1.

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

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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