Question

if the velocity of an object is doubled, then what will happen to its kinetic energy?
a doubled
b tripled
c quadrupled
d halved

Explanation:

Step1: Recall Kinetic Energy Formula

The formula for kinetic energy (KE) is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity.

Step2: Analyze Effect of Doubling Velocity

Let initial velocity be $v_1 = v$, so initial KE is $KE_1 = \frac{1}{2}mv^2$. If velocity is doubled, new velocity $v_2 = 2v$. New KE is $KE_2 = \frac{1}{2}m(2v)^2 = \frac{1}{2}m(4v^2) = 4\times(\frac{1}{2}mv^2) = 4KE_1$. So KE is quadrupled.

Answer:

c. Quadrupled