College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 9 - Problems - Page 360: 5

Answer

The baby applies twice as much pressure to the floor, which is a difference of $52,000~N/m^2$

Work Step by Step

We can find the average pressure exerted on the floor by the baby's stool: $P = \frac{F}{A}$ $P = \frac{mg}{3\pi~r^2}$ $P = \frac{(10~kg)(9.80~m/s^2)}{(3)(\pi)(0.010~m)^2}$ $P = 104,000~N/m^2$ We can find the average pressure exerted on the floor by the adult's chair: $P = \frac{F}{A}$ $P = \frac{mg}{4\pi~r^2}$ $P = \frac{(60~kg)(9.80~m/s^2)}{(4)(\pi)(0.030~m)^2}$ $P = 52,000~N/m^2$ The baby applies twice as much pressure to the floor, which is a difference of $52,000~N/m^2$
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