Question

1 два одинаковых шарика находятся на расстоянии 0.1 м друг от друга и притягиваются с силой 6,67 * 10 в минус 15 степени Н. Какова масса каждого из шариков?   2 определить ускорение свободного падения на луне если масса луны 7,3 * 10 в 22 степени кг. Радиус луны принять равным 1700км

Answer 1

Mass of each ball

To determine the mass of each ball, we can use Newton's law of universal gravitation, which states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Given: - Distance between the balls: 0.1 m - Force of attraction: 6.67 * 10^-15 N

Let's denote the mass of each ball as m.

Using Newton's law of universal gravitation, we can write the equation:

F = (G * m^2) / r^2

Where: - F is the force of attraction - G is the gravitational constant (approximately 6.67 * 10^-11 N m^2/kg^2) - r is the distance between the centers of the balls

Substituting the given values into the equation, we have:

6.67 * 10^-15 N = (6.67 * 10^-11 N m^2/kg^2 * m^2) / (0.1 m)^2

Simplifying the equation, we find:

m^2 = (6.67 * 10^-15 N * (0.1 m)^2) / (6.67 * 10^-11 N m^2/kg^2)

m^2 = 0.1^2 kg^2

Taking the square root of both sides, we get:

m = 0.1 kg

Therefore, the mass of each ball is 0.1 kg.