Question

ДАЮ 100 БАЛЛОВ визначити силу взаємодії Марса із сонцем і прискорення вільного падіння на планеті маса сонця 2*10 в 30 степені КГ, маса Марса 6,418*10 у 23 степенi кг діаметр Марса 6800км середня відстань між сонцем і марсом 228 млн км​

Answer 1

можешь в комментариях на русском написать?

Answer 2

Calculating the Force of Interaction between Mars and the Sun

To calculate the force of interaction between Mars and the Sun, 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 the force of gravity is given by:

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

Where: - F is the force of gravity - G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2) - m1 and m2 are the masses of the two objects - r is the distance between the centers of the two objects

Calculating the Force of Interaction between Mars and the Sun

First, let's calculate the force of interaction between Mars and the Sun using the given values: - Mass of the Sun (m1) = 2 * 10^30 kg - Mass of Mars (m2) = 6.418 * 10^23 kg - Average distance between the Sun and Mars (r) = 228 million km (or 228 * 10^9 meters)

Now, we can plug these values into the formula to calculate the force of interaction between Mars and the Sun.

F = (6.674 × 10^-11 N m^2/kg^2) * ((2 * 10^30 kg) * (6.418 * 10^23 kg)) / (228 * 10^9 meters)^2

Calculating the Acceleration Due to Gravity on Mars

The acceleration due to gravity on the surface of a planet can be calculated using the formula:

g = G * (M / r^2)

Where: - g is the acceleration due to gravity - G is the gravitational constant - M is the mass of the planet - r is the radius of the planet

Given: - Mass of Mars (M) = 6.418 * 10^23 kg - Diameter of Mars (d) = 6800 km (or 6800 * 10^3 meters)

We can calculate the radius of Mars using the formula radius = diameter / 2 and then use it to calculate the acceleration due to gravity on Mars.

radius = 6800 * 10^3 / 2 = 3400 * 10^3 meters

g = (6.674 × 10^-11 N m^2/kg^2) * (6.418 * 10^23 kg) / (3400 * 10^3 meters)^2

Now, let's calculate the values and provide the final results.