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A thin rod extends from x 0 to x = 15.0 cm. It has a cross-sectional area A-e 6.00 cm, a increases uniformly in the positive x-direction from 2.00 g/cm3 at one endpoint to 19.5 g/cm3 at the other The density as a function of distance for the rod is given by B+ Cx, where B and Care constants. (a) What are the values of B (in g/cm3) and C (in g/cm) g/cm3 Finding the total mass of the rod requires integrating the density function over the entire length of the rod. The integral is written as follows. (b) 15.0 cm (B + Cx)(6.00 cm2) dx allmaterial all x What is the total mass of the rod (in kg)? kg
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