Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 4 - Dynamics: Newton's Laws of Motion - Problems - Page 102: 27

Answer

The ratio of $F_{T1}$ to $F_{T2}$ is 2.

Work Step by Step

For acceleration a, $F_{T1}$ causes the system of Car 1 + Car 2 to accelerate. Therefore $F_{T1} = 2ma$ , where m is the mass of each car. For acceleration a, $F_{T2}$ causes the system of Car 2 to accelerate. Therefore $F_{T2} = ma$ , where m is the mass of Car 2. $F_{T1} = 2ma$ $F_{T2} = ma$ $\frac{F_{T1}}{F_{T2}} = \frac{2ma}{ma}$ $\frac{F_{T1}}{F_{T2}} = 2$ The ratio of $F_{T1}$ to $F_{T2}$ is 2.
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