The percentage uncertainty in the distance is 0.054%.
Uncertainty in a measurement measures the deviation of the measured values from the true value.
The distance d can be expressed in the form d+/-Δd, where Δd is the absolute uncertainty in the measurement of distance.
The percentage uncertainty is given by,
[tex]Percentage uncertainty=\frac{\Delta d}{d} *100[/tex]
The uncertainty in the measurement of distance is 23 m. Express the uncertainty in km.
[tex]\Delta d =\frac{23 m}{1000 m/km} =0.023 km[/tex]
Calculate the percentage uncertainty in the distance.
[tex]\frac{\Delta d}{d} *100 =\frac{0.023 km}{42.188 km} *100=0.054 %[/tex]
Thus, the percentage uncertainty in the measurement of distance is 0.054%
