Question

What velocity must a car with a mass of
1060 kg have in order to have the same mo-
mentum as a 2380 kg pickup truck traveling
at 27 m/s to the east?
Answer in units of m/s

Answer 1

Question 22834

Linear momentum is a mass of body, multiplied by velocity: $\vec{p} = m\vec{v}$ , $p = |p| = m|v| = mv$ . In order for car to have the same momentum, $p_1 = p_2$ , where $p_1$ is the momentum of the car, and $p_2$ is the momentum of the truck. Hence, $m_1v_1 = m_2v_2 \Rightarrow v_1 = \frac{m_2}{m_1} v_2 \approx 60,62 \, \text{m/s}$ .