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Tiven white
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Homework Statement
Two identical spheres of diameter 8.55m are on the surface of the earth. The spheres are touching each other. What is the minimum density the spheres must have such that the gravitational force between them is at least equal to the weight of one of the spheres.
Homework Equations
F= m1*a = (G*m1*m2)/(r^2)
Newtons law of universal gravitation.
The Attempt at a Solution
I used the value for the acceleration of the Earth and multiplied it by the square of the radius between the spheres then divided the result by G to obtain m the mass m of one of the spheres was then divided by the volume of the sphere calculated from ((4/3)*Π*r^3) though this gave a value too high for the density of the sphere the value was like 3*10^10 kg/(m^3) higher than even the density of the planet is there any other insight to an attempt or solution to this problem it would be greatly appreciated.