Find the force in mN with which two asteroids in open space, each weighing
April 9, 2021 | education
| Find the force in mN with which two asteroids in open space, each weighing 10,000 tons, are attracted if the distance between them is exactly 1 km.
Given:
m1 = m2 = 10000 tons = 1 * 10 ^ 7 kilograms – the mass of asteroids;
R = 1 kilometer = 10 ^ 3 meters – the distance between asteroids;
G = 6.67 * 10 ^ -11 m ^ 3 / (kg * s ^ 2) – gravitational constant.
It is required to determine the force of attraction between asteroids F (Newton).
F = G * m1 * m2 / R ^ 2 = 6.67 * 10 ^ -11 * 10 ^ 7 * 10 ^ 7 / (10 ^ 3) ^ 2 = 6.67 * 10 ^ 3/10 ^ 6 = 0 , 00667 Newton = 6.67 mN.
Answer: the force of gravity between asteroids is 6.67 mN.
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