First slide

Variation of g

Question

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by

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Solution

$g = \{\begin{cases} \frac{4}{3} π ρ G r; & r \leq R \\ \frac{4}{3} \frac{π ρ R^{3} G}{r^{2}}; & r > R \end{cases}$

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