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A particle is taken from point P to poin...

A particle is taken from point P to point Q via the path PAQ and then placed back to point P via the path QBP. Find the work done by gravity on the body over this closed path. Vertical separation between P and Q is h as shown.

Text Solution

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Here, displacement of the particle is PQ, gravity is acting vertically downward. The vertical component of PQ is h (say) upward. Hence
`W_(("PAQ"))="-mgh" ` ...(1)
For the path QBP, component of the displacement along vertical is h ( downward)
In this case,
`W_("(QBP)")="mgh"`
`:.` Total work done `= W_("PAQ")+W_("QBP")=0`
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