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: 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

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Since \(K=\frac{1}{2}mv^{2}\), then \(K_{new} = 4K\)

Answer:

C. Quadrupled