Question

By how much does the kinetic energy of a particle increase if the velocity is increased by a factor of three?

• A. $6$
• B. $7$
• C. $8$
• D. $9$

Answer 1

The correct option is D $9$

K.E =$\frac{1}{2}$mv${}^2$

Hence kinetic energy is directly proportional to the square of the velocity. Thus if we increase the kinetic energy by 3 times its velocity will be increased by 9 times.