A cylinder with a mass of 10.0 kg rolls on a rough surface without slipping. At any moment the center of gravity has a speed of 10.0 m / s. (a Find the translational kinetic energy of the center of gravity. (b) Find the rotational kinetic energy about the axis of the center of gravity. (c) Find the total kinetic energy.

Adielectric-filled parallel-plate capacitor has plate area a = 30.0 cm2 , plate separation d = 9.00 mm and dielectric constant k = 3.00. the capacitor is connected to a battery that creates a constant voltage v = 15.0 v . throughout the problem, use ϵ0 = 8.85x10-12 c2/n. m2 . find the energy u1 of the dielectric-filled capacitor.