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Given that the universal gravitational constant is 6.7x10^-11 Nm^2kg^-1and the radius of the earth is 6.4x10^6m, what is the average density of the earth? please write out the steps, many thanks! 更新: 點解唔可以consider a particle on earth's surface, 當佢有circular motion? GMm/r^2 = mv^2/r 而要用GMm/r^2 = mg? 更新 2: 我試過用呢條式計, GMm/r^2 = mv^2/r , v= 2pi r /T (T=24hrs), 但點解計唔到ge?

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gravity, g = GM/R^2 = 10ms^-2 , therefore, M = 10* (6.4x10^6)^2 / 6.7x10^-11 = 6.11*10^24 kg average density of the earth = M/V = 6.11*10^24 / (4/3*pi*R^3) = 5567kgm^-3 2010-01-09 17:10:17 補充: g的數值視乎題目而定,一般AL paper設g=10ms^-2,不過如果題目要求用9.8ms^-2就自行更正...不過基本上個ans都係約數,我諗10同9.8的分別不會太大... 2010-01-09 18:45:45 補充: 我想問既然有一個咁簡單的方法,做咩要用一個咁複雜的辦法? 另外,你話v=2pi r /T係犯左一個係concept上好嚴重的錯誤,如果你咁講即係話該物體的重力全用作向心力,即該物體的R=0.但我想問你企上個磅上面的讀數會是0嗎?所以好明顯你的前設出現了問題,因此得不出正確的答案.

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