Find the expresstion of potential energy `U(x,y,z)` for a conservative force in a force field where force is given as `vec(F)=yzhat(i)+xyhat(k)` Consider the zero of the potential energy chosen at the point (2,2,2).
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WORK, ENERGY AND POWER
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A conservative force in a region is given by vec F=(A/x^3)hati .An expression for the potential energy in the region, assuming the potential at infinity to be zero, is
The potential energy for a conservative force system is given by U=ax^(2)-bx . Where a and b are constants find out (a) The expression of force (b) Potential energy at equilibrium.
The relation between conservative force and potential energy U is given by :–
The potential energy U for a force field vec (F) is such that U=- kxy where K is a constant . Then
A potential energy function for a two-dimensional force is the form U=3x^2y-7x . Find the force that acts at the point (x,y) .
Figure shows a plot of the conservative force F in a unidimensional field. The plot representing the function corresponding to the potential energy (U) in the field is
The potential energy function of a particle in a region of space is given as U=(2xy+yz) J Here x,y and z are in metre. Find the force acting on the particle at a general point P(x,y,z).
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