Question

If the speed of an object doubles, its kinetic energy becomes

Answer 1

Step 1. Kinetic energy:

It may be defined as the energy, which a body possesses by virtue of its motion.

Speed:

Distance covered in a unit of time is known as speed. Generally, it is expressed in $\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$.

Step 2. Formula used:

Kinetic energy may be given by:

$KE=\frac{1}{2}m{v}^2$, where $m$= mass, $v$= speed.

Step 3. Calculations:

If we double the speed, $v\text{'}=2v$

Then, $KE\text{'}=\frac{1}{2}m{\left(2v\right)}^2=4\left[\frac{1}{2}m{v}^2\right]=4.KE$,

Hence, the kinetic energy will become $4$ times the initial kinetic energy.