A nonuniform stick of length L lies on the x axis with one end at the origin.

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A nonuniform stick of length L lies on the x axis with one end at the origin. Its mass density λ (mass per unit length) varies as λ = Cx, where C is a constant. (Thus, an element of the stick has mass dm = λ dx.)

(a) What is the total mass of the stick?  

(b) Find the gravitational field due to the stick at a point x0 > L.

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