Question

The gravitational acceleration is 9.81 m/s2 here on Earth at sea level. What is the gravitational acceleration at a height of 350 km above the surface of the Earth, where the International Space Station (ISS) flies? (The mass of the Earth is 5.97×1024 kg, and the radius of the Earth is 6370 km.)

Answer 1

To solve this problem it is necessary to apply the definition of severity of Newtonian laws in which it is specified that gravity is defined by

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

Where

G= Gravitational Constant

M = Mass of Earth

R= Radius from center of the planet

According to the information we need to find the gravity 350km more than the radius of Earth, then

`g_(ss) = (GM)/(R+h^2)`

`g_(ss) = (6.67*10^(-11)*5.972*10^(24))/((6371*10^3+350*10^3)^2)`

`g_(ss) = 8.82m/s^2`

Therefore the gravitational acceleration at 350km is
`8.82m/s^2`