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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?

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

Answer :

The momentum is given by:

[tex]p=mv[/tex]

Then the momentum of the car is:

[tex]\begin{gathered} p=(1420)(1) \\ p=1420 \end{gathered}[/tex]

If the biker has the same momentum then:

[tex]\begin{gathered} 1420=(114)v \\ v=\frac{1420}{114} \\ v=12.46 \end{gathered}[/tex]

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

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