A satellite orbits the moon at height of 2000m.assuming it to gravitational pull of the moon,find the speed and time it takes for one orbit,given that mass of moon is 7.34 * 10 to power 22 kg and radius is 1.738 * 10 to power 6m.(g = 6.6 * 10 to power -11nm2/kg).

Answer 1

remember the orbital radisu is rmoon+altitude.

Force=GMm/orbitRadius^2
and
force= m v^2/orbitRAdius
set them equal, solve for
v.

then, period T:
v=2PI*orbitalradius/T
solve for T