A 125 g pendulum bob hung on a string of length 35 cm has the same period as when the bob is hung from a spring and caused to oscillate.What is the spring's elastic constant?
A) 1.9 N/m
B) 3.5 N/m
C) 5.2 N/m
D) 27 N/m

Question

Quizplus · Accepted Answer

The period of a pendulum is given by T = 2π√(L/g), and the period of a spring-mass system is T = 2π√(m/k). Equating these and solving for k gives k = (mg)/L. Substituting m = 0.125 kg, g = 9.8 m/s², and L = 0.35 m, we find k ≈ 3.5 N/m.

A 125 G Pendulum Bob Hung on a String of Length