CBSE Class 11-science Answered
A particle of mass m is at rest at the origin at time t= 0. Is subjected to a force F(t)= Foe-bt in the x direction. Graphically show the variation of speed with time and justify your answer.
Asked by sarasija123 | 04 Jun, 2018, 08:13: PM
Expert Answer
I assume the force F(t) = F0exp(-b×t)
It is assumed that F0 and b are constants
Acceleration a = dv/dt = F(t)/m = (F0/m)×exp(-b×t)
dv = (F0/m)×exp(-b×t)dt
By integrating above, we get speed, v(t) = (-1/b)(F0/m)×exp(-b×t)
The graph shown below is drawn for the above speed function v(t) by assuming (F0/m)=10 and b=0.5
Answered by Thiyagarajan K | 05 Jun, 2018, 10:26: AM
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