An experimenter fits a straight line to a plot of applied force versus displacement…

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

An experimenter fits a straight line to a plot of applied force

F

versus displacement

\Delta x

for a spring and obtains a slope of

58\,\text{N/m}

with a standard error of

4\,\text{N/m}

. Estimate the spring constant

k

and state the range of values consistent with the reported uncertainty.