What is the mass of two identical railroad cars? located at a distance of 200 m

What is the mass of two identical railroad cars? located at a distance of 200 m, if they are attracted to each other with a force of 8.2 * 10 ^ -6H?

The gravitational pull of two railway cars:

F = G * m1 * m2 / R², where F is the force with which the cars are attracted to each other (F = 8.2 * 10-6 N), G is the gravitational constant (const, G = 6.67 * 10- 11 m³ / (kg * s²)), m1 = m2 = m is the mass of a railway carriage, R is the distance between cars (R = 200 m).

F = G * m2 / R².

m = √ (F * R² / G) = √ (8.2 * 10-6 * 2002 / (6.67 * 10-11)) = 70125 kg ≈ 70 tons.

Answer: The mass of each of the railway cars is 70 tons.



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