Question

At which velocity (in m/s) does a bike rider, with a combined mass of 114 kg, have the same momentum as a 1,420 kg car traveling at 1 m/s?

Answer 1

The momentum is given by:

$p=mv$

Then the momentum of the car is:

$\begin{gathered} p=(1420)(1) \\ p=1420 \end{gathered}$

If the biker has the same momentum then:

$\begin{gathered} 1420=(114)v \\ v=\frac{1420}{114} \\ v=12.46 \end{gathered}$

Therefore the velocity of the biker is 12.46 m/s (rounded to two decimals)