First slide
Work
Question

A force of  F=(2xy3z)j^8zk^ is applied on a particle. The work done by the force in displacing the particle from (0,0,0) to (2,4,0) as shown in figure is _______

Moderate
Solution

y=2x2dy=4xdxW=Fdr=[(2xy3z)j^8zk^](dxi^+dyj^+dzk^)W=2x2x2dy043zdy008zdzW=402x3×4xdx3z(2,4,0)(0,0,0)dy8z200W=1602x4dx00W=16x5502=16×325=5125=102.5J

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