Question

A virtual satellite orbits the earth at an altitude h = 1600km with an altitude v = 7.1km / s. The amperage of the centrifugal force is F ’= 3151N. Calculate the satellite mass. It is known that the radius of the earth R = 6400 / km.

Answer 1

We can use the formula for the centrifugal force on a satellite to solve for its mass:

F' = (m * v^2) / r

Where F' is the centrifugal force, m is the mass of the satellite, v is the velocity of the satellite, and r is the distance between the center of the earth and the satellite, which is the sum of the radius of the earth and the altitude of the satellite.

r = R + h = 6400 + 1600 = 8000 km

Substituting the given values, we get:

3151 = (m * 7.1^2) / 8000

Solving for m, we get:

m = (3151 * 8000) / (7.1^2)

m ≈ 2.64 x 10^3 kg

Therefore, the mass of the satellite is approximately 2.64 x 10^3 kg.