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1. At what speed do a bicycle and its rider, with a combined mass of 100 kg, have thesame momentum as a 1500 kg car traveling at 5.0 m/s?

Answer :

We will ave the following:

First, we calculate the momentum of the car:

[tex]\rho=(1500\operatorname{kg})(5.0m/s)\Rightarrow\rho=7500kg\cdot m/s[/tex]

Now, we will determine the speed of the bike rider:

[tex]7500\operatorname{kg}\cdot m/s=100\operatorname{kg}\cdot v\Rightarrow v=\frac{7500\operatorname{kg}\cdot m/s}{100\operatorname{kg}}[/tex][tex]\Rightarrow v=75m/s[/tex]

So, the bike rider would have to be moving at 75 m/s. [About 270 km/h]

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