A particle of mass \( 2 \mathrm{~kg} \) is subjected to a two dimensional conservative force giv...

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A particle of mass \( 2 \mathrm{~kg} \) is subjected to a two dimensional conservative force given by, \( F_{\mathrm{x}}=-2 x+2 y, F_{y}=2 x-y^{2} \). \( (x, y \) in \( \mathrm{m} \) and \( \mathrm{F} \) in \( \mathrm{N}) \). If the particle has kinetic energy of \( 8 / 3 \mathrm{~J} \) at point \( (2,3) \), find the speed (in \( \mathrm{m} / \mathrm{s} \) ) of the particle when it reaches \( (1,2) \).
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