Power of the only force acting on a particle of mass m = 1 kg moving in a straight line depends on its velocity as P = v 2 where v is in m s -1 and P is in watt. If the initial velocity of the particle is 1 ms -1 , then the displacement of the particle in ln (2) seconds will be
Text Solution
Verified by ExpertsThe correct answer is:
C
P = Fv
v 2 = Fv (since P = v 2 )
therefore F = v
ma = v
v-1=x
v=x+1
ln(x+1)-ln (0+1) = t
x+1=e t
x=e t -1
At t=ln2
x=2-1=1m
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