Beings on Spherical Asteroid Π Have Observed That a Large

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

Correct Answer:

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