Explain the importance of the roche limit and the role of differential gravitational forces on loosely bound objects on the surface of a smaller body in the presence of a larger central planet or star. also explain how the structural strength of objects is relevant to the discussion about the roche limit.

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.