Starting from rest, a 63.0 kg woman jumps down to the floor from a height of 0.570 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?
Starting from rest, a 63.0 kg woman jumps down to the floor from a height of 0.570 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?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 29P
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