# What is the kinetic energy of a 8 kg object moving at 5/2 m/s?

Jun 3, 2016

kinetic energy: $10 J$

#### Explanation:

The kinetic energy of an object can be calculated with the formula:

$\textcolor{b l u e}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{E}_{k} = \frac{1}{2} m {v}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\underline{\text{where}}$:
${E}_{k} =$kinetic energy
$m =$mass
$v =$velocity

To find the kinetic energy, substitute your known values into the formula.

${E}_{k} = \frac{1}{2} m {v}^{2}$

${E}_{k} = \frac{1}{2} \left(8 k g\right) \left(\frac{5}{2} \frac{m}{s}\right)$

${E}_{k} = \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} 10 J \textcolor{w h i t e}{\frac{a}{a}} |}}}$