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What is the force of gravity experienced by an object at the centre of the earth? (Assume that the earth is perfectly spherical)

Question

What is the force of gravity experienced by an object at the centre of the earth?

(Assume that the earth is perfectly spherical)

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Solution

The force of gravity experienced by an object at the centre of the Earth is zero. Here's why:

  1. Gravity is a force that attracts two objects towards each other. On Earth, gravity pulls objects towards the centre of the planet.

  2. The strength of gravity depends on two factors: the mass of the objects and the distance between them. The closer objects are, the stronger the gravitational pull.

  3. If an object is at the centre of the Earth, it is equally distant from all the mass surrounding it. This means that the gravitational pull from all the mass is equally strong in all directions.

  4. These forces cancel each other out, resulting in a net force of zero. Therefore, an object at the centre of the Earth would experience zero gravitational force.

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