Question

The kinetic energy of an object is $K$. If its velocity is doubled then its kinetic energy will be ..................

• A. $K$
• B. $2K$
• C. $4K$
• D. $\frac{K}{4}$

Answer 1

Answer: (C)

$4K$

Kinetic energy $=\frac{1}{2}m{v}^2$

Where we have taken v as velocity.

If we replace v with 2v, we have:

Kinetic energy (new) $=\frac{1}{2}m(2v{)}^2=\frac{1}{2}4(m{v}^2)$

$⟹4K$