Question

Assuming the earth to be a sphere of uniform mass density,how much would a body weigh half way down to the centre of the the earth if it weighed 250N on the surface?​

Answer 1

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We know,

accⁿ due to gravity at depth h from earth's surface ,

g = go( 1 - h/r)

here, h = r/2

g = go(1 - r/2r) = go/2

Now, weight of body at the surface of the earth = 250N = mgo

hence, weight of body at depth R/2 = mgo/2 = 250/2 = 125 N

Answer 2

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$\huge\star\mathfrak\red{{Answer:-}}$

acceleration due to gravity of depth of the earth

then,

g = go( 1 - h/r)

, h = r/2

Now, weight of body at the surface of the earth

= 250N = mgo

hence, weight of body at depth

( R/2 )= mgo/2

= 250/2

= 125 N

Thanks ❤

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