You are the science officer on a visit to a distant solar system. Prior to landing on a planet, you measure its diameter to be 1.60 x 10⁷ m and its rotation period to be 22.3 hours. Once on the surface, you find that the free-fall acceleration is 11.9 m/s². What is the mass of the planet?
a. 1.34 x 10²4 kg
b. 2.68 x 10²4 kg
c. 4.47 x 10²4 kg
d. 6.72 x 10²4 kg