Maximum gravity location – Rankers Physics
Topic: Gravitation
Subtopic: Acceleration Due to Gravity and its variation

Maximum gravity location

One goes from the centre of the earth to an altitude half the radius of the earth, where will the \(g\) be greatest ?
centre of the earth
At a depth half the radius of the earth
At the surface of the earth
At an altitude equal to half the radius of the earth.

Solution:

Inside the earth, \(g\) increases linearly from center to surface: \(g(r) \propto r\). Outside, it decreases: \(g(r) \propto 1/r^2\). Thus, \(g\) is maximum at the surface of the earth.

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