explain why the value of g changes if we go inside the earth.
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HIIIII...
As we go inside the earth, our distance from the centre of the earth decreases and no longer remains equal to the radius of the earth (R). ... Due to combined result of a change in R and M, value of g decreases as we go deep inside the earth.
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The value of g is calculated using the formula g= GM/r², where G is the universal constant of gravitation, M is the mass of the earth and r is the distance of an object from the earth's centre. However, the part of the earth which exerts the gravitational force on the object decreases as r decreases. The mass (M') of this part is less than M. as we move towards the earth's centre, r decreases, but M' decreases to a greater extent. The combined effect is g infinity (R-d), where d is the distance of the object from the earth's surface. As d, the depth, increases, g decreases, i.e., g changes. At the earth's centre,
d=R.
g=0.
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