Question

In: Physics

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The...

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The center of the moon is 238,900 miles from the center of Earth.

The moon goes around the Earth-Moon center of mass with a speed of 2,288 miles per hour (3,683 kilometers per hour).

a.)What is the orbital speed of Earth in the Earth-Moon center of mass frame (total momentum is zero)? Please, give your answer in meters per second.

b.) Using the formula for centripetal force, what is the force of gravity exerted by the Earth on the Moon?

c.) Using the formula for centripetal force, what is the force of gravity exerted by the Moon on Earth?

Solutions

Expert Solution

Given,

a) Since the total momentum is zero in the centre of mass frame. Therefore,

                             

                    

b) Force of gravity exerted by the Earth on the Moon,

                  

                                      

c) From Newton's 3rd law,

Force of gravity exerted by the Moon on the Earth =- Force of gravity exerted by the Earth on the Moon

                                      

genius_generous answered 2 years ago
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