What is the distance between bodies at rest with a mass of 100 kg each, if they are attracted to each other with a force equal to 0.1N?
Initial data: m1 (mass of the first body) = m2 (mass of the second body) = 100 kg, F (force with which resting bodies are attracted to each other) = 0.1 N.
Constants: G (gravitational constant) = 6.674 * 10 ^ -11 m ^ 3 / (kg * s ^ 2).
We calculate the distance between the bodies from the formula: F = G * m1 * m2 / R ^ 2.
R ^ 2 = G * m1 * m2 / F and R = √ (G * m1 * m2 / F).
Let’s perform the calculation:
R = √ (6.674 * 10 ^ -11 * 100 * 100 / 0.1) = 0.00258 m or 2.58 mm.
Answer: The distance between the bodies at rest is 2.58 mm.
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