 m/s)^2

final velocity when she hits the ground = 19.9 m/s

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She was then stopped by the table in what appears to be 2 feet (.6 m). I will also assume she has a mass of 52 kg.

(1/2)(m)(vinitial)^2 + Wnc = (1/2)(m)(vfinal)^2

(1/2)(52 kg)(19.9m/s)^2 + Wnc = (1/2)(52 kg)(0m/s)^2

Wnc = 10,296 J

The table exhorted 10,296 J of work to bring Jen to a stop. Using Work = (Force)(distance), we can determine that the force Jen felt from the table was..

10,296 = F (.6m)

F = 6177.6 N

Sounds painful.. no wonder she made it on TV.

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