How Do I Calculate the Gravity on Saturn with its Given Radius and Mass?

AI Thread Summary
To calculate the gravity on Saturn, use the formula Fg = Gm1m2 / r^2, where G is the gravitational constant, m1 is Saturn's mass, and r is its radius. The acceleration due to gravity (g) can be derived from this equation by rearranging it to solve for g. A comparison of weight on Saturn versus Earth can be made by dividing Saturn's gravity by Earth's gravity of 9.81 m/s². The discussion highlights the challenge of understanding the problem due to language barriers and late class attendance. Overall, the user is encouraged to apply the gravitational formula to find the solution.
HodaM
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I have got this word problem and I tried to solve but could not find the exact answer and I need the way to do it because my upcoming test has similar problems to it,,


Homework Statement


Saturnn has an equatorial radius of 6.00 * 107m and a mass of 5.67 * 1026Kg. Calculate the following:
a) the acceleration due to gravity of Saturn.
b) how many times greater is a person's weight on Saturn compared to that on Earth?


Homework Equations


F= mg
Fg= Gm1m2 / r2


The Attempt at a Solution


I don't know where to start from because I am used to solve similar problems starting with the acceleration due to gravity which is known to be 9.81m/s2, but this only applies for Earth gravity and I don't know how to start solving this problem


Thank you for any help
 
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Well, you can use your second equation to derive a g for Saturn, can't you?
 
I guess so , the problem is that is joined the class late, and English is not my first language
but I will try my best


Thank you
 
HodaM said:
I guess so , the problem is that is joined the class late, and English is not my first language
but I will try my best


Thank you

Sorry, my comment wasn't meant to come across as being abrupt. Perhaps I should rephrase it: how can you write your second equation so as to derive a 'g' for Saturn from it?
 
cristo said:
Sorry, my comment wasn't meant to come across as being abrupt. Perhaps I should rephrase it: how can you write your second equation so as to derive a 'g' for Saturn from it?

Don't worry

I will try doing it and I understand it better now

Thank you very much
 
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