The force on a particle of mass m placed on smooth horizontal surface is F = ( 2x^2 – 4 )N directed along positive X – axis. The particle is projected with minimum speed from x = 2 m towards mean position along X – axis for crossing the origin, then the kinetic energy at

Q: The force on a particle of mass m placed on smooth horizontal surface is F = ( 2 x2 – 4 )N directed along positive X – axis. The particle is projected with minimum speed from x = 2 m towards mean position along X – axis for crossing the origin , then the kinetic energy at

(a) The origin must be zero

(b) The origin is non – zero

(c) x = √2 must be zero

(d) x = 2 m may be zero

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Ans: (b) , (c)