If both the mass and the velocity of a ball are tripled, the kinetic energy is increased by a factor of
A) 6.
B) 9.
C) 18.
D) 81.
E) 27.

Question

Quizplus · Accepted Answer

The kinetic energy is given by the formula KE = 1/2 mv^2. If both mass (m) and velocity (v) are tripled, the new kinetic energy becomes 1/2 (3m)(3v)^2 = 1/2 (3m)(9v^2) = 27 * (1/2 mv^2), which is 27 times the original kinetic energy.

If Both the Mass and the Velocity of a Ball