An inclined plane makes an angle theta = 30° with the horizontal, as shown above. A solid sphere of radius R = 0.20 m and mass M = 1.8 kg is initially at rest in the position shown, such that the lowest point of the sphere is a vertical height h = 5 m above the base of the plane. The sphere is released and rolls down the plane without slipping. The moment of inertia of the sphere about an axis through its center is 2/5 MR 2. Determine the following for the sphere when it is at the bottom of the plane: i. Its linear velocity, ts translational kinetic energy, and Its rotational kinetic energy

16. a brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 n on him. the mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20m/s2 size 12{1 "." "20"" m/s" rsup { size 8{2} } } {} backward. (a) what is the force of friction between the losing player’s feet and the grass? (b) what force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) draw a sketch of the situation showing the system of interest used to solve each part. for this situation, draw a free-body diagram and write the net force equation.