Given that the Moon's period about the Earth is 27.32 days and the distance from the Earth to the Moon is 3.84*10^8 m estimate the mass of the Earth. Assume the orbit is circular. Why do you suppose your estimate is high?

The force of attraction= centripetal force
G MeMm/d^2=Mm*V^2/d

but v= 2PId/T

put that in for v in the above, solve for Me.

v= 2PId/T

what does PI mean?

PI is 3.14...

1 answer

It is a mathematical constant approximately equal to 3.14159, which represents the ratio of a circle's circumference to its diameter. It is commonly used in various mathematical and scientific equations, including those related to circles and trigonometry.