AP® Physics C: Mechanics

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Moderate

Orbits: Comparing the Kinetic Energies of Two Satellites

APPHMC-TRRIJM

Consider two satellites both in circular orbits around a very heavy planet. Satellite 1 has mass $m$ and radius of orbit $r$. Satellite 2 has mass $3m$ and radius of orbit $2r$.

What is the kinetic energy ratio between Satellite 1 and Satellite 2, $\cfrac {{KE}_{1}} {{KE}_{2}}$?

A

$\cfrac {4}{3}$

B

$\cfrac {4}{9}$

C

$\cfrac {3}{2}$

D

$\cfrac {3}{4}$

E

$\cfrac {2}{3}$