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 the cylinder.

A Cylinder I = ½MR2) Rolls Along a Level Floor

A Cylinder I = ½MR²) Rolls Along a Level Floor