A body of mass 3 kg is under a force, which causes a displacement in it given by S = Image not present (in m). Find the work done by the force in first 2 seconds
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A body of mass 3 kg under constant force which causes a displacement s in meters in it given by s=13t2 work done by the force in 2 seconds is
(a)83J(b)195J(c)519J(d)38J
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A)
s=13t2=>dsdt=23t
acceleration =a=d2sdt2
=23m/s2
Force =m×a
=3×23=2N
ds=23tdt
Work done =∫Fds
W=F∫0t23tdt
=2×23×t22∣∣20
=43×42
=83J
Hence a is the correct answer.
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