satellite 1 is in a certain circular orbit around a planet, while satellite 2 is in a larger circular orbit. which satellite has (a) the longer period

a. Satellite 1 has a longer period and faster speed than satellite 2.
b. Satellite 1 has a longer period and slower speed than satellite 2.
c. Satellite 1 has a shorter period and faster speed than satellite 2.
d. Satellite 1 has a shorter period and slower speed than satellite 2.
e. The period and the speed are the same for both satellites.

Respuesta :

Answer:

c. Satellite 1 has a shorter period and faster speed than satellite 2.

Explanation:

The period of an object in a circular orbit is given by:

[tex]T=\frac{2\pi r}{v}(1)[/tex]

Here r is the radius of the circular orbit and v is the speed of the object. So, we have [tex]r_1<r_2[/tex], according to (1) the period is proportional to the radius, thus [tex]T_1<T_2[/tex]. In other hand the period is inversely proportional to the speed, so [tex]v_1>v_2[/tex]

Answer:

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Explanation: