Question

How fast would the International Space Station (ISS) have to travel to maintain a circular orbit a distance of 1400 km above the earth?

Answer 1

The International Space Station move at 7.22 km/s.

Step-by-step explanation:

Orbital speed of satellite is given by
`v=\sqrt{(GM)/(r)}`, where G is gravitational constant, M is mass of Earth and r is the distance to satellite from centre of Earth.

r = R + h = 6350 + 1400 = 7750 km = 7.75 x 10⁶ m

G = 6.673 x 10⁻¹¹ Nm²/kg²

M = 5.98 x 10²⁴ kg

Substituting

`v=\sqrt{(6.673* 10^(-11)* 5.98* 10^(24))/(7.75* 10^6)}=7223.86m/s=7.22km/s`

The International Space Station move at 7.22 km/s.