Question

Отношение массы Венеры к массе Земли равно 0,82, а отношение среднего радиуса Венеры к среднему радиусу Земли — 0,95. Чему равна сила притяжения спускаемого на Венеру аппарата массой 247 кг? Считать ускорение свободного падения на поверхности Земли равным 10 м/с2. Ответ (округли до целого числа): Н.

Answer 1

Ответ:

лёгкое уравнение 26/с2

Answer 2

Calculation of the gravitational force on a spacecraft on Venus

To calculate the gravitational force on a spacecraft with a mass of 247 kg on Venus, we need to use the formula for gravitational force:

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

Where: - F is the gravitational force - G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2) - m1 is the mass of the first object (in this case, the spacecraft) - m2 is the mass of the second object (in this case, Venus) - r is the distance between the centers of the two objects

Given the following information: - The mass ratio of Venus to Earth is 0.82 - The radius ratio of Venus to Earth is 0.95 - The mass of the spacecraft is 247 kg - The acceleration due to gravity on the surface of Earth is 10 m/s^2

We can calculate the mass of Venus and the radius of Venus using the ratios:

Mass of Venus = Mass of Earth * Mass ratio of Venus to Earth Radius of Venus = Radius of Earth * Radius ratio of Venus to Earth

Let's calculate the mass and radius of Venus first:

Mass of Venus = Mass of Earth * 0.82 Radius of Venus = Radius of Earth * 0.95

Using the approximate values: - Mass of Earth = 5.972 × 10^24 kg - Radius of Earth = 6,371 km (6,371,000 meters)

Mass of Venus = 5.972 × 10^24 kg * 0.82 Radius of Venus = 6,371,000 meters * 0.95

Now, we can calculate the gravitational force on the spacecraft using the formula mentioned earlier:

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

Substituting the values: - G = 6.67430 × 10^-11 N(m/kg)^2 - m1 = 247 kg (mass of the spacecraft) - m2 = Mass of Venus (calculated earlier) - r = Radius of Venus (calculated earlier)

Let's calculate the gravitational force on the spacecraft on Venus:

F = (6.67430 × 10^-11 N(m/kg)^2 * 247 kg * Mass of Venus) / (Radius of Venus)^2

Please note that the exact values for the mass and radius of Venus are not provided in the question. However, we can use the approximate values mentioned earlier to calculate an approximate answer.