A $2\mathrm{.}0-$ kg object moving along the $x-$axis is acted upon by the force that varies with position as shown below. The speed of the object at $x=0$ is $v=3\mathrm{.}0\frac{m}{s}.$ Find the work done by the force from $x=0$ to $x=4\mathrm{.}0m,$ and the speed of the object at $x=4\mathrm{.}0m.$

The work done by the force from $x=0$ to $x=4\mathrm{.}0m$ is approximately J$.$

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The speed of the object at $x=4\mathrm{.}0m$ is approximately $\frac{m}{s}.$

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