Question

25 points...........




Prove that acceleration due to gravity decreases as we move towards the centre of the earth
What is the weight of the body at the centre of the eart
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Answer 1

hey mate your answer↓

the weight of the body decreases as we go from the surface of the earth to the center of the earth because the mass of the earth declines as we go towards center of the earth.

weight is nothing but the force

gravitational force is directly proportional to the mass of the body and inversely proportional to the distance between them

here, weight= gravitational force

from the above
W is directly proportional to mass---(1)


as we go towards center of the earth, the mass of the earth declines---(2)

from (1) and (2)

the weight also declines


the mass of the earth is 0 at the center of the earth

weight=force=ma= 0×a=0

hence weight of the body is 0 at the center of the earth





the weight of the body at the center of the earth is 0

hope that it will help you