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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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40 votes
40 votes
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?

User Emkarachchi
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1 Answer

24 votes
24 votes

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

User Isobar
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