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The weight of an object [[1]] when we move from the center of the earth to the surface of the earth.

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Detailed Solution

The weight of an object increases when we move from the center of the earth to the surface of the earth.
Weight of an object at a depth h from the earth’s surface is given as

W_{h} = m g_{h}

Where

m =

mass of the object

g_{h} =

acceleration due to gravity at a depth h from the earth’s surface
The formula of acceleration due to gravity at a depth

h

from the earth’s surface is given as

g_{h} = g (1 - \frac{h}{R})

Where

h =

depth at which acceleration due to gravity has to be found
At the center of the earth,

h = R

, and as we move from the center to the earth's surface, the value of h decreases, due to which the value of

g_{h}

increases.
Hence, the weight of an object increases when we move from the center of the earth to the surface of the earth.

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