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.

Asled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slidesa distance d1 down the slope and then covers the distance d2 alongthe horizontal terrain before stopping. find the coefficient ofkinetic friction μk between the sled and the ground, assumingthat it is constant throughout the trip. find the coefficient of kinetic frictionμk. express your answer in terms of someor all of the variables d1, d2, and θ.