What will be the escape speed of the earth is doubled keeping the same size?
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If, by doubling, you mean doubling the Earth's volume (which would happen if you increased the radius by the cube root of two), then escape velocity would change by a factor of: So doubling the volume and the mass increases escape velocity to about 14 km/s
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If the speed of earth is doubled keeping its size same, there is a little chance that it will escape from its orbit. It is because the Sun is having a tremendous amount of gravity. For escaping it we might need to make the Earth go a hell lot fast XD.
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