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**1. A spacecraft is to be launched from the surface of the earth so that it will escape from the solar system altogether.**

Find the speed relative to the center of the earth with which the spacecraft must be launched. Take into consideration the gravitational effects of both the earth and the sun, and include the effects of the earth's orbital speed, but ignore air resistance.Assume that the direction of launch is the direction of the earth’s motion in its orbit.

Find the speed relative to the center of the earth with which the spacecraft must be launched. Take into consideration the gravitational effects of both the earth and the sun, and include the effects of the earth's orbital speed, but ignore air resistance.Assume that the direction of launch is the direction of the earth’s motion in its orbit.

## Homework Equations

v

_{escape}=[tex]\sqrt{\frac{2 G M}{R}}[/tex]

**3. The Attempt at a Solution :**

11858 m/s

12321 m/s

11200 m/s

11858 m/s

12321 m/s

11200 m/s