When a spacecraft travels from the earth to the moon, both the earth and the moon exert a gravitational force on the spacecraft. eventually, the spacecraft reaches a point where the moon's gravitational attraction overcomes the earth's gravity. how far from the earth's surface must the spacecraft be for the gravitational forces from the moon and the earth to just cancel?

Explanation:

One quarter of the gravity at 6371 kilometres above the surface, which is far higher than people are ever likely to go without acquiring a stable orbit. The International Space Station is at an altitude of just over 400 kilometres. The Kármán line at 100 kilometres is the official definition.

On the surface of the Earth, the escape velocity is about 11.2 km/s, which is approximately 33 times the speed of sound (Mach 33) and several times the muzzle velocity of a rifle bullet (up to 1.7 km/s). However, at 9,000 km altitude in "space", it is slightly less than 7.1 km/s.

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