two identical satellites orbit the earth in stable orbits. one satellite orbits with a speed vvv at a distance rrr from the center of the earth. the second satellite travels at a speed that is less than vvv . at what distance from the center of the earth does the second satellite orbit?

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25-10-2022
Physics

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two identical satellites orbit the earth in stable orbits. one satellite orbits with a speed vvv at a distance rrr from the center of the earth. the second satellite travels at a speed that is less than vvv . at what distance from the center of the earth does the second satellite orbit?

Answer :

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Paruljain Paruljain · Answer 1 · 2022-10-28T08:23:08-04:00

The second satellite will orbit at a larger distance, as the satellite's distance from the planet's core is inversely proportional to the square of that distance.

The centripetal force, which is comparable to the gravitational attraction of the Earth to a satellite, causes it to orbit the planet, allowing us to write

GMm/[tex]r^{2}[/tex] = m[tex]v^{2}[/tex]/r

where

G stands for gravity constant.

The Earth's mass is M.

The mass of the satellite is m.

R is the satellite's separation from the planet's center.

The satellite's speed is v.

We can modify the formula to read as:

r = Gm/[tex]v^{2}[/tex]

As a result, we can see that the satellite's distance from the planet's core is inversely proportional to the square of that distance. This implies that the second satellite, which moves slower, will be farther out from the planet's center.

Learn more about centripetal force of the Earth to a satellite here:

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