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Sagot :
r = \frac{GM}{v^{2} } formulas have been correctly rearranged to solve for radius.
What is circular motion ?
- An object moving in a circular motion is defined as rotating while doing so. There are two types of circular motion: uniform and non-uniform.
- While the angular rate of rotation and speed are constant during uniform circular motion, they are not during non-uniform motion.
The problem is asking to find the radius of the orbit of a satellite around a planet, given the orbital speed of the satellite.
For a satellite in orbit around a planet, the gravitational force provides the required centripetal force to keep it in circular motion, therefore we can write:
[tex]\frac{GMm}{r^{2} } = m\frac{v^{2} }{r}[/tex]
where
G is the gravitational constant
M is the mass of the planet
m is the mass of the satellite
r is the radius of the orbit
v is the speed of the satellite
Re-arranging the equation, we find
[tex]\frac{GM}{r} = v^{2}[/tex]
[tex]r = \frac{GM}{v^{2} }[/tex]
Learn more about circular motion
brainly.com/question/2285236
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