Question

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.

Answer 1

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:

$T=\frac{2\pi r}{v}(1)$

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