Two cars weighing 80 tons each are attracted with a force equal to 0.17 mN. what is the distance between these cars?
| April 27, 2021 | education
m1 = m2 = 80 t = 80,000 kg.
G = 6.67 * 10 ^ -11 H * m2 / kg2.
F = 0.14 mN = 0.14 * 10 ^ -3 N.
R -?
According to the law of universal gravitation, between bodies of masses m1 and m2, which are at a distance R from each other, there is a force of mutual attraction F, the value of which is determined by the formula: F = G * m1 * m ^ 2 / R ^ 2, where G is gravitational constant.
The distance between the cars R will be determined by the formula: R = √ (G * m1 * m2 / F).
R = √ (6.67 * 10 ^ -11 H * m2 / kg2 * 80,000 kg * 80,000 kg / 0.14 * 10 ^ -3 N) = 55.2 m.
Answer: the cars are at a distance of R = 55.2 m.
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