Question

Физика. 9 класс. Помогите пожалуйста Определить силу тяжести, которая действует на тело массой 100 кг на поверхности планеты, масса которой 7 10( со степенью 22) кг, а радиус 1600 км.

Answer 1

Дано:
m = 100 кг
M = 7 × 10^22 кг
G = 6,67 × 10^-11 Н × м²/кг²
R = 1600 км = 1600 × 10^3 м = 1,6 × 10^6
Найти: F тяж - ?
Решение:
F тяж = mg
g = GM/R²
g = (6,67 × 10^-11 Н×м²/кг² × 7 × 10^22 кг)/(1,6 × 10^6 м)² = (46,69 × 10^11)/(2,56 × 10^12) м/с² ≈ 18,2 × 0,1 м/с² = 1,82 м/с²
F тяж = 100 кг × 1,82 м/с² = 182 Н

Answer 2

Calculating Gravitational Force

To calculate the gravitational force acting on a body of mass 100 kg on the surface of a planet with a mass of 7 x 10^22 kg and a radius of 1600 km, we can use the formula:

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

Where: - F is the gravitational force - G is the gravitational constant (6.67 x 10^-11 N m^2/kg^2) - m1 is the mass of the body - m2 is the mass of the planet - r is the radius of the planet

Let's calculate the gravitational force using the given values.

Given: - Mass of the body (m1) = 100 kg - Mass of the planet (m2) = 7 x 10^22 kg - Radius of the planet (r) = 1600 km

Calculation

Using the formula: F = (G * m1 * m2) / r^2

Substituting the given values: F = (6.67 x 10^-11 N m^2/kg^2 * 100 kg * 7 x 10^22 kg) / (1600 km)^2

Converting the radius from kilometers to meters: 1600 km = 1,600,000 meters

Now, let's calculate the gravitational force using these values.

Result

The gravitational force acting on the body of mass 100 kg on the surface of the planet is approximately 800 N.

This calculation is based on the gravitational force formula and the given values