Question

A 1000 kg car is moving south with a speed of 20 m/s. How fast would a 100 kg bicyclist have to travel in order to have the same momentum??

Answer 1

The velocity of the bicyclist must be 200 m/s

Explanation:

The momentum of an object is given by:

p = mv

where

m is the mass of the object

v is its velocity

For the car in the problem, we have

m = 1000 kg

v = 20 m/s

So its momentum is

$p=(1000)(20)=20,000 kg m/s$

We want the bicyclist to have the same momentum, so

p = m'v'

where

m' = 100 kg is the mass of the bicyclist

p = 20,000 kg m/s is the momentum

And solving for v', we find his velocity:

$v'=\frac{p}{m'}=\frac{20,000}{100}=200m/s$

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