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=(1420)/(114) \\ v=12.46 \end{gathered}`

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