# Work done by variable forces

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A particle in a certain conservative  force field has a p.e u= 20xy/ z . The force exerted  on it

Ans - ( 20y/z) icap - (20x/z )jcap +( 20xy / z2 )kcap

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Key concept to solve this:

Potential Energy Function:  If a force acting on an object is a function of position only, it is said to be a conservative force, and it can be represented by a potential energy function which for a one-dimensional case satisfies the derivative condition

-dU/dx = F(x)

We have given U = 20xy/ z

Now taking the derivative of U w.r.t x,y and z we get,

Fx = -20y/z, Fy = -20x/z, and Fz = 20xy/z2

Now adding all we get the final force, i.e

F = -(20y/z)i-(20x/z)j+(20xy/z2)k.

commented by (2.6k points)
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Thanks for the crystal clear answer.  All the very best my best wishes  with you . You will achieve  great success  in your   life..
commented by (14.6k points)
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Thanks for the best wishes and I wish the same for you:)