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A Princeton prof. (mass = 68.0 kg), surprised by the large stopping force he cal

ID: 1261673 • Letter: A

Question

A Princeton prof. (mass = 68.0 kg), surprised by the large stopping force he calculates for jumping flat footed from a height of 0.15 m, decides to try the experiment. Calculate he deceleration (in g's) if he stops in a distance of 0.57 cm.

Hint: Work (=Force times distance along the force) is the energy that has to be spent to exactly counter the kinetic energy gained through the free fall Equate the work done by gravity with the work while decelerating then find the deceleration. The prof. ended up limping for the rest of the week, having tried this from an even smaller heigh

Explanation / Answer

He falls 0.15 m and stops in .0057 m. His deceleration in G's is 0.15/0.0057 = 26.315 G (his experienced acceleration will be 1 G greater).

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