What Is the Acceleration Due to Gravity on Titania?

AI Thread Summary
The discussion focuses on calculating the acceleration due to gravity on Titania, Uranus's largest moon. The user initially misapplies the gravitational force equations, resulting in an incorrect value of 4.99E8 m/s^2, while the correct acceleration is 0.37 m/s^2. The user realizes that they should use the same formula for gravity as used for Earth, indicating a misunderstanding of the application of the equations. The conversation highlights the importance of correctly applying gravitational formulas to different celestial bodies. Ultimately, the user acknowledges their error in the calculations.
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Homework Statement



Titania, the largest moon of the planet Uranus, has 1/8 the radius of the Earth and 1/1700 the mass of the earth. a) What is the acceleration due to gravity at the surface of Titania? b) What is the average density of Titania?

Homework Equations



F_{g} = \frac{Gm_{E}m}{r^{2}}
F_{g} = ma

The Attempt at a Solution



I haven't looked at part b) yet because I use the above equations and I get 4.99E8 m/s^2, but the real answer is 0.37 m/s^2...not sure what I'm doing wrong. Am I even using the right equations?
 
Last edited:
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wait, never mind. it is asking for the gravity on that moon so I just use the same equation used to find gravity on the earth. Answer to my own question: yes, yes you are using the wrong equations.
 

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