assertion (A) : the weight of the object at the centre of earth is zero
Answers
Answer:No, This is a wrong statement.The weight of any object at the center of the earth is infinity, not zero.
Weight of the body = Mass × acceleration due to gravity.
W= mg ( ,or) F= mg
According to Law of gravitation ,
Attractive force between any two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
F = Gravitational constant × Mass of the earth × Mass of the object / square of the distance between them
F = G × Me× Mo / R^2
If the object is at the centre of the earth. Then the distance between the centre of the object and the centre of the earth is zero.
W (or) F = G× Me × Mo / zero
W = anything / zero
= Infinity
= the number that is larger than any other that you can think of !.
So, at the centre of the earth the weight of any object is infinite. Not zero.
In the same way, you can see
Weight = Mo × g = G Me Mo / R^2
g = G Me / R^2
This shows that the acceleration due to gravity inversely proportional to the square of the distance between the centre of the earth and center of the object. ie acceleration due to gravity increases as distance between these centres decreases.
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