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. 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.) S (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? m (d) What is his vector impact velocity? m/s below the horizontal Read It Need Help?
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. 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.) S (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? m (d) What is his vector impact velocity? m/s below the horizontal Read It Need Help?
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*Part (a) and part (b) of the Figure: Two images of Miranda, showcasing the surface and topography.*
#### (a) Find the free-fall acceleration on its surface.
\[ \boxed{ \text{m/s}^2 } \]
#### (b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in 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.)
\[ \boxed{ \text{s} } \]
#### (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda?
\[ \boxed{ \text{m} } \]
#### (d) What is his vector impact velocity?
\[ \boxed{ \text{m/s} } \]
\[ \boxed{ \text{° below the horizontal} } \]
### Need Help?
Click the button below for additional resources:
\[ \boxed{Read \, It} \]
### Explanation of Graphs and Diagrams:
Two images of Miranda are provided, showcasing the satellite's surface and topographic features. Part (a) is a zoomed-out view showing the entire sphere, while part (b) is a magnified section of the cliff mentioned in the problem. Together, these visuals aid in understanding the positional context and the physical features referenced in the questions.
For a detailed breakdown of the calculations and additional information, please refer to the resources provided by clicking on the 'Read It' button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c5e517d-57db-4b65-baa5-8a292d97b7f5%2F572818f1-321d-44ae-8ebe-0ba6e52d4613%2F8q5x1l_processed.png&w=3840&q=75)
Transcribed Image Text:### Study Problem: Kinematics on Miranda
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 10^19 kg.
*Part (a) and part (b) of the Figure: Two images of Miranda, showcasing the surface and topography.*
#### (a) Find the free-fall acceleration on its surface.
\[ \boxed{ \text{m/s}^2 } \]
#### (b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in 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.)
\[ \boxed{ \text{s} } \]
#### (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda?
\[ \boxed{ \text{m} } \]
#### (d) What is his vector impact velocity?
\[ \boxed{ \text{m/s} } \]
\[ \boxed{ \text{° below the horizontal} } \]
### Need Help?
Click the button below for additional resources:
\[ \boxed{Read \, It} \]
### Explanation of Graphs and Diagrams:
Two images of Miranda are provided, showcasing the satellite's surface and topographic features. Part (a) is a zoomed-out view showing the entire sphere, while part (b) is a magnified section of the cliff mentioned in the problem. Together, these visuals aid in understanding the positional context and the physical features referenced in the questions.
For a detailed breakdown of the calculations and additional information, please refer to the resources provided by clicking on the 'Read It' button.
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