Gravitational Potential Energy: a Huge Cannon Is Assembled on an Airless

Multiple Choice

Gravitational potential energy: A huge cannon is assembled on an airless planet having insignificant axial spin. The planet has a radius of 5.00 × 10⁶ m and a mass of 3.95 × 10²³ kg. The cannon fires a projectile straight up at 2000 m/s. An observation satellite orbits the planet at a height of 1000 km. What is the projectile's speed as it passes the satellite? (G = 6.67 × 10^-11 N ∙ m²/kg²)

A) 1500 m/s
B) 1380 m/s
C) 1610 m/s
D) 1280 m/s