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Miranda, a satellite of Uranus, is shown in part a of the figure below. It can b

ID: 2280015 • Letter: M

Question

Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a sphere of radius 242 km and mass 6.68 1019 kg.

(a) Find the free-fall acceleration on its surface. (m/s2)

(b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in part a of the figure above and is magnified in part b of the figure above. A devotee of extreme sports runs horizontally off the top of the cliff at 8.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.) (s)

(c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? m (d) What is his vector impact velocity? (m/s ° below the horizontal)

Explanation / Answer

The angle is:


? = tan?