Question

A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant (in N/m) is needed to produce a period of 0.660 s for a 0.0100 kg mass?

Answer 1

Answer:0.906 N/m

Explanation:

Given

time period $T=0.66 s$

mass $m=0.01 kg$

System can be considered as spring mass system

Time Period of spring mass system is given by

$T=2\pi \sqrt{\frac{m}{k}}$

squaring

$k=\frac{4\pi ^2m}{T^2}$

$k=\frac{4\times \pi ^2\times 0.01}{0.66^2}$

$k=0.906 N/m$