Orbital Speed Relationship

00:00 1 marks

A satellite orbits the Earth in a circular orbit of radius *r*. What is the relationship between the orbital speed *v* and the radius *r*?

A

$v \propto r$
B

$v \propto r^{1/2}$
C

$v \propto r^{-1/2}$
D

$v \propto r^{-1}$

Hint Hint

Hint

Consider the force required to keep the satellite in a circular orbit (centripetal force) and the force providing it (gravitational force). Equate these forces and solve for the speed *v*.

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Answer Answer

Complete Answer

$v \propto r^{-1/2}$

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