Question

One kind of cuckoo clock keeps time by using a mass bouncing on a spring, usually something cute like a cherub in a chair. In accordance with expert ta's terms of service. copying this information to any solutions sharing website is strictly forbidden. doing so may result in termination of your expert ta account. show answer no attempt what is the force constant, in newtons per meter, needed to produce a period of 0.25 s for a 0.018-kg mass on the spring?

Answer 1

To find the force constant needed to produce a period of 0.25 s for a 0.018-kg mass on a spring, we can use the formula T = 2π√(m/k). Rearranging the formula and plugging in the given values will give us the force constant k.

Step-by-step explanation:

The force constant, also known as the spring constant, is a measure of how stiff a spring is. It is denoted by the letter k. In this problem, we are given the period T of the oscillations and the mass m of the cherub clock, and we need to find the force constant k. The formula relating the period, mass, and force constant of a mass-spring system is: T = 2π√(m/k).

Plugging in the given values, we have: 0.25 s = 2π√(0.018 kg/k). Rearranging the formula to solve for k, we get: k = (2π)^2 x (0.018 kg) / (0.25 s)^2. Evaluating this expression gives us the force constant k.