if the velocity of an object is doubled, then what will happen to its kinetic energy?\na doubled\nb…
if the velocity of an object is doubled, then what will happen to its kinetic energy?\na doubled\nb tripled\nc quadrupled\nd halved
Answer
Explanation:
Step1: Write the formula for kinetic energy
The formula for kinetic energy is (K = \frac{1}{2}mv^{2}), where (m) is the mass of the object and (v) is its velocity.
Step2: Substitute the new velocity
If the velocity is doubled, the new velocity (v_{new}=2v). The new kinetic energy (K_{new}=\frac{1}{2}m(2v)^{2}).
Step3: Simplify the new kinetic energy formula
[ \begin{align*} K_{new}&=\frac{1}{2}m\times4v^{2}\ & = 4\times\frac{1}{2}mv^{2}\ \end{align*} ] Since (K=\frac{1}{2}mv^{2}), then (K_{new} = 4K)
Answer:
C. Quadrupled