Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 4 - Exercises and Problems - Page 69: 63

Answer

The proof is below.

Work Step by Step

Using product rule, we find: $F=\frac{d(mv)}{dt}$ $F = m \frac{dv}{dt}+v\frac{dm}{dt}$ We know that $a=\frac{dv}{dt}$, so it follows: $F = ma+v\frac{dm}{dt}$
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