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 is needed to produce a period of 0.320 s for a 0.0190-kg mass?

k = 7.32 N/m

Explanation:

We know that the time period of a spring mass system is given as follows:

T = 2π√(m/k)

T² = 4π²m/k

k = 4π²m/T²

where,

k = force constant = ?

m = mass = 0.019 kg

T = Time Period = 0.32 s

Therefore,

k = 4π²(0.019 kg)/(0.32 s)²

k = 7.32 N/m