A uniform marble rolls without slipping down the path shown in the figure , starting from rest.
A. Find the minimum height h required for the marble not to fall into the pit. Express your answer using two significant figures.
B. The moment of inertia of the marble depends on its radius. Explain why the answer to part (a) does not depend on the radius of the marble. Essay answers are limited to about 500 words (3800 characters maximum, including spaces).
C. Solve part (a) for a block that slides without friction instead of the rolling marble. Express your answer using two significant figures.
D. How does the minimum h in this case compare to the answer in part (a)? Express your answer using two significant figures.
