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.