Question

How much mass should be attached to a vertical ideal spring having a spring constant (force constant)of 39.5 N/m so that it will oscillate at 1.00 Hz?A) 39.5 kgB) 2.00 kgC) 1.00 kgD) 1.56 kgE) 6.29 kg

Answer 1

m = 1 kg

Step-by-step explanation:

Given that,

The force constant of the spring, k = 39.5 N/m

The frequency of oscillation, f = 1 Hz

The frequency of oscillation is given by the formula as formula as follows :

`f=(1)/(2\pi)\sqrt{(k)/(m)} \\\\f^2=(k)/(4m\pi^2)\\\\m=(k)/(4\pi^2 f^2)\\\\m=(39.5)/(4\pi^2 * (1)^2)\\\\m=1\ kg`

So, the mass that is attached to the spring is 1 kg.