What is the force of universal gravitation between two homogeneous balls
| June 20, 2021 | education
What is the force of universal gravitation between two homogeneous balls with a mass of 2 km each if the distance between their centers is 10 m?
To calculate the magnitude of the force of universal gravitation between the indicated homogeneous balls, we use the formula: F = G * msh1 * msh2 / r ^ 2 = G * msh ^ 2 / r ^ 2.
Constants and variables: G – gravitational constant (G ≈ 6.67 * 10 ^ -11 m2 / (s2 * kg)); msh is the mass of each homogeneous ball (msh = 2 kg); r – distance between centers (r = 10 m).
Calculation: F = G * msh ^ 2 / r ^ 2 = 6.67 * 10 ^ -11 * 2 ^ 2/10 = 0.2668 * 10-11 H = 2.668 pN.
Answer: The force of universal gravitation between the indicated homogeneous balls is 2,668 pN.
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