What Is the Acceleration Due to Gravity on Titania?

In summary, Titania, the largest moon of Uranus, has 1/8 the radius and 1/1700 the mass of the Earth. To find the acceleration due to gravity at its surface, the equation F_g = (Gm_E*m)/r^2 can be used. The average density of Titania can be found using the equation F_g = ma. The correct answer for the acceleration due to gravity at the surface of Titania is 0.37 m/s^2, which can be determined using the correct equation.
  • #1
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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[itex]_{g}[/itex] = [itex]\frac{Gm_{E}m}{r^{2}}[/itex]
F[itex]_{g}[/itex] = 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?
 
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  • #2
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.
 

FAQ: What Is the Acceleration Due to Gravity on Titania?

What is the gravitational constant problem?

The gravitational constant problem refers to the discrepancy between the measured value of the gravitational constant, G, and the predicted value based on the current understanding of physics. This problem has been a topic of debate and research for decades.

What is the current measured value of the gravitational constant?

The current measured value of the gravitational constant is 6.67430(15) x 10^-11 m^3 kg^-1 s^-2. This value was determined by the CODATA (Committee on Data for Science and Technology) in 2018.

How does the gravitational constant affect our understanding of gravity?

The gravitational constant is a fundamental constant in physics that helps us understand the strength of the gravitational force between two objects. If the value of G were to change significantly, it would have a major impact on our understanding of how gravity works and could potentially lead to a revision of current theories.

What are some proposed solutions to the gravitational constant problem?

There are several proposed solutions to the gravitational constant problem, including the possibility of a varying gravitational constant, the existence of a fifth force of nature, and the need for a more comprehensive theory of gravity that can better explain its behavior.

Why is it important to accurately determine the value of the gravitational constant?

The value of the gravitational constant is crucial in many fields of science, including astrophysics, cosmology, and geophysics. It is also essential for technological advancements, such as space travel and satellite navigation. Accurately determining the value of G is crucial for our understanding of the universe and the development of new technologies.

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