Balls exerting gravitational force on eachother

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SUMMARY

The gravitational force between two balls, each with a mass of 0.790 kg, is calculated to be 8.39 x 10^-11 N using the universal gravitational constant of 6.673 x 10^-11 N m²/kg². The initial calculation for the distance between the balls resulted in 1.42 m, which was identified as incorrect due to improper isolation of r² in the equation. The correct approach requires flipping the equation to solve for r² accurately, leading to the correct distance calculation.

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Axl Rose
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Homework Statement



Two balls, each with a mass of 0.790 kg, exert a gravitational force of 8.39 x 10^-11 N on each other. How far apart are the balls? The value of the universal gravitational constant is 6.673 x 10^-11 N m^2/kg^2. Answer in units of m.

Homework Equations


F = (G * m1 * m2) / r²

The Attempt at a Solution



8.39 * 10^-11 = (6.673 * 10^-11 * 0.79 * 0.79) / r²
r² = 2.0145899
r = 1.42m

The physics program that I am using says 1.42 m is incorrect. I have checked my work, but I still get 1.42 m. Help?

edit: Sorry, I messed up the topic title :(
 
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r² = 2.0145899
This isn't quite right. You haven't isolated r2 properly. What you have here is really 1/r2. You need to flip it so you are solving for r2.
 

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