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because it is negligible, in other words it is too small for our body's to sense

The formula to find the force between 2 objects is F = G x(m1 m2)/r^2
where G is a constant of 6.67 x 10^-11

r being the distance between the 2 objects
and m1 and m2 being mass of both objects respectively.
as G is a very very small number one or both objects have to be of considerably large mass in order to feel any force between them, in your case since leg of your chair and you and small masses, the force would be less than than enough to be felt.

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