A rocket is launched from the surface of the earth with, Physics

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A rocket is launched from the surface of the earth with

A rocket is launched from the surface of the earth with speed 2.00x104 m/s. The radius of the earth is RE = 6.37x106 m. The earth's mass is M = 5.98x1024 kg. G = 6.67x10-11 N·m2 /kg2

(a) Prove that the rocket does escape the earth's gravitational field.

(b) What is the speed of the rocket at an infinite distance from the earth?

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