# Which has more momentum, a 7kg object moving at 8m/s or a 4kg object moving at 9m/s?

Nov 19, 2016

The object having a 7kg mass moving with 8m/s velocity has more momentum.

#### Explanation:

Linear momentum is defined as the product of the mass and velocity of the object.
$p = m v$.

Consider the object which has a mass 7kg and velocity 8m/s with linear momentum '${p}_{1}$' and the other one with 4kg and 9m/s as '${p}_{2}$'.

Now calculate the '${p}_{1}$' and '${p}_{2}$' with above equation and given numericals we get,
${p}_{1} = {m}_{1} {v}_{1} = \left(7 k g\right) \left(8 m / s\right) = 56 k g m / s$ and
${p}_{2} = {m}_{2} {v}_{2} = \left(4 k g\right) \left(9 m / s\right) = 36 k g m / s$.
$\therefore {p}_{1} > {p}_{2}$