A force is inferred from two independent measurements,

PHYSICS · Multi-part · Fermi University Physics · Scientific Practice & Experimental Methods · Uncertainty in measurement · Uncertainty in measurement

Scientific Computing for Physicists, Ch The uncertainty of a simulated number: inputs, sensitivity and correlated output

Problem

F = ma

, with

m = 5.00 \pm 0.10\,\mathrm{kg}

and

a = 3.00 \pm 0.15\,\mathrm{m\,s^{-2}}

, each evaluated Type A from repeated readings on a separate instrument. ((a)) Find

F

and its linearly propagated uncertainty

u_F

. ((b)) Compute the first-order sensitivity index of

m

and of

a

. ((c)) State which quantity should be remeasured more precisely to reduce

u_F

most.

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