Answer
$-3.8 \ J$
Work Step by Step
The work required to compress the spring beyond equilibrium can be calculated as:
$\text{Work}, W= \int_{m}^{n} F(x) \ dx $; where $k$ is the spring constant.
We are given that $k=100 \ N/m$
Now, $W= \int_{m}^{n} F(x) \ dx\\= \int_{0}^{0.3} -kx^{1.1} \ dx\\=-(100) [\dfrac{x^{2.1}}{2.1}]_{0}^{0.3} \\=-\dfrac{100}{2.1} \times (0.3)^{2.1} \\=-3.8 \ J$
