How does the kinetic energy of a particle change if the particle's velocity is increased by a factor of 3?
A)kinetic energy increases by a factor of 3
B)kinetic energy decreases by a factor of 3
C)kinetic energy increases by a factor of 9
D)kinetic energy increases by a factor of 2

Question

Quizplus · Accepted Answer

The kinetic energy (KE) of a particle is given by the formula KE = 1/2 m v^2, where m is the mass and v is the velocity of the particle. If the velocity is increased by a factor of 3, the new kinetic energy becomes KE' = 1/2 m (3v)^2 = 9/2 m v^2, which means the kinetic energy increases by a factor of 9.

How Does the Kinetic Energy of a Particle Change If