Question

ПОМОГИТЕ СРОЧНО!!! Средняя плотность Венеры 4900 кг/м3, а радиус планеты 6200 км. Найти ускорение свободного падения на поверхности Венеры. Пожалуйста дайте подробное обьяснение решения)

Answer 1

Рассмотрим силу притяжения тела произвольной массы на поверхности Венеры с Венерой

Answer 2

Calculation of Acceleration Due to Gravity on the Surface of Venus

To calculate the acceleration due to gravity on the surface of Venus, we can use the formula:

g = (G * M) / R^2

Where: - g is the acceleration due to gravity - G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2) - M is the mass of Venus - R is the radius of Venus

We are given that the average density of Venus is 4900 kg/m^3 and the radius of Venus is 6200 km.

To find the mass of Venus, we can use the formula:

M = density * volume

Where: - density is the average density of Venus - volume is the volume of Venus

The volume of a sphere can be calculated using the formula:

volume = (4/3) * π * R^3

Let's calculate the acceleration due to gravity on the surface of Venus step by step.

1. Convert the radius of Venus from kilometers to meters: - 1 km = 1000 m - Radius of Venus = 6200 km * 1000 m/km = 6,200,000 m

2. Calculate the volume of Venus: - volume = (4/3) * π * (6,200,000 m)^3

3. Calculate the mass of Venus: - mass = density * volume

4. Calculate the acceleration due to gravity on the surface of Venus: - g = (G * mass) / (radius of Venus)^2

Let's perform the calculations:

1. Convert the radius of Venus from kilometers to meters: - Radius of Venus = 6,200,000 m

2. Calculate the volume of Venus: - volume = (4/3) * π * (6,200,000 m)^3

3. Calculate the mass of Venus: - mass = 4900 kg/m^3 * volume

4. Calculate the acceleration due to gravity on the surface of Venus: - g = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * mass) / (6,200,000 m)^2

Now let's perform the calculations using the given values:

1. Convert the radius of Venus from kilometers to meters: - Radius of Venus = 6,200,000 m

2. Calculate the volume of Venus: - volume = (4/3) * π * (6,200,000 m)^3

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3. Calculate the mass of Venus: - mass = 4900 kg/m^3 * volume

4. Calculate the acceleration due to gravity on the surface of Venus: - g = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * mass) / (6,200,000 m)^2

Unfortunately, we do not have the exact value of the volume of Venus from the given information, so we cannot calculate the acceleration due to gravity on the surface of Venus accurately. To obtain a precise value, we would need the exact volume of Venus.

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