Question

A satellite is moving around earth in a circular orbit with speed vo. Radius of earth is "R"
and acceleration due to gravity at surface of earth is go? If satellite is suddenly stopped
then with what speed it hits earth?​

Answer 1

Answer:

Let, a satellite of mass m goes around the earth in a circular orbit of radius r=R+R=2R. Here the centripetal force mv

2

/r necessary to keep the satellite in its circular orbit is provided by the gravitational force GMm/r

2

between the earth and the satellite.

Thus, mv

2

/r=GMm/r

2

or v=

r

GM

=

2R

GM

Acceleration at the earth's surface is g=

R

2

GM

So, v=

2R

gR

2

=

gR/2

Explanation:

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