Posted by ... on Friday, November 25, 2011 at 8:36pm.
the F of gravity is equal to (G*m1*m2)/(d^2) where g is the gravitational constant (6.673e-11 N*m^2/kg^2, notice the units are m not km), m1 is the mass of one object, m2 is the mass of the other object, and d= the distance between the centers of each object.
in this situation,
m1= 1.0 kg
m2 = 5.98e24 kg (i assume you meant 5.98x10^24)
d= 335 km + 6370 km. or 335000 m + 6370000 m
since it would look strange if i showed you how to put it into a calculator, i'll assume you can figure that out.
your answer is 8.87615 N, as the m^2 and 1/kg^2 in G cancel out all other units save N.
since F=mass*acceleration, and the Fgav for the object is 8.87615 and the mass is 1.0 kg, then the acceleration is equal to F/m = 8.87615/1 = 8.87615.
to get the percent, 8.87615/9.8 = x/100
the % is about 90.573%, and you would know better than I what decimal place you are expected to round it to.
also, if u need further help i recommend:physicsclassroom,com/Class/circles/u6l3c
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