Miranda, a satellite of Uranus, is shown in part a of the figurebelow. It can be

Question

Miranda, a satellite of Uranus, is shown in part a of the figurebelow. It can be modeled as a sphere of radius 242 km and mass 6.68 X 10^19 kg (a) Find the free-fall acceleration on itssurface. (b) A cliff on Miranda is 5.00 km high. It appears on the limb atthe 11 o'clock position in part a of the figure above and ismagnified in part b of the figure above. A devotee of extremesports runs horizontally off the top of the cliff at 5.90 m/s. For what time interval is he in flight? 362.5 (c) How far from the base of the vertical cliff does he strike theicy surface of Miranda? 3 2136 .75 (d) What is his vectorimpact velocity? 428.20 m/s below the horizontal

Explanation / Answer

from a) g = 0.0761 m/s2 from b) t = 363 s d) vx = 5.90 m/s vy = gt = 27.6 m/s = tan-1(vy/vx) =77.9o

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