Question

A 19 kg child is riding a 5.6 kg bike with a

Answer 1

Answer:

$\mathrm{a.\:}123\:\mathrm{kg\cdot m/s},\\\mathrm{b.\:}95\:\mathrm{kg\cdot m/s},\\\mathrm{c.\:}28\:\mathrm{kg\cdot m/s}$

Explanation:

The momentum of an object is given by:

$p=mv$, where $m$ is the mass of the object and $v$ is the velocity of the object.

a)

The mass of the child and bike together is $19+5.6=24.6$ kilograms. Since they're moving at a velocity of 5.0 m/s, their momentum is:

$p=24.6\cdot 5=\fbox{ 123\:\mathrm{kg\cdot m/s} }$.

b)

The mass of the child is given as 19 kg. Since the child is on the bike moving at 5.0 m/s, it's implied the child is as well. Therefore, the momentum of the child is:

$p=19\cdot 5=\fbox{ 95\:\mathrm{kg\cdot m/s} }$.

c) The mass of the bike is given as 5.6 kg and it is moving at 5.0 m/s. Therefore, the momentum of the bike is:

<u />$p=5.6\cdot 5=\fbox{ 28\:\mathrm{kg\cdot m/s} }$<u />