What is the force with which two ships weighing 10,000 tons each are attracted to each other
| September 2, 2021 | education
What is the force with which two ships weighing 10,000 tons each are attracted to each other, if the distance between them is 1 km?
To estimate the desired force of attraction between two given ships, we apply the formula: F = G * m1 * m ^ 2 / r ^ 2 = G * m ^ 2 / r ^ 2.
Variables and constants: G (gravitational constant) = 6.67 * 10 ^ -11 m3 / (kg * s2); m is the mass of each ship (m = 10000 t; in the SI system m = 10 * 10 ^ 6 kg); r is the distance between ships (r = 1 km; in the SI system r = 1 * 10 ^ 3 m).
Calculation: F = G * m ^ 2 / r ^ 2 = 6.67 * 10-11 * (10 * 10 ^ 6) ^ 2 / (1 * 10 ^ 3) ^ 2 = 0.00667 N or 6.67 mN.
Answer: The given ships are attracted with a force of 6.67 mN.
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