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A particle is moving in a potential region given by U=Kx2+y2+z2. The force acting on the particle is given by-

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Important Questions on Work, Energy and Power

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The potential energy of a body is given by, U=A-Bx2 (where x is the displacement). The magnitude of force acting on the particle is,
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The work done by the external forces on a system (internal forces are conservative) equals the change in
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The potential energy of a particle varies with x according to the relation U(x)=x2-4x. The point x=2 is a point of :
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The potential energy function associated with the force F=4xyi^+2x2j^ is :
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One of the forces acting on a particle is conservative then which of the following statement(s) are true about this conservative force
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Potential energy v/s displacement curve for one dimensional conservative field is shown. Force at A and B is respectively.

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A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=kx+a x 3 . Here k and a are positive constants. For x0 , the functional from of the potential energy U(x) of the particle is
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A particle of charge Q and mass m travels through a potential difference V from rest. The final momentum of the particle is: