prove that acceleration due to gravity at the centre of earth is zero
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Explanation:
With the following image we get the relation between acceleration due to gravity and gravitational constant.
If R=0, then g=0
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When we move towards centre of earth, the mass is equally distributed in all directions. Thus, all the gravitational forces applied cancel each other and acceleration due to gravity (g) at centre of earth on centre of earth becomes zero (0).
Explanation:
Formula for Acceleration Due to Gravity
These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance.
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