derive an expression for acceleration due to gravity
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We get, ⇒g=GM(R−d)R3. Therefore the expression of acceleration due to gravity of a body at a depth d from the surface of earth is GM(R−d)R3. Here, we can understand that the acceleration of a body due to gravity inside earth decreases as we go from the surface to the centre of earth. At centre g=0.
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Its value near the surface of the earth is 9.8 ms-2. Therefore, the acceleration due to gravity (g) is given by = GM/r2.
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Under the gravitational influence on two bodies, the mass in terms of mass is given by,
FA = GMmA/r2,
FB = GMmB/r2,
mB = [FB/FA] × m. A
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