Question

Ракете сообщили скорость, направленную вертикально вверх, модуль скорости равен 8 км/с. Станет ли она спутником земли?

Answer 1

Нет, не станет, она просто упадёт на Землю. Вот и всё

Answer 2

Can a rocket with a vertical velocity of 8 km/s become an Earth satellite?

To determine if a rocket with a vertical velocity of 8 km/s can become an Earth satellite, we need to consider the requirements for an object to be in orbit around the Earth.

Orbiting the Earth: For an object to orbit the Earth, it needs to meet two main conditions: 1. It must have sufficient velocity to counteract the gravitational pull of the Earth. 2. It must be at a certain altitude above the Earth's surface.

Velocity Requirement: To counteract the gravitational pull of the Earth, an object in orbit needs to have a minimum velocity known as the orbital velocity. The orbital velocity depends on the altitude of the orbit and can be calculated using the formula:

v = √(GM/r)

Where: - v is the orbital velocity - G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2) - M is the mass of the Earth (approximately 5.972 × 10^24 kg) - r is the distance from the center of the Earth to the object's orbit

Altitude Requirement: The altitude of the orbit determines the distance between the object and the Earth's surface. For a stable orbit, the altitude needs to be above the Earth's atmosphere to minimize atmospheric drag. The minimum altitude for a stable orbit is typically around 100 km above the Earth's surface.

Calculation:

Given that the rocket has a vertical velocity of 8 km/s, we can calculate if it meets the requirements to become an Earth satellite.

1. Velocity Calculation: Using the formula mentioned earlier, we can calculate the orbital velocity required for the rocket's altitude. However, the altitude is not provided in the question. Therefore, we cannot determine the exact orbital velocity.

2. Altitude Requirement: To determine if the rocket can become an Earth satellite, we need to know the altitude of its orbit. Without this information, we cannot definitively say whether the rocket can become a satellite.

In conclusion, without knowing the altitude of the rocket's orbit, we cannot determine if it can become an Earth satellite. The altitude is a crucial factor in determining whether an object can achieve a stable orbit around the Earth.

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