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A particle of mass m=1kg is lying at res...

A particle of mass m=1kg is lying at rest on x-axis, experiences a net force given by law `F=x(3x-2)` Newton, where x is the x-coordinate of the particle in meters. The magnitude of minimum velocity in negative x-direction to be imparted to the particle placed at x=4 meters such that it reaches the origin is `sqrt(P/27) m//s`. find the value of P.

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