Perhaps the most-common gravitational calculation is to determine the "weight" of an object of mass
m_(0)
sitting on the surface of the earth fie, the magnitude of the gravitationai altraction between the earth and the objech) According to Newton's lew of universal gravitation, the gravitational fryce on the coject is
F_(g)=G((m_(0)m_(0))/(r_(g)))=((Gm_(e))/(r_(n)^(2)))m_(0)
Where
m_(e)
is the mass of the narth and
r_(e)
is the distance between the objact and the center of the earth (
10,r_(e)=
radus of the earth
=6.38\times 10^(2)km
) Pan F What is the value of the composite constant
((Gm_(e))/(r^(2)))
, 10 be multppared by the mass of the object
m_(0)
in the equation abiove? Express your answer numerically in meters per second per second.