# The Moon has an interesting relationship with the Earth, where the sameface of the Moon is always facing towards the Earth. This is called tidallocking, where the time it takes for the Moon to rotate once is exactlyequal to the time it takes for it to orbit the Earth. Given that the Moonperforms 13.5 rotations per year, and that the Earth has a mass of 5.971024 kg, find the center to center distance between the Earth and theXMoon. You must show your work in order to obtain credit. Thegravitational constant is G = 6.67 x 10 11 Nmkg2

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Step 1

Given:

Step 2

Gravitational force on moon due to Earth, FG = GMMME/r2

Centripetal force on moon, Fc =  MMrw2

Where,

G = gravitational constant

MM = mass of moon

M...

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