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 ?
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:
The acceleration due to gravity is zero at the centre, increases linearly inside the earth up to the surface where it is maximum \(g = \frac{GM}{R^2}\), and then decreases as \(1/r^2\) outside the surface. Thus, \(g\) is greatest at the surface.
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