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Question:
the gravitational force between an object on the earth and the earth itself pulls the object down to the centre of the earth and is called the weight of the object
Answer:

No. The force with which the Earth pulls any body towards itself is called the acceleratoin due to gravity, g, which is equal to 9.8 m/s2. When this factor is multiplied by the mass of a body, that is called weight.

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