# Physics

posted by
**Abraham**
.

A rod extending between x = 0 and x = 17.0 cm has uniform cross-sectional area A = 7.60 cm

2

. It is

made from a continuously changing alloy of metals so that along its length its density changes steadily

from 2.00 g/cm

3

to 18.7 g/cm

3

.(a) Identify the constants B and C required in the expression ρ = B + Cx

to describe the variable density. (b) Carry out the integration of the following formula to find the mass

of the rod

m=∫all natural pdv=∮0^14.5cm(b+cx)(9.00cm^2)dx ∫