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A new planet is discovered in a neighboring solar system that has twice the mass, but...

A new planet is discovered in a neighboring solar system that has twice the mass, but half the radius of Earth. How does the strength of the gravitational field on Earth (gE) compare to the strength of the gravitational field on the newly discovered planet (gN)?

A. gE= gN

B. gE= 8gN

C. 2gE= gN

D. 8gE= gN

The answer is D. But can someone show me how to use the equation mg=Gm1m2/r^2 to show this relationship. Please indicate the mass of which planet you are referring to. in the answer.

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