Question

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?a. There is a tangential force that helps the satellite keep up with the rotation of the Earth.b. There is no acceleration toward the center of the Earth.c. The force toward the center of the Earth is balanced by a force away from the center of the Earth.d. The satellite is in a state of free fall toward the Earth.e. There is no gravitational force on the satellite.

Answer 1

Answer:

see that the correct one is D

Explanation:

In this problem the satellite is subjected to the universal force of attraction

    F = G M m / r²

using Newton's second law with centripetal acceleration you can find the angular velocity of the satellite

  F = m a

  F = m w² r

  G M / r³ = w²

and   w = 2π / T

In this case, the satellite is in a two-dimensional movement, where the free fall of the satellite is compensated by the horizontal displacement, for which it is always at a distance from the earth, remaining at the same point.

When reviewing the different statements we see that the correct one isD