Derive the expression for change in the value of 'g'( acceleration due to gravity ) due to change in height .
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For an object placed at a height h, the acceleration due to gravity is less as compared to that placed on the surface. As depth increases, the value of acceleration due to gravity (g) falls. The value of g is more at equator and less at poles.
Formula: g = GM/r2
Dimensional Formula: M0L1T-2
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Formula of Acceleration due to Gravity G = universal gravitational constant (6.67×10-11 Nm2/kg2) m = mass of the object, M = mass of the earth, r = radius of the earth.
Values of g in SI: 9.806 ms-2
Values of g in CGS: 980 cm s-2
Dimensional Formula: M0L1T-2
Formula: g = GM/r2
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