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宇宙飞船在330km空中绕地球飞,每91.1分转一圈,求向心加速度(答案含g),下面是原题

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宇宙飞船在330km空中绕地球飞,每91.1分转一圈,求向心加速度(答案含g),下面是原题
Suppose the space shuttle is in orbit 330 km from the Earth's surface,and circles the Earth about once every 91.1 minutes.Find the centripetal acceleration of the space shuttle in its orbit.Express your answer in terms of g,the gravitational acceleration at the Earth's surface.
宇宙飞船在330km空中绕地球飞,每91.1分转一圈,求向心加速度(答案含g),下面是原题
Suppose an object(with mass m) is just above the earth‘ surface,we can get
GMm/R*2 =mg M is the earth’ mass R is the radius of the earth
we get gR*2=GM
Then we consider about the shuttle GMm1/(R+h)*2=m1(R+h)4π*2/T*2
you can get R+h
GMm1/(R+h)*2=m1a a=gR*2/(R+h)*2 fill the number into the equation,then it is solved