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  4. The slope of the kinetic energy versus position vector gives the rate of change of

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Q. The slope of the kinetic energy versus position vector gives the rate of change of

CMC MedicalCMC Medical 2008

Solution:

We know that, kinetic energy (KE) = $ \frac{1}{2}m{{v}^{2}} $ Also, force x displacement = $ \frac{1}{2}m{{v}^{2}} $ $ \Rightarrow $ $ F=\frac{1}{2}m\frac{{{v}^{2}}}{d}=\frac{KE}{d} $ Hence, slope of kinetic energy versus position vector gives the rate of change of force.