Starting from rest, a 69.0 kg woman jumps down to the floor from a height of 0.640 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 (d) To what height (in m) did she jump upon leaving the floor? m
Starting from rest, a 69.0 kg woman jumps down to the floor from a height of 0.640 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 (d) To what height (in m) did she jump upon leaving the floor? m
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Starting from rest, a 69.0 kg woman jumps down to the floor from a height of 0.640 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval \(0 < t < 0.800 \, \text{s}\), the force she exerts on the floor can be modeled using the function
\[ F = 9,200t - 11,500t^2 \]
where \( F \) is in newtons and \( t \) is in seconds.
(a) What impulse (in \(\text{N} \cdot \text{s}\)) did the woman receive from the floor? (Enter the magnitude. Round your answer to at least three significant figures.)
\[ \boxed{\text{N} \cdot \text{s}} \]
(b) With what speed (in \(\text{m/s}\)) did she reach the floor? (Round your answer to at least three significant figures.)
\[ \boxed{\text{m/s}} \]
(c) With what speed (in \(\text{m/s}\)) did she leave it? (Round your answer to at least three significant figures.)
\[ \boxed{\text{m/s}} \]
(d) To what height (in \(\text{m}\)) did she jump upon leaving the floor?
\[ \boxed{\text{m}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4dca08d-d7c1-4511-81d7-e3b17171b463%2F8383d8ce-ee7e-4d2f-bc7f-7f75c3ae5158%2F14a4oaq_processed.png&w=3840&q=75)
Transcribed Image Text:Starting from rest, a 69.0 kg woman jumps down to the floor from a height of 0.640 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval \(0 < t < 0.800 \, \text{s}\), the force she exerts on the floor can be modeled using the function
\[ F = 9,200t - 11,500t^2 \]
where \( F \) is in newtons and \( t \) is in seconds.
(a) What impulse (in \(\text{N} \cdot \text{s}\)) did the woman receive from the floor? (Enter the magnitude. Round your answer to at least three significant figures.)
\[ \boxed{\text{N} \cdot \text{s}} \]
(b) With what speed (in \(\text{m/s}\)) did she reach the floor? (Round your answer to at least three significant figures.)
\[ \boxed{\text{m/s}} \]
(c) With what speed (in \(\text{m/s}\)) did she leave it? (Round your answer to at least three significant figures.)
\[ \boxed{\text{m/s}} \]
(d) To what height (in \(\text{m}\)) did she jump upon leaving the floor?
\[ \boxed{\text{m}} \]
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