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If the force acting on a body is inversely proportional to its speed, then its kinetic energy isA. linearly related to timeB. inversely proportional to timeC. inversely proportional to the square of timeD. a constant |
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Answer» Correct Answer - A `Fprop1/v,F=C/v` Where C is a constant of proportionality. `implies ma=C/v " or" m(dv)/(dt)=C/v` `vdv=(Cdt)/m` Integrating both sides , we get `v^2/2 =(Ct)/m "or" 1/2 mv^2=Ct` or Kinetic energy, `K=1/2 mv^2=Ct "or" K prop t` |
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