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

Answer:

The International Space Station move at 7.22 km/s.

Explanation:

Orbital speed of satellite is given by  $v=\sqrt{\frac{GM}{r}}$, 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

              $v=\sqrt{\frac{6.673\times 10^{-11}\times 5.98\times 10^{24}}{7.75\times 10^6}}=7223.86m/s=7.22km/s$

  The International Space Station move at 7.22 km/s.