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 March 17th, 2010, 07:17 PM #1 Member   Joined: Jul 2009 Posts: 57 Thanks: 0 Finding the acceleration of two masses with gravity relati.. Title limit: Finding the acceleration of two masses with gravity relative to a fixed grid/or-point. Funny, as soon as I go to post this, I see a post by dedanoe stating errors about newton's G. If he is right, I may already be at fault. But here is what I did to find the force between to masses, A (m_1) 8kg, B (m_2) 4kg, at a distance of 2m: Code:  6.67 x 10^-11 m^3 G = ----------------- kg * s^2 m_1 * m_2 F = G * ------------- r^2 m_1 = 8kg m_2 = 4kg r = 2m Thus: [6.67 x 10^-11m^3] [8kg * 4kg] F = [----------------] * [---------] [ kg * s^2 ] [ (2m)^2 ] = [6.67 x 10^-11m^3] [ 32kg^2 ] F = [----------------] * [--------] [ kg * s^2 ] [ 4m^2 ] = [2.13 x 10^-9m^3 * kg^2] F = [----------------------] [ 4m^2 * kg * s^2 ] = [2.13 x 10^-9m^3 * kg^2] F = [----------------------] [ 4m^2 * kg * s^2 ] = [5.33 x 10^-10m^3 * kg^2] F = [-----------------------] [ m^2 * kg * s^2 ] = [5.33 x 10^-10m * kg] | [kg * m] [kg * m] F = [-------------------] | 1 N = 1 * [------] 5.33 x 10^-10 N = 0.000000000533 * [------] [ s^2 ] | [ s^2 ], [ s^2 ] If I have made no errors the force should be 5.33 x 10^-10 N. What I want to find now is the acceleration on each object unique to another fixed point at which defines their state. If a = f/m then it should be correct to say for mass A, that a = (5.33 x 10^-10 N)/8kg. But isn't this is the acceleration of mass A, (to the fixed point I just defined), as if B was fixed? How would I find out the acceleration of both objects? It would be correct to say that mass B will have greater acceleration than mass A. right? Thanks.
 March 18th, 2010, 05:41 PM #2 Member   Joined: Jul 2009 Posts: 57 Thanks: 0 Re: Finding the acceleration of two masses with gravity relati.. Never mind. I was doing it wrong. Just found this: http://www-istp.gsfc.nasa.gov/stargaze/Sgravity.htm Helped me out a bit. I was doing it separately. Being that F = ma, and G(m m2)/r^2 = F; m G(m2)/r^2 = ma = G(m2)/r^2 = a, ("a" usually as "g".) Which allowed me to find the earths acceleration to be ~9.81[...]m/s^2. Thanks.

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