A satellite orbits the earth once every $2.0 \mathrm{~h}$. What is the orbital period of another satellite whose orbital radius is 4.0 times larger?
A) $4.0 \mathrm{~h}$
B) $8.0 \mathrm{~h}$
C) $16 \mathrm{~h}$
D) $64 \mathrm{~h}$
E) Some other period (specify)

Question

Quizplus · Accepted Answer

According to Kepler's third law, the orbital period $T$ is proportional to the $3/2$ power of the orbital radius $r$. If the radius is 4 times larger, the period is $4^{3/2} = 8$ times longer. Thus, $2.0 \mathrm{~h} \times 8 = 16 \mathrm{~h}$.

A Satellite Orbits the Earth Once Every 2.0 h2.0 \mathrm{~h}2.0 h What Is the Orbital Period of Another Satellite Whose

A Satellite Orbits the Earth Once Every $2.0 \mathrm{~h}$ What Is the Orbital Period of Another Satellite Whose