An Astronaut Drops a Marble on the Surface of the Airless

Multiple Choice

An astronaut drops a marble on the surface of the airless Planet Z-49 and observes that it takes 1.02 s for the marble to fall 2.00 m starting from rest. She also knows that the radius of Z-49 is 3.39 × 10⁶ m. From this information, what will she determine for the mass of Z-49? (G = 6.67 × 10^-11 N ∙ m²/kg²)

A) 3.30 × $10^{23}$ kg.
B) 6.62 × $10^{23}$ kg.
C) 4.62 × $10^{23}$ kg.
D) 8.09 × $10^{23}$ kg.
E) 9.95 × $10^{23}$ kg.