Question

Искусственный спутник выведен на круговую орбиту на высоте h над поверхностью земли . Определите модуль скорости движения спутника по орбите . Масса земли M , радиус земли R . Помогите решить .

Answer 1

Требуется определить первую космическую скорость

для ее нахождения приравняем равнодействующую силу ma к силе гравитационной:

m a = G m M / (R + h)^2

с учетом того, что ускорение - центростремительное, получаем:

V^2 / (R + h) = G M / (R + h)^2, откуда

V = sqrt(GM / (R + h))

Answer 2

Calculation of Satellite's Velocity on Circular Orbit

To determine the module of the velocity of a satellite on a circular orbit at a height h above the Earth's surface, we can use the following formula:

v = sqrt(G * M / (R + h))

Where: - v is the velocity of the satellite, - G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2), - M is the mass of the Earth, - R is the radius of the Earth, and - h is the height of the satellite above the Earth's surface.

Let's substitute the given values into the formula and calculate the velocity.

Given: - Mass of the Earth (M) = ? - Radius of the Earth (R) = ? - Height of the satellite above the Earth's surface (h) = ?

Unfortunately, the specific values for the mass of the Earth and the radius of the Earth are not provided in the question. Therefore, we cannot calculate the velocity of the satellite without these values.

Please provide the specific values for the mass of the Earth (M) and the radius of the Earth (R) so that we can proceed with the calculation.