Maximum gravity location – Rankers Physics

Acceleration Due to Gravity and its variation: Practice Problem & Solution

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 Explained:

To solve this problem, we apply the core principles of Acceleration Due to Gravity and its variation. Understanding the underlying formula is key to arriving at the correct answer below:

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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