The other term involved in determing in the error in the kinetic energy is the e

Question

The other term involved in determing in the error in the kinetic energy is the error in sum of the masses M and m. Equation 1.6 of Lab 1 tells us that (use Delta M for Delta M and Delta m for Delta m), Delta (M +m) / M + m = For addition of subtraction of measured quantities the absolute error of the sum or difference is the 'addition in quadrature' of the absolute errors of the measured quantities, if S = A plus-minus B, Delta s = (( Delta A)2 + ( Delta B)2 This rule, rather than the simple linear addition of the individual absolute errors, incorporates the fact that random errors (equally likely to be positive or negative) partly cancel each other in the error Delta S. For multiplication or division of measured quantities the relative error of the product or quotient is the 'addition in quadrature' of the relative errors of the measured quantities, if S = A times B or A / B Delta S / S = (( Delta A / A)2 + ( Delta B / B)2)

Explanation / Answer

(M+m) = [(M)2+(m)2]

(M+m)/(M+m) = [(M)2+(m)2]/(M+m)

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