Miranda, a satellite of Uranus, is shown in the figure. It can be modeled as a sphere of radius 242 km and mass 6.68 1019 kg. (Enter only the answers in the input boxes separately given.) (a) Find the free-fall acceleration on its surface. 1. ( Enter in box 1) m/s^2 (b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in the figure. 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.) (Enter only the answers in the input boxes separately given.) 2. ( Enter in box 2) s (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? 3. ( Enter in box 3) m (d) What is his vector impact velocity? 4. ( Enter in box 4) m/s and 5. ( Enter in box 5) degree below the horizontal

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.12P
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Uranus

Miranda, a satellite of Uranus, is shown in the figure. It can be modeled as a sphere of radius 242 km and mass 6.68 multiply.gif 1019 kg. (Enter only the answers in the input boxes separately given.)

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

1. ( Enter in box 1) m/s^2

(b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in the figure. 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.) (Enter only the answers in the input boxes separately given.)

2. ( Enter in box 2) s

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

3. ( Enter in box 3) m

(d) What is his vector impact velocity?

4. ( Enter in box 4) m/s and

5. ( Enter in box 5) degree below the horizontal

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