A force \( F=k x^{2} \) acts on a particle at an angle of \( 60^{\circ} \) with the \( x \)-axis....

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A force \( F=k x^{2} \) acts on a particle at an angle of \( 60^{\circ} \)
\( \mathrm{P} \)
with the \( x \)-axis. the work done in displacing the particle from \( x_{1} \) to \( x_{2} \) will be -
(1) \( \frac{k x^{2}}{2} \)
(2) \( \frac{k}{2}\left(x_{2}^{2}-x_{1}^{2}\right) \)
(3) \( \frac{k}{6}\left(x_{2}^{3}-x_{1}^{3}\right) \)
(4) \( \frac{k}{3}\left(x_{2}^{3}-x_{1}^{3}\right) \)


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