Trip to the Moon

1. The problem statement, all variables and given/known data

You plan to take a trip to the moon. Since you do not have a traditional spaceship with rockets, you will need to leave the earth with enough speed to make it to the moon.

On your first attempt you leave the surface of the earth at v = 5534 m/s. How far from the center of the earth will you get?

Mearth = 5.9742 x 1024 kg
Rearth = 6.3781 x 106 m
Mmoon = 7.36 x 1022 kg
Rmoon = 1.7374 x 106 m
Dearth to moon = 3.844 x 108 m (center to center)
G = 6.67428 x 10-11 N-m2/kg2

2. Relevant equations

PE = GMEm/r

KE1 + PE1 = KE2 + PE2

3. The attempt at a solution

[itex]\frac{1}{2}[/itex]m (5534)2 = GMEm/r

r = 2.6 x 107

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