# Question #96843

Nov 9, 2015

Alternately, one could simply calculate the impulse knowing the force and how long it is applied. The impulse is equivalent to the total change in momentum.

$I = F t$

Impulse has units of Newton seconds.

$I = 6 \cdot 6 = 36 N s = 36 k g \frac{m}{s}$

We know that momentum is calculated from velocity as:
$P = m v$
So we can solve for the velocity.
$36 = 2 \cdot v$
$18 = v$

Using this velocity the kinetic energy can be calculated:
${E}_{k} = \frac{1}{2} m {v}^{2}$
${E}_{k} = \frac{1}{2} \cdot 2 \cdot {18}^{2}$
${E}_{k} = 324 k g {m}^{2} / {s}^{2}$