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An insect of mass m moves up along a han...

An insect of mass m moves up along a hanging stationary thread, with acceleration a. Find the power delivered by the gravity after a time t.

Text Solution

Verified by Experts

Power delivered by gravity at any instant is
`P_g=mvecg*vecv`
where v is the instantaneous velocity of the insect.
Since the insect moves with an upward acceleration a, `v=at`.
Substituting `v=at` in the above expression, we have
P_g=-mgat`
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