Si what is the weight of the object at the centre of the earth? Justify your answer.
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Answer:
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Explanation:
The weight of a body placed at the centre of the earth is zero. This is because the mass at the exact cenrte of the earth is zero. Gravitational force exists only if there is mass in the object.
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A BIG ZERO
Weight is the product of mass and acceleration due to gravity. That means, it depends upon distance between two objects. Since distance between the object and Earth will become zero, then weight will also become zero.
Mathematically,
We know,
1.
2.
(where,
- W = Weight,
- m = Mass of the object,
- g = Acceleration due to gravity,
- G = Universal Gravitation Constant,
- M = Mass of Earth &
- R = Radius of Earth.)
Substitution of the value of (g):-
[Since distance will become zero]
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