If a green ball has a greater momentum than an orange ball and both balls are moving at the same velocity, then.

Question

zephyr141 · Answer

momentum is $$p=mv$$ momentum is p. so if one has greater momentum than the other but they are traveling at the same velocity then there's only one other variable that can change.

michele_laino · Answer

I write the momentum of the green ball as below:
$${p_G} = {m_G}{v_0}$$
and the momentum of the orange ball:
$${p_O} = {m_O}{v_0}$$
where $m_G,m_O$ are the masses of the two balls respectively, and $v_0$ is the common speed.
Now I take the ration between the two equation above, and I write:
$$\frac{{{p_G}}}{{{p_O}}} = \frac{{{m_G}{v_0}}}{{{m_O}{v_0}}} = \frac{{{m_G}}}{{{m_O}}} > 1$$
being, by hypothesis $p_G>p_O$, so its ratio is greater than $ 1$