What would happen to the local acceleration due to gravity (g) if Earth's mass were to double while its radius remained the same?
Understand the Problem
The question asks about the relationship between Earth's mass, radius, and the acceleration due to gravity (g). It requires understanding how 'g' is affected if the mass of the Earth were to double, while the radius remains constant. We need to determine the correct multiple.
Answer
The local acceleration due to gravity would double.
If the Earth's mass were to double while its radius remained the same, the local acceleration due to gravity (g) would double.
Answer for screen readers
If the Earth's mass were to double while its radius remained the same, the local acceleration due to gravity (g) would double.
More Information
The acceleration due to gravity (g) is directly proportional to the mass of the Earth. Therefore, if the mass doubles, g also doubles, assuming the radius remains constant.
Tips
A common mistake is to confuse the relationship between mass and radius. Only a change in mass affects the acceleration due to gravity in this scenario, as the radius is constant.
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