What should be the mass of each of two identical bodies so that at a distance of 1000m

What should be the mass of each of two identical bodies so that at a distance of 1000m they are attracted with a force of 270N?

The force of attraction of two bodies to each other is: F = G * M * m / (r ^ 2). In our case, the masses of the two bodies are the same, then the formula takes the form: F = G * (m ^ 2) / (r ^ 2), whence m ^ 2 = F * (r ^ 2) / G.
m ^ 2 = 270 * 1000 * 1000 / (6.67 * 10 ^ (-11)) = 4 * 10 ^ 18 (approximate).
m = 2 * 10 ^ 9 (approximate).



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