A solid sphere, a hoop, and a solid disk. all with equal masses and radii, roll at the same translational speed along a horizontal surface toward a ramp inclined at a 30 degree angle. Which of the three will make it furthest up the ramp before it stops and begins to roll back down? Justify your answer, either with words or calculations.
Would the formula for all three be mg*dsin(theta)=(1/2)mv ?