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

22.4

Step-by-step explanation:

Acellus

Answer 2

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

Step-by-step 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
`(1)/(2)\cdot v`.

Therefore, the final momentum would be:

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