First slide
Work
Question

A force F=(3xy5z)j^+4zk^ is applied on a particle. The work done by the force when the particle moves from point (0, 0, 0) to point (2, 4, 0) as shown in figure is 

Moderate
Solution

The z-component of the force and the x-component of displacement are ineffective here.

dW=Fydy=3xydy

(z=0)

=6x4dx y=x2

Integrating between x = 0 and x = 2 gives the result.

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