What happens to the force of gravity if each of the masses and the distance between them are reduced by 2 times?

Formula for calculating the force of gravity (gravity):

F = G * m1 * m2 / R²; G is the gravitational constant, m1 is the mass of the first body, m2 is the mass of the second body (m2 = 2 * 10 ^ 10 kg), R is the distance between the bodies.

After reducing each of the masses of the given bodies and the distance between them, the formula will take the form:

F1 = G * 0.5m1 * 0.5m2 / (0.5R) ².

Let’s perform the transformations:

F1 = G * 0.5m1 * 0.5m2 / (0.5R) ² = 0.25G * m1 * m2 / 0.25R² = G * m1 * m2 / R².

Answer: The value of the force of gravity will remain the same.

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