The force that attracts every object towards the earth is called gravity.
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Mahi Sudharsan answered this
It is the force emitted by the Earth on us which pulls us towards the Earth.
(g=GM/R^2) it has a value of 9.8m/s^2.
For further reference, Please refer the NCERT textbook.
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Bhakti Chandore answered this
The force that attracts a body towards the centre of the earth or towards any other physical body having mass.