Question

An object has 22.4 kg•m/s of
momentum. If you double the mass,
and cut the velocity in half, how
much momentum would it have?
[?] kg•m/s

Answer 1

Answer:

$22.4\:\mathrm{kg\cdot m/s}$

Explanation:

Momentum is given by $p=mv$.

Let $p_1$ be the initial momentum of the object:

$p_1=m\cdot v=22.4$

If we doubled the mass, the new mass would be $2\cdot m$, and if we halved the velocity, the new velocity would be $\frac{1}{2}\cdot v$.

Therefore, the final momentum would be:

$p_f=2\cdot m\cdot \frac{1}{2}\cdot v=m\cdot v=\fbox{ 22.4\:\mathrm{kg\cdot m/s} }$..