Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 5 - Force and Motion - Exercises and Problems - Page 135: 16

Answer

a) $\approx 12.5\;\rm N$ b) $\approx 50\;\rm N$

Work Step by Step

a) We need to estimate the weight of a laptop by using the information given in Table 5.1, as the author told us. We are given 3 weights of objects in the table, a quarter, a pound, and a person. The closest weight to our laptop computer is the pound which weighs 5 newtons. I can guess that my laptop is about 2.5 pounds, so the weight of my laptop is $$W=2.5\times5=\color{red}{\bf 12.5}\;\rm N$$ b) We need to estimate the propulsion force of a bicycle by using the information given in Table 5.1, as the author told us. We are given a car's propulsion force, which is about 5000 N. An average car is about 1000 kg while a bicycle and its rider is about 100 kg, as a rough estimate as well. Now we can assume that the acceleration of the bicycle is one-tenth that of the car, so the propulsion of the bicycle is given by $$\dfrac{F_{bicycle}}{F_{car}}=\dfrac{m_{bicycle}a_{bicycle}}{m_{car}a_{car}}=\dfrac{100\cdot 0.1a_{car}}{1000a_{car}}=\dfrac{1}{100}$$ Thus, $$ {F_{bicycle}} =\dfrac{1}{100}F_{car}=\dfrac{5000\;\rm N}{100 } =\color{red}{\bf 50} \;\rm N$$
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