What is weight of a body at the centre of Earth?

 
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Zero. It is because the value of gravitational acceleration at the centre of Earth is zero. So, weight. W=m×g =m×0 =0
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Earth is an ellipsis of non uniform mass density. It's surface has valleys and mountains. So a mass placed at center (?) is unequally pulled from all sides, making weight still non zero.
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The weight of an object near the surface of the Earth can be calculated using the formula :

W = m * g

where W is the weight of the object, m is its mass, and g is the acceleration due to gravity, which is approximately 9.8 m/s^2 near the Earth's surface. The mass of an object is a constant property and is independent of its location, so the weight of an object will change depending on its location relative to the Earth. For example, an object will weigh less on a mountaintop than it would at sea level due to the difference in gravitational acceleration.

It's also worth noting that weight is not a fundamental property of an object, but rather a measure of the force that acts on it due to the Earth's gravity. Mass, on the other hand, is a fundamental property of an object and is the same wherever the object is located in the universe.

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