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

Step-by-step 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{(m)/(k)}`

squaring

`k=(4\pi ^2m)/(T^2)`

`k=(4* \pi ^2* 0.01)/(0.66^2)`

`k=0.906 N/m`