A cylinder (I = ½mR²)rolls along a level floor with a speed v.The work required to stop this cylinder is A)¼ mv² B)½ mv² C)¾ mv² D)mv² E)1.25mv²

Question

Quizplus · Accepted Answer

The total kinetic energy of the rolling cylinder is the sum of its translational and rotational kinetic energy: (1/2)mv^2 + (1/2)(1/2)mR^2(v/R)^2 = (3/4)mv^2. This is the work required to stop it.

A Cylinder (I = ½MR2)rolls Along a Level Floor with a Speed

A Cylinder (I = ½MR²)rolls Along a Level Floor with a Speed