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Anything with mass include you and me do exert gravitational force but the earth is massive so it exert more force than any of any small object including us on earth.

The gravitational force is done between two mass in following general gravitational law by Newton.

F = G.M1m2/R2

We sum up G.M1/R2 as gravity = 9.81 m/s2 for M1 is earth and R = earth radius

Between 2 man with m1 and m2 respectively, gravitational force between these two man is at

F = G.m1m2/L2

where L = distance between center of mass (you and me for instance).

Gravitational force is small compare to earth's gravitational force but it does exist.

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