Steve measures a spring's stiffness
k dynamically. He hangs a precisely known mass
m from the spring and times its oscillation period
T with a stopwatch whose absolute uncertainty
δT is independent of the duration timed. He then computes
k=4π2m/T2, obtaining uncertainty
δkS. Tiffany measures the
same spring with the
same stopwatch but uses a mass nine times larger. What is her uncertainty
δkT in terms of
δkS?