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Short answer
1.3 x 102 N (on moon)
7.5 x 102 N (on Earth if g = 9.80 N/kg
Long Answer
Since the category is "The Moon" gravity will be assumed to be 1.63 m/s2 (N/kg = m/s2)
http://en.wikipedia.org/wiki/Gravitation_of_the_Moon
W = mg
W = (77 kg)(1.63 N/kg) = 125.51 -> 1.3 x 102 N (significant figures)
for earth, just substitute in 9.80 N/kg for 1.63 N/kg
W = (77 kg)(9.80 N/kg) = 7.5 x 102 N
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