Answer:
517.6 N
8.63 m/s²
Explanation:
M = mass of earth = 5.98 x 10²⁴ kg
m = mass of the person = 60 kg
W = weight of the person
R = radius of earth = 6.4 x 10⁶ m
d = distance of ISS above the surface of earth = 400 km = 4 x 10⁵ m
Weight of person on the ISS is given as
[tex]W = \frac{GMm}{(R+d)^{2}}[/tex]
[tex]W = \frac{(6.67\times 10^{-11})(5.98\times 10^{24})(60)}{((6.4\times 10^{6})+(4\times 10^{5}))^{2}}[/tex]
W = 517.6 N
Acceleration due to gravity is given as
[tex]g = \frac{GM}{(R+d)^{2}}[/tex]
[tex]g = \frac{(6.67\times 10^{-11})(5.98\times 10^{24})}{((6.4\times 10^{6})+(4\times 10^{5}))^{2}}[/tex]
g = 8.63 m/s²