Question

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?

Answer 1

517.6 N

8.63 m/s²

Step-by-step 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

`W = (GMm)/((R+d)^(2))`

`W = ((6.67* 10^(-11))(5.98* 10^(24))(60))/(((6.4* 10^(6))+(4* 10^(5)))^(2))`

W = 517.6 N

Acceleration due to gravity is given as

`g = (GM)/((R+d)^(2))`

`g = ((6.67* 10^(-11))(5.98* 10^(24)))/(((6.4* 10^(6))+(4* 10^(5)))^(2))`

g = 8.63 m/s²