Asteroid 433 Eros Is One of the Largest Near-Earth Asteroids

Multiple Choice

Asteroid 433 Eros is one of the largest near-Earth asteroids. For purposes of this problem, assume it is spherical. The value of g at its surface is 0.0060 m/s² and the escape velocity is only 10.1 m/s. What is the mass of Eros? G = 6.67 x 10^-11 N·m²/kg².

A) 2.3 × 10¹⁶ kg
B) 3.5 × 10¹² kg
C) 6.5 × 10¹⁵ kg
D) 4.9 × 10¹⁴ kg
E) 6.7 × 10¹³ kg