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The masses of Earth and the moon are 5.97x1024 kg and 7.35x1022 kg, respectively. The distance from Earth to the moon is 3.80x105 km. At what point between the Earth and the moon are the opposing gravitational fores equal? (Use subscripts e and m to represent Earth and moon.
a. 3.42x105 km from the center of Earth
b. 3.80x105 km from the center of Earth
c. 3.42x106 km from the center of Earth
d. 3.10x107 km from the center of Earth