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NEET-XII-Physics

exam-1 year:2016

with Solutions - page 3
  • #39
    A 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``)W
    digAnsr:   4
    Ans : 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