In the Past,Earth Has Been Hit by Many Asteroids,some Very

In the past,Earth has been hit by many asteroids,some very large.Suppose one such asteroid approached Earth so that when it was very far away it was traveling at 6500 m/s along a line that would miss the center of Earth by 8,500,000 m.Because of the gravitational attraction of Earth,it departed from this straight line and curved towards Earth,colliding with it.What was the speed of this asteroid when it hit Earth if we ignore the effect of the sun? The mass of Earth is 5.97 × 10²⁴ kg,its radius is 6.38 × 10⁶ m,and G = 6.67 × 10^-11 N ∙ m²/kg².

A) 11400 m/s
B) 12900 m/s
C) 13700 m/s
D) 15800 m/s
E) 16400 m/s

Correct Answer:

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