Calculate your weight on the International Space Station (ISS), which orbits at roughly 400 km about the surface of Earth. What is "g at the ISS?

Respuesta :

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