(Solved): [15 points] A uniform, solid sphere is released from the top of a ramp that is at a height \( h_{1} ...

[15 points] A uniform, solid sphere is released from the top of a ramp that is at a height \( h_{1}=2.30 \mathrm{~m} \). It rolls down the ramp without slipping. The bottom of the ramp is at a height of \( h_{2}=1.97 \mathrm{~m} \) above the floor. Assume the ramp has a short horizontal section from which the ball leaves the table, so that it is launched perfectly horizontal before falling to land on the floor. The diameter of the ball is \( 0.130 \mathrm{~m} \). Ignore air resistance. (a) [12 points] How many full revolutions does the ball make during its fall? [3 points] If the ball was replaced with an ice-cube of equal mass and released from the same height, which of the two objects would travel a farther horizontal distance \( \mathrm{d} \) before landing? Explain your reasoning.