# If an object with a mass of 5 kg  changes speed from 5m/s to 16 m/s, by how much does its kinetic energy change?

Dec 25, 2015

I found $577.5 N$

#### Explanation:

You can consider that kinetic energy $K$ is given as:
$K = \frac{1}{2} m {v}^{2}$
$\Delta K = {K}_{f} - {K}_{i} = \frac{1}{2} m {v}_{f}^{2} - \frac{1}{2} m {v}_{i}^{2} =$
$\Delta K = \frac{1}{2} m \left({v}_{f}^{2} - {v}_{i}^{2}\right) = \frac{1}{2} \cdot 5 \left({16}^{2} - {5}^{2}\right) = \frac{5}{2} \left(256 - 25\right) = 577.5 N$