# What is the kinetic energy of an object with a mass of  16 kg that has been in freefall for  6 s?

Nov 1, 2016

${E}_{k} = 27715.9968 \text{ Joules}$

#### Explanation:

$v = g \cdot t$

$v : \text{velocity of object for t=6 }$

$g : \text{acceleration of gravity g=9.81 } \frac{m}{s} ^ 2$

$v = 9.81 \cdot 6 = 58.86 \text{ } \frac{m}{s}$

$\text{The kinetic energy of an object is calculated by :} {E}_{k} = \frac{1}{2} \cdot m \cdot {v}^{2}$

$m : \text{mass of object}$

$v : \text{velocity of object}$

${E}_{k} : \text{The kinetic energy of object}$

${E}_{k} = \frac{1}{\cancel{2}} \cdot \cancel{16} \cdot {\left(58.86\right)}^{2}$

${E}_{k} = 8 \cdot 3464.4996$

${E}_{k} = 27715.9968 \text{ Joules}$