Question

find the acceleration due to gravity at the depth of 2000 kilometre from earth surface assuming that earth has a uniform density radius of the earth is 6400 km

Answer 1

Dear Student,

$$\begin{gathered} Given, \\ d=2000km=2\times {10}^{6}m \\ R=6400km=6.4\times {10}^{6}m \\ Newvalueofaccelerationduetogravityis, \\ {g}^{\text{'}}=\left[1-\frac{d}{R}\right]\times g=\left[1-\frac{2x{10}^6}{6.4x{10}^6}\right]\times 9.8=.6785\times 9.8=6.735m/s^2 \end{gathered}$$

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