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If the radius of the earth were doubled while at the same time its mass remained constant, by what factor would this change its acceleration due to gravity at the surface?

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Answer:

a = G M / R^2 acceleration at surface

a2 / a1 = (R1 / R2)^2 = (1/2)^2 = 1/4

The acceleration would be 1/4 of its original acceleration

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