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the effect of gravity near the surface of Earth

Near the surface of Earth we may approximate the effects of gravity by the weight of the two masses, according to

F1,ext = m1 g e3      and      F2,ext = m2 g e3

where g represents the gravitational acceleration near the surface of Earth and e3 the vertical unit vector.
On substitution of the above result into the previous expression for μa, we obtain

μa = F12

No effects of gravity remain near the surface of Earth.





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