A hollow sphere is rolling without slipping across the floor at a speed of 5.7 m/s when it starts up a plane inclined at 40° to the horizontal. (a) How far along the plane (in m) does the sphere travel before coming to a rest?
(b) How much time elapses (in s) while the sphere moves up the plane? S
(c) Explain these results as compared to those for a marble (solid sphere).
i. The hollow sphere has a larger moment of inertia and therefore is easier to bring to rest than the marble (solid sphere). The distance traveled is smaller, and the time elapsed is shorter.
ii. The hollow sphere has a larger moment of inertia and therefore is easier to bring to rest than the marble (solid sphere). The distance traveled is smaller, and the time elapsed is longer.
iii. The hollow sphere has a larger moment of inertia and therefore is harder to bring to rest than the marble (solid sphere). The distance traveled is larger, and the time elapsed is shorter.
iv. The hollow sphere has a larger moment of inertia and therefore is harder to bring to rest than the marble (solid sphere). The distance traveled is larger, and the time elapsed is longer.