Venus has a diameter of 12100km and a mass of 4.87*10^24kgcalculate the energy needed to lift one kg from the surface of venus to a space station in orbit 900km from the surface.不太清楚该怎么算,

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Venus has a diameter of 12100km and a mass of 4.87*10^24kg
calculate the energy needed to lift one kg from the surface of venus to a space station in orbit 900km from the surface.
不太清楚该怎么算,

the force between Venus and the object is:
F=GM1M2/r²
to lift the object to 900km space from the surface needs to  overcome the force F to do work,this work is equal to the energy.
W=∫Fdr=∫(GM1M2/r²)dr=GM1M2(1/r1-1/r2)
这里要用积分.就跟将地球上的物体提高到一定高度需要克服重力做功一样.r1就是表面的半径,r2就是r1+900km,M1=4.87*10^24kg,M2=1kg

要求需要的能量即求mg'h，而m=1kg，h=900*10^3m，只要求出g'即可。
又在金星表面时mg'=GmM/R^2，g'=GM/R^2，已经都是已知数了，所以即可得答案。

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