Difficult
$A$ $1 \,kg$ box placed at the origin starts sliding along the $x$-axis under the action of a force $\vec{F} = F \hat{i}$. Its acceleration as a function of $x$ is given by $a(x) = \beta x$,where $\beta = 5 \,s^{-2}$. The work done by $\vec{F}$ in moving the box from $x = 2 \,cm$ to $x = 5 \,cm$ in joules is:
- A$52.5 \times 10^{-4}$
- B$105.5 \times 10^{-4}$
- C$17.0 \times 10^{-4}$
- D$34.0 \times 10^{-4}$
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