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 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 = 2\pi \sqrt{\frac{L}{g}} $ and the period of a mass-spring system is $ T = 2\pi \sqrt{\frac{m}{k}} $. Equating the two periods and solving for the spring constant $ k $, we find $ k = \frac{mg}{L} $. Substituting $ m = 0.125 \, \text{kg} $, $ g = 9.8 \, \text{m/s}^2 $, and $ L = 0.35 \, \text{m} $, we get $ k \approx 3.5 \, \text{N/m} $.

A 125 G Pendulum Bob Hung on a String of Length