A body of mass 5kg is moving with a momentum of 10kgm s ^ - 1 . Now...

The formula to calculate the change on momentum of the object is given by

${p}_{f} - {p}_{i} = ∫ Fdt . . . \left(1\right)</p><p>Substitute$ the values of the known parameters into equation (1) and solve to calculate the final momentum of the object.

$\begin{cases}{p}_{f} - 10kgm{s}^{- 1} & = & 2N \times 5s \\ & ⇒ & {p}_{f} = \left(10 + 10\right)kgm{s}^{- 1} \\ & = & 20kgm{s}^{- 1}\end{cases}</p><p>The formula to$calculate increase in kinetic energy \left(∆ K\right)$of the particle is given by$

$∆ K =$\dfrac{1}{2m}\left({{p}_{f}}^{2} - {{p}_{i}}^{2}\right) . . . \left(2\right)

Substitute$the values of the known parameters into equation (2) to calculate the required increase in kinetic energy.</p><p>$\begin{cases}∆ K & = & \dfrac{1}{2 \times 5kg} \times \left({20}^{2} - {10}^{2}\right){kg}^{2}{m}^{2}{s}^{- 2} \\ & = & 30J\end{cases}