Respuesta :
Answer:
The fastest a planet moves is at perihelion (closest) and the slowest is at aphelion (farthest).
Explanation:
A planet travels fastest when the planet is closest to the sun also known as the perihelion.
What is an orbit?
An orbit is a regular, repeating path that one object in space takes around another one.
The planet moves faster when it is nearer the Sun and slower when it is farther from the Sun.
A planet moves with constantly changing speed as it moves about its orbit.
The fastest a planet moves are at perihelion (closest) and the slowest is at aphelion (farthest).
The force of gravity acting on a planet is equal to its mass times its centripetal acceleration.
Force of gravity = [tex]\frac{m v^2}{r}[/tex]
The force of gravity is defined by Newton's law of universal gravitation as:
Force of gravity = [tex]\frac{mMG}{r^2}[/tex]
Therefore:
[tex]\frac{mMG}{r^2}[/tex] = [tex]\frac{m v^2}{r}[/tex]
[tex]\frac{MG}{r}[/tex]= [tex]v^2[/tex]
According to the equation if v increases r decreases.
Hence, the planet is moving fastest when it's closest to the sun, also known as the perihelion.
Learn more about the orbit here:
https://brainly.com/question/708782
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