In the Cavendish experiment, lead balls with a diameter of 5 and 20 cm were used.

| September 24, 2021 | education

In the Cavendish experiment, lead balls with a diameter of 5 and 20 cm were used. Calculate the force of gravitational attraction between these balls at a distance of 20 cm between the centers of the balls. The density of lead is 11 350 kg / m3

Data: d1 (diameter of the first lead ball) = 5 cm (0.05 m); d2 (diameter of the second lead ball) = 20 cm (0.2 m); R (distance between centers of lead balls) = 20 cm (0.2 m).

Constants: G (gravitational constant) = 6.67 * 10 ^ -11 m3 / (s2 * kg); ρ (lead density) = 11350 kg / m3.

The force of attraction between the balls: F = G * m1 * m2 / R ^ 2 = G * (ρ * 1/6 * Π * d1 ^ 3) * (ρ * 1/6 * Π * d2 ^ 3) / R ^ 2 …

Calculation: F = 6.67 * 10 ^ -11 * (11350 * 1/6 * 3.14 * 0.05 ^ 3) * (11350 * 1/6 * 3.14 * 0.2 ^ 3) / 0 , 2 ^ 2 = 5.88 * 10 ^ -8 N.



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