Question

The Moon orbits the Earth at a distance of 3.85 x 108 m. Assume that this distance is between the centers of the Earth and the Moon and that the mass of the Earth is 5.98 x 1024 kg. Find the period for the Moon's motion around the Earth. Express the answer in days. The unit for this is "days"

Answer 1

force gravity=force centripetal

GMe*m/r^2=m w^2 r

where w= 2PI/Period

solve for period in seconds, then convert it to days.