An object with mass m and moment of inertia I is spinning with an angular momentum L.Its kinetic energy is: A)0.5I²/L. B)0.5L²/I. C)0.5L²/m. D)0.5I²/m.

Question

Quizplus · Accepted Answer

The kinetic energy of a rotating object is given by K = 0.5*I*w^2, where w is the angular velocity. The angular momentum is L = I*w, which we can rearrange to get w = L/I. Substituting this into the expression for K, we get K = 0.5*I*(L/I)^2 = 0.5*L^2/I. This corresponds to choice B.

An Object with Mass M and Moment of Inertia I