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 x 101⁹ kg. (a) Find the free-fall acceleration on its surface. 0.076 ✔ 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 5.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.) 362.74 ✔ S (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? 1995.06 ✔ m (d) What is his vector impact velocity? 27.8 ✔m/s 28.11 x Your response differs from the correct answer by more than 10%. Double check your calculations. below the horizontal

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 x 101⁹ kg. (a) Find the free-fall acceleration on its surface. 0.076 ✔ 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 5.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.) 362.74 ✔ S (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? 1995.06 ✔ m (d) What is his vector impact velocity? 27.8 ✔m/s 28.11 x Your response differs from the correct answer by more than 10%. Double check your calculations. below the horizontal

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 9P

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Miranda, a satellite of Uranus, is as shown. 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 as shown and is magnified as shown. If 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? (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? (d) What will be his vector impact velocity?
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