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June 17th, 2013, 09:24 PM   #1
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Acceleration Due to Gravity

Determine the value of g on earth, the radius of the earth is given by 6000 Km and the density 7.5 g/cc.
The value of
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June 17th, 2013, 10:17 PM   #2
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Re: Acceleration Due to Gravity

Use Newton's law of gravity:



Now, on the left side use Newton's 2nd law of motion:



Divide through by :



Now, what you need to do is determine the mass of the Earth, using the radius (assume it is a sphere) and the given mass density):



and we now have:



Next, convert to kg/m:



Now, plugging in the data (your value of G is ten times too large), we find:



If we use more accurate data, we find:

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