# Two identical balls are quenched at a distance of about 1m from each other and are attracted with

Two identical balls are quenched at a distance of about 1m from each other and are attracted with a force of 6.67 * 10 ^ – 11. What is the mass of each ball?

Given:

m1 = m2 = m – the mass of the two balls is the same;

R = 0.1 meter – the distance between the balls;

F = 6.67 * 10 ^ -11 Newton – the force with which the balls are attracted;

G = 6.67 * 10 ^ -11 N * m ^ 2 / kg ^ 2 – gravitational constant.

It is required to determine m (kilogram) – the mass of the balls.

To determine the mass of the balls, you need to use the following formula:

F = G * m1 * m2 / R ^ 2;

F = G * m ^ 2 / R ^ 2, hence:

m = (R ^ 2 * F / G) ^ 0.5 = (0.1 ^ 2 * 6.67 * 10 ^ -11 / (6.67 * 10 ^ -11)) ^ 0.5 =

= (0.1 ^ 2) ^ 0.5 = 0.1 kilograms.

Answer: the mass of the balls is 0.1 kilograms.

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