If the radius of the Earth were to shrink to half its size while keeping its mass constant, what would happen to the gravitational acceleration at the surface?
Practice Questions
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Q1
If the radius of the Earth were to shrink to half its size while keeping its mass constant, what would happen to the gravitational acceleration at the surface?
It doubles
It halves
It remains the same
It quadruples
Gravitational acceleration is inversely proportional to the square of the radius. If the radius is halved, g becomes 4 times greater.
Questions & Step-by-step Solutions
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Q
Q: If the radius of the Earth were to shrink to half its size while keeping its mass constant, what would happen to the gravitational acceleration at the surface?
Solution: Gravitational acceleration is inversely proportional to the square of the radius. If the radius is halved, g becomes 4 times greater.