Question

Задачв простая по теме смла притяжения. Два человека массами по 50 кг на расстоянии 1м друг от друга. Найти силу притяжения. Напоминаю, что гравитациооная постоянная G=6,67*10^-11 (в минус одиннадцатой степени) Прошу решения с подробным вычислениям. Я просто не могу понять, как из 10^-11 в ответе потом получается 10^-6 и т.д. Объясните пожалуйста.

Answer 1

Дано:
m = m1 = m2 = 50 кг
r = 1 м
G = 6,67·10⁻¹¹ м³/(кг·с²)

По закону всемирного тяготения:
F = G·m²/r² = 6,67·10⁻¹¹ ·50² / 1 ≈ 0,17·10⁻⁶ H

(Это элементарные вычисления, поэтому получилась степень (-6)

Answer 2

По формуле открытым Ньютоном
F=G*(m1*m2)/R²
где F- сила притяжения двух тел 
G - гравитационная постоянная
m1, m2 - масса тел
R² - КВАДРАТ расстояния между ними
Вычисляем: F=G*(m1*m2)/R²=6,67*$10^{-11}$*(50*50)/1²=6,67*$10^{-11}$*25*10$10^{2}$/1=0,2668*$10^{-9}$≈0,3*$10^{-9}$
ОТВЕТ=0,3*$10^{-9}$

Answer 3

Calculation of Gravitational Force

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

The formula for gravitational force (F) is given by:

F = (G * m1 * m2) / r^2

Where: - F is the gravitational force - G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2) - m1 and m2 are the masses of the two objects - r is the distance between the centers of the two objects

In this case, we have two people with masses of 50 kg each, and they are 1 meter apart. We need to find the gravitational force between them.

Substituting the given values into the formula:

F = (6.67 x 10^-11 Nm^2/kg^2) * (50 kg) * (50 kg) / (1 m)^2

Simplifying the equation:

F = (6.67 x 10^-11 Nm^2/kg^2) * 2500 kg^2 / 1 m^2

F = 6.67 x 10^-11 Nm^2 / kg^2 * 2500 kg^2 / 1 m^2

F = 6.67 x 10^-11 N * 2500 / 1 m^2

F = 6.67 x 10^-11 N * 2500 m^2

F = 6.67 x 10^-11 N * 2500

F = 1.667 x 10^-7 N

Therefore, the gravitational force between the two people is approximately 1.667 x 10^-7 Newtons.

Please note that the value of the gravitational constant (G) is a very small number, which is why it appears as 10^-11 in scientific notation. The final answer is also expressed in scientific notation to maintain consistency with the units used.

I hope this explanation helps! Let me know if you have any further questions.