Question #270410

Determine the force of gravitational attraction between the earth (m=5.98×10²⁴kg)and a 70-kg STEM student if the students is standing at sea level,a distance of 6.38× 10^6 m from earth's center.

Expert's answer

Fg=GMmR2,F_g=\dfrac{GMm}{R^2},Fg=6.67×1011 N×m2kg2×5.98×1024 kg×70 kg(6.38×106 m)2,F_g=\dfrac{6.67\times10^{-11}\ \dfrac{N\times m^2}{kg^2}\times5.98\times10^{24}\ kg\times70\ kg}{(6.38\times10^6\ m)^2},Fg=686 N.F_g=686\ N.

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