By what factor would a person’s weight at the surface of the Earth change if the Earth’s mass was the same but the Earth’s radius was twice its current size? A. the person would weigh half as much when the earth’s radius doubled B. the person would weigh the same when the earth’s radius doubled C. the person would weigh four times as much when the earth’s radius doubled D. the person would weigh one quarter as much when the earth’s radius doubled E. the person would weigh twice as much when the earth’s radius doubled

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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By what factor would a person’s weight at the surface of the Earth change if the Earth’s mass was the same but the Earth’s radius was twice its current size?

A. the person would weigh half as much when the earth’s radius doubled
B. the person would weigh the same when the earth’s radius doubled
C. the person would weigh four times as much when the earth’s radius doubled
D. the person would weigh one quarter as much when the earth’s radius doubled
E. the person would weigh twice as much when the earth’s radius doubled
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