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A satellite orbiting Earth at an orbital radius [tex]r[/tex] has a velocity [tex]v[/tex]. Which represents the velocity if the satellite is moved to an orbital radius of [tex]4r[/tex]?

A. [tex]4v[/tex]
B. [tex]\frac{1}{2}v[/tex]
C. [tex]\frac{1}{4}v[/tex]
D. [tex]2v[/tex]

Respuesta :

Answer: C

Explanation:

The bigger the satellite, the longer it will take to get around the satellite. Hence, the velocity would get smaller.

r*v=4r*?

r*v/4r=?

r/4r * v=?

1/4 * v=?

?=v/4 ==> C

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