Answer: work = 8.34 Nm
Hi! The work W done by a force F to move an object from a to b is defined as (in the one dimensional case):
[tex]W = \int\limits^a_b {F}\, dx[/tex]
In this case
[tex]F = 292x^3 + 30x^2[/tex]
[tex]W = \int\limits^{0.55}_0 ({292x^3 + 30*x^2}) \, dx[/tex]
[tex]W = \frac{292}{4} x^4 + \frac{30}{3} x^3 \Big|_{0}^{0.55} = 8.34[/tex]
