A solid cylinder of mass 1 kg and radius 5 cm is rolling without slipping on a horizontal surface.Its linear velocity is 0.2 m/s.What is its total kinetic energy?
A)0.03 J
B)0.02 J
C)0.01 J
D)0.2 J
E)2 J

Question

Quizplus · Accepted Answer

The total kinetic energy of a rolling object is the sum of its translational and rotational kinetic energies. For a solid cylinder, the moment of inertia I = (1/2)mr². The translational kinetic energy is (1/2)mv² and the rotational kinetic energy is (1/2)Iω². Since it rolls without slipping, v = ωr. Substituting the values, the total kinetic energy is 0.03 J.

A Solid Cylinder of Mass 1 Kg and Radius 5