Answered: Starting from rest, a 59.0 kg woman…

Starting from rest, a 59.0 kg woman jumps down to the floor from a height of 0.780 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval 0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 86PQ

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Question

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Starting from rest, a 59.0 kg woman jumps down to the floor from a height of 0.780 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval
0 <t < 0.800 s, the force she exerts on the floor can be modeled using the function
F = 9,200t – 11,500t2
where F is in newtons andt is in seconds.
(a) What impulse (in N· s) did the woman receive from the floor? (Enter the magnitude. Round your answer to at least three significant figures.)
901.33
Integrate the given force to find the impulse, with the limits of integration from 0 to 0.800 s. N· s
(b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.)
3.91
m/s
(c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)
12.722
It seems you did not take the impulse due to gravity into account. Note that both gravity and the floor impart the impulse to the woman, so both terms need to be included in your equation. m/s
(d) To what height (in m) did she jump upon leaving the floor?

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