If the radius of the Earth were to increase by a factor of 2, what would happen to the gravitational acceleration at its surface?
Practice Questions
1 question
Q1
If the radius of the Earth were to increase by a factor of 2, what would happen to the gravitational acceleration at its surface?
It would double
It would remain the same
It would halve
It would become one-fourth
Gravitational acceleration is inversely proportional to the square of the radius. If the radius doubles, g becomes 1/(2^2) = 1/4 of the original value.
Questions & Step-by-step Solutions
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Q
Q: If the radius of the Earth were to increase by a factor of 2, what would happen to the gravitational acceleration at its surface?
Solution: Gravitational acceleration is inversely proportional to the square of the radius. If the radius doubles, g becomes 1/(2^2) = 1/4 of the original value.
