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You are explaining to friends why an astronaut feels weightless orbiting in the space shuttle, and...

You are explaining to friends why an astronaut feels weightless orbiting in the space shuttle, and they respond that they thought gravity was just a lot weaker up there.

Convince them that it isn't so by calculating how much weaker (in %) gravity is 420 km above the Earth's surface.

Express your answer using three significant figures.

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