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You Have Discovered a New Asteroid, Which Has a Moon

Question 92

Multiple Choice

You have discovered a new asteroid, which has a moon in an elliptical orbit around it. From a series of observations, you establish that the closest approach occurs when the moon is 51,000 m from the asteroid, the furthest separation is 102,000 m, and the speed of the moon at the point of closest approach is 7.50 m/s. What is the mass of the asteroid? G = 6.67 x 10-11 N·m2/kg2.


A) 4.25 × 1016 kg
B) 9.87 × 1016 kg
C) 3.22 × 1016 kg
D) 2.04 × 1016 kg
E) 5.05 × 1016 kg

Correct Answer:

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