If-there-is-a-positive-error-in-the-measurement-of-velocity-of-a-body-then-the-error-in-the-measure-ment-of-kinetic-energy-is-

Question Number 126603 by Ar Brandon last updated on 22/Dec/20

If there is a positive error in the measurement

of velocity of a body, then the error in the measure -

ment of kinetic energy is

Answered by Olaf last updated on 22/Dec/20

E = \frac{1}{2} {m v}^{2}

lnE = \ln \frac{1}{2} + \ln m + 2 \ln v

\frac{d E}{E} = 2 \frac{d v}{v}

\frac{Δ E}{E} = 2 \frac{Δ v}{v}

The relative error in the measurement

of the kinetic energy is the double of

the relative error in the measurement

of the velocity

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