A body of mass m is thrown at an angle alpha with horizontal. initial velocity is V0.find the mean power developed by gravity over the whole time of motion and the instantaneous power of gravity as function of time.
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The velocity of the body, t seconds after the beginning of the motion becomes ⃗ =⃗ 0+→. The power developed by the gravity (⃗ ) at that moment, is
=⃗ ⋅⃗ =(⃗ ⋅⃗ 0+2)=(−0sin) (1)
As ⃗ is a constant force, so the average power
<≥=⃗ ⋅Δ⃗
where Δ⃗ is the net displacement of the body during time of flight.
⃗ ⊥Δ⃗ so <>=0
Explanation:
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