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第2378题:Applications in physics



Assume the mass of the Earth is M. To calculate the work done(WhW_h) in moving an object of mass m from a distance h from the Earth's center to infinity, which of the following four options (A, B, C, D) is the correct expression?


A. Wh=GMm0hdxx2W_h= GMm \int_0^{h} \dfrac{dx}{x^2}


B.Wh=GMmh+dxx2W_h= GMm \int_h^{+\infty} \dfrac{dx}{x^2}


C.Wh=GMmh0hdxx2W_h=\dfrac{GMm}{h} \int_0^{h} \dfrac{dx}{x^2}


D.Wh=GMmhh+dxx2W_h=\dfrac{GMm}{h} \int_h^{+\infty} \dfrac{dx}{x^2}



Newton's Law of Universal Gravitation: F = GMm/r², where G is the gravitational constant, r is the distance between the two point masses, and M and m are their respective masses.



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