Question

At what speed of a body of mass $1kg$ will have a kinetic energy of $1J$?

Answer 1

Step 1: Given Data

Mass (m) = $1kg$

Kinetic energy (K.E) = $1J$

Step 2: Formula used

$K.E=\frac{1}{2}m{v}^2$, where $v$ is the velocity.

Step 3: Finding the speed

$$\begin{gathered} 1J=\frac{1}{2}x1kgx{v}^2 \\ 1x2=v^2 \\ {v}^2=2 \\ v=\sqrt{2} \\ v=1.41m{s}^{-1} \end{gathered}$$

Hence, the speed of the body is $1.41m{s}^{-1}$.