How much work needs to be done, in order to increase the velocity of an object from 5 m/s to 25 m/s, if the mass of an object is 35kg?

$\mathrm{Work} \mathrm{Done} = \mathrm{Change} \mathrm{in} \mathrm{Kinetic} \mathrm{Energy} ({\mathrm{K}}_{\mathrm{f}} - {\mathrm{K}}_{\mathrm{i}})$

$\mathrm{W} = {\mathrm{K}}_{\mathrm{f}} - {\mathrm{K}}_{\mathrm{i}}$

$\mathrm{W} = \frac{1}{2} \mathrm{m} {{\mathrm{v}}_{\mathrm{f}}}^2 - \frac{1}{2} \mathrm{m} {{\mathrm{v}}_{\mathrm{i}}}^2$

$\mathrm{W} = \frac{1}{2} \mathrm{m} {({\mathrm{v}}_{\mathrm{f}}}^2 - {{\mathrm{v}}_{\mathrm{i}}}^2)$

$\mathrm{W} = \frac{1}{2} \times 35 \times {(25}^2 - 5^2)$

$\mathrm{W} = \frac{1}{2} \times 35 \times 600$

$\mathrm{W} = 35 \times 300$

$\mathrm{W} = 10500 \mathrm{J}$