Starting from rest, a 57.0 kg woman jumps down to the floor from a height of 0.800 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 and t 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.) N.S (b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.) m/s (c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.) m/s

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 84PQ
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Starting from rest, a 57.0 kg woman jumps down to the floor from a height of 0.800 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

Starting from rest, a 57.0 kg woman jumps down to the floor from a height of 0.800 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.)
(b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.)
m/s
(c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)
m/s
(d) To what height (in m) did she jump upon leaving the floor?
Transcribed Image Text:Starting from rest, a 57.0 kg woman jumps down to the floor from a height of 0.800 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.) (b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.) m/s (c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.) m/s (d) To what height (in m) did she jump upon leaving the floor?
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