# Estimate the order of magnitude of the force of mutual gravity of two ships

May 29, 2021 | education

| **Estimate the order of magnitude of the force of mutual gravity of two ships, 200 m apart from each other, if the mass of each of them is 20000 tons.**

The law of universal gravitation says: bodies are attracted to each other with a force proportional to their masses and inversely proportional to the square of the distance between them:

F = G * m1 * m2 / R ^ 2, G is the gravitational constant.

F = 6.67 * 10 ^ (- 11) * 2 * 10 ^ 7 * 2 * 10 ^ 7 / (200) ^ 2 = 0.667 N.

Answer: the magnitude of the force of attraction is 0.667 N.

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