The Captain of a Spaceship Orbiting Planet X Discovers That $410 \mathrm {~km}$

Multiple Choice

The captain of a spaceship orbiting planet X discovers that to remain in orbit at $410 \mathrm {~km}$ from the planet's center,she needs to maintain a speed of $68 \mathrm {~m} / \mathrm { s }$ What is the mass of planet X? (G = 6.67 × 10^-11 N ∙ m²/kg²)

A) 2.8 × 10¹⁹ kg
B) 4.2 × 10¹⁷ kg
C) 2.8 × 10¹⁶ kg
D) 4.2 × 10¹⁴ kg