Find accel. of g on Saturns Moon.

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SUMMARY

The gravitational acceleration on Saturn's moon Titan can be calculated using the formula a = Gm/r², where G is the gravitational constant (6.67259e-11), m is the mass of Titan (1.35e23 kg), and r is the radius of Titan (2.57e3 m). The discussion highlights the importance of using the correct units, specifically converting kilometers to meters, to avoid inflated results. The gravitational acceleration on Titan is expected to be significantly smaller than the erroneous value of 1.35e6 m/s² calculated by the user, emphasizing the need for accurate unit conversion in gravitational calculations.

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  • Understanding of gravitational force and acceleration formulas
  • Familiarity with the gravitational constant (G)
  • Knowledge of unit conversion, particularly from kilometers to meters
  • Basic knowledge of celestial mechanics and planetary data
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  • Research the gravitational acceleration on other moons in the solar system
  • Learn about the properties and characteristics of Titan, including its mass and radius
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Lance WIlliam
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]1. Homework Statement [/b]

Calculate the gravitational acceleration at the surface of (a) Mercury and (b) Saturn's moon Titan?

Ive found A by using: F=GMm/r^2

a=Gm/r^2

But how do I find saturns moon titan...All i know is saturn mass which is 5.69e26 and radius6.03e7 of staurn, plus orbit radius 1.43e12

these are not given in the problem I have a chart with the main planets info.
I thought i could just use saturns radius plus orbitsal radius for "r" and use that...but it didnt work.
 
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Thankyou ,
but that does give me the Acceleration of G on the Titan.
example: Earth's its 9.81m/s^2
? m/s^2

What should I use for "r" Do I add saturns radius plus What..? Do I need the distance titan is from saturn?
 
You use the radius of Titan. I'd ignore Saturn unless you've been specifically told to include it.
 


ok I did

...G....mass of Titan.../Radius of titan(sq'ed)
a=((6.67259e-11)(1.35e23))/(2.57e3)^2

I get 1.35e6 which is way to big for m/s^2 accel.
 
You've left the radius in kilometers not meters.
 
SHouldnt accel. be a number like 3.5ms/^2 not (a number)e6 or 9 ...it should be a lot smaller?
 
it will be if you use the correct units for the radius.
 

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