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.)

Respuesta :

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

[tex]g= \frac{GM}{R^2}[/tex]

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

[tex]g_{ss} = \frac{GM}{R+h^2}[/tex]

[tex]g_{ss} = \frac{6.67*10^{-11}*5.972*10^{24}}{(6371*10^3+350*10^3)^2}[/tex]

[tex]g_{ss} = 8.82m/s^2[/tex]

Therefore the gravitational acceleration at 350km is [tex]8.82m/s^2[/tex]