Earth-Moon system: a) Make a rough estimate of how long it will take for Earth's rotation period to reach 47 days (when it will be synchronized with Moon's orbital period) assuming that the Earth's spin is decreasing at a rate of 0.0016 s/century=1.92x10-10 d/year. b) Estimate the distance of the Moon from the Earth in that case (using a law that relates orbital period and object's distance).

Earth-Moon system: a) Make a rough estimate of how long it will take for Earth's rotation period to reach 47 days (when it will be synchronized with Moon's orbital period) assuming that the Earth's spin is decreasing at a rate of 0.0016 s/century=1.92x10-10 d/year. b) Estimate the distance of the Moon from the Earth in that case (using a law that relates orbital period and object's distance).