Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 11 - Impulse and Momentum - Exercises and Problems: 1

Answer

The bicycle and the car have the same momentum when the bicycle is moving at a speed of 75 m/s

Work Step by Step

In general, the momentum is $p = mv$. We can equate the momentum of the bicycle and the momentum of the car to find the required speed $v$ of the bicycle; $p_{cyclist} = p_{car}$ $(100~kg)~v = (1500~kg)(5.0~m/s)$ $v = \frac{(1500~kg)(5.0~m/s)}{100~kg}$ $v = 75~m/s$ The bicycle and the car have the same momentum when the bicycle is moving at a speed of 75 m/s.
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