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NEET-XII-Physics
exam-1 year:2016
- #39A body of mass 1 kg begins to move under the
action of a time dependent force
``\vec{F}`` = ( ``2 t \hat{i}`` + ``3t^2`` ``\hat{j}`` ) N
where `` \hat{i}`` and ``\hat{j}`` are unit vectors along x and y axis.
What power will be developed by the force at the
time t ?
(1) (``2t^2 + 3t^3``)W
(2) (``2t^2 + 4t^4``)W
(3) (``2t^3 + 3t^4``)W
(4) (``2t^3 + 3t^5``)WdigAnsr: 4Ans : 4
Sol. = +
2ˆ ˆF 2ti 3t j
= +
2dv ˆ ˆm 2ti 3t j
dt
(m = 1 kg)
&implies; = +
v t
2
0 0
ˆ ˆdv (2ti 3t j)dt &implies; = +
2 3ˆ ˆv t i t j
Power =
F.v = (2t3 + 3t5)W