# Chapter 11 - Impulse and Momentum - Exercises and Problems - Page 286: 1

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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