Question

how much is the mass of a ball that is rolling down down a ramp at 4.6m/s, with a momentum of 3.22 kg-m/s?

Answer 1

`0.70\; {\rm kg}`.

Step-by-step explanation:

If an object of mass
`m` is travelling at a velocity of
`v`, the momentum
`p` of that object would be
`p = m\, v`.

In this question, both momentum
`p` and velocity
`v` are given, and mass
`m` needs to be found. Hence, rearrange the equation
`p = m\, v` and solve for
`m\!`:

`\begin{aligned} m &= (p)/(v) \\ &= \frac{3.22\; {\rm kg \cdot m \cdot s^(-1)}}{4.6\; {\rm m\cdot s^(-1)}} \\ &= 0.70\; {\rm kg}\end{aligned}`.

Therefore, the mass of this ball would be
`0.70\; {\rm kg}`.