Rod on Scale
High school students in a physics class are asked to measure the mass of a non-homogeneous rod where the density varies along its length.
What is known:
- The density of the rod can be modeled as
ρ(x) = x2 - x + 3
where x is the length. The density function, ρ(x), has units of g/m.
- The length of the rod is 4 m.