Beings on Spherical Asteroid Π Have Observed That a Large

Multiple Choice

Beings on spherical asteroid Π have observed that a large rock is approaching their asteroid in a collision course.At 7514 km from the center of the asteroid,the rock has a speed of 136.0 m/s and later at 2823 km it has a speed of 392.0 m/s.Use energy conservation to find the mass of asteroid Π.You can neglect any effects due to the parent star of the asteroid.(G = 6.67 × 10^-11 N • m²/kg²)

A) 4.582 × 10²¹ kg
B) 9.164 × 10²⁷ kg
C) 6.112 × 10²⁸ kg
D) 4.582 × 10²⁰ kg