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 $\times 10 ^ { 6 } \mathrm {~m}$ From this information, what will she determine for the mass of Z-49? $\left( G = 6.67 \times 10 ^ { - 11 } N \right.$ $\left. m ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

A) $9.95 \times 10 ^ { 23 } \mathrm {~kg}$
B) $6.62 \times 10^{23} \mathrm {~kg}$
C) $4.62 \times 10^{23} \mathrm {~kg}$
D) $8.09 \times 10 ^ { 23 } \mathrm {~kg}$
E) $3.30 \times 10 ^ { 23 } \mathrm {~kg}$