June 17th, 2013, 09:24 PM  #1 
Newbie Joined: Jun 2013 Posts: 13 Thanks: 0  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 
June 17th, 2013, 10:17 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  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/m³: 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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