Question

A body of mass $4kg$ is moving with a velocity $v$. If the kinetic energy of the body is $32J$ then magnitude of $v$ is?

Answer 1

Step 1: Given data

Mass of body $=4kg,$

Kinetic energy $=32J$

Step 2: Formula

$$\begin{gathered} Kineticenergy=\frac{1}{2}\times mass\times {\left(velocity\right)}^2 \\ Velocity=\sqrt{\frac{2kineticenergy}{mass}} \end{gathered}$$

Step 3: Calculate velocity

Substitute the values in the above formula

$Velocity=\sqrt{\frac{2\times 32}{4}}=\sqrt{16}=4m/s$

Hence, the velocity of the body is $\mathbf{4}\mathbf{}\mathit{m}\mathbf{/}\mathit{s}\mathbf{.}$