Which of the following four objects has the least kinetic energy?
A) An object of mass m moving with speed 4v
B) An object of mass 3m moving with speed 2v
C) An object of mass 4m 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 (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity of the object. Calculating the kinetic energy for each option: A) KE = 1/2 m(4v)^2 = 8mv^2, B) KE = 1/2 (3m)(2v)^2 = 6mv^2, C) KE = 1/2 (4m)(v)^2 = 2mv^2, D) KE = 1/2 (2m)(3v)^2 = 9mv^2. Therefore, the object in option C has the least kinetic energy.

Which of the Following Four Objects Has the Least Kinetic