Question

Miranda, a satellite of Uranus. 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.

(b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position. A devotee of extreme sports runs horizontally off the top of the cliff at 6.00 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.)

(c) How far from the base of the vertical cliff does he strike the icy surface of Miranda?

(d) What is his vector impact velocity? (m/s and degree below the horizontal?)

Answer 1