A force \( \vec{F}=(3 x y-5 z) \hat{j}+4 z \hat{k} \) is applied on a particle. The work done by...
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A force \( \vec{F}=(3 x y-5 z) \hat{j}+4 z \hat{k} \) 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
(1) \( \frac{280}{5} \) units
(2) \( \frac{140}{5} \) units
(3) \( \frac{232}{5} \) units
(4) \( \frac{192}{5} \) units
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