Which of the following four objects has different kinetic energy?
A) An object of mass m moving with speed 4v
B) An object of mass 4m moving with speed 2v
C) An object of mass 16m moving with speed v
D) An object of mass 2m moving with speed 3v
E) None of these; all four objects have the same kinetic energy.

Question

Quizplus · Accepted Answer

The kinetic energy is given by the formula KE = 0.5 * m * v^2. Calculating for each:  A) KE = 0.5 * m * (4v)^2 = 8mv^2  B) KE = 0.5 * 4m * (2v)^2 = 8mv^2  C) KE = 0.5 * 16m * v^2 = 8mv^2  D) KE = 0.5 * 2m * (3v)^2 = 9mv^2  Thus, object D has a different kinetic energy.

Which of the Following Four Objects Has Different Kinetic Energy