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*10^24kgcalculate 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,](/uploads/image/z/5372751-39-1.jpg?t=Venus+has+a+diameter+of+12100km+and+a+mass+of+4.87%2A10%5E24kgcalculate+the+energy+needed+to+lift+one+kg+from+the+surface+of+venus+to+a+space+station+in+orbit+900km+from+the+surface.%E4%B8%8D%E5%A4%AA%E6%B8%85%E6%A5%9A%E8%AF%A5%E6%80%8E%E4%B9%88%E7%AE%97%2C)
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,
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,
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,
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。