---### Study Problems on Miranda, a Satellite of Uranus---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.![Image of Miranda](miranda.jpeg)#### (a) Find the free-fall acceleration on its surface.\[ g = 0.076 \, \text{m/s}^2 \] ![Correct](correct.png)#### (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 3.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.)\[ t = 362.74 \, \text{s} \] ![Correct](correct.png)#### (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda?\[ d = 1995.06 \, \text{m} \] ![Correct](correct.png)#### (d) What is his vector impact velocity?\[ \text{Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.} \]\[ |\mathbf{v}| = \, \text{m/s} \] ![Incorrect](incorrect.png)\[ \text{Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.} \]![Incorrect](incorrect.png)---#### Need Help?Click [here](help_link.com) for more assistance.---*Note: The images show the surface of Miranda in two magnifications.*

Given: The mass of Miranda: M = 6.68 x 1019 kg. The radius of Miranda: R = 242 km.

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) Ⓡ (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 (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? 1 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s 1 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. 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) Ⓡ (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 (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? 1 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s 1 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. below the horizontal

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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### Study Problems on Miranda, a Satellite of Uranus

---

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.

![Image of Miranda](miranda.jpeg)

#### (a) Find the free-fall acceleration on its surface.
\[ g = 0.076 \, \text{m/s}^2 \]
![Correct](correct.png)
#### (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 3.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.)
\[ t = 362.74 \, \text{s} \]
![Correct](correct.png)

#### (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda?
\[ d = 1995.06 \, \text{m} \]
![Correct](correct.png)

#### (d) What is his vector impact velocity?
\[ \text{Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.} \]
\[ |\mathbf{v}| = \, \text{m/s} \]
![Incorrect](incorrect.png)
\[ \text{Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.} \]
![Incorrect](incorrect.png)

---

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Click [here](help_link.com) for more assistance.

---

*Note: The images show the surface of Miranda in two magnifications.*

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