Answer:
k = 25.18 N/m
Explanation:
Simple Harmonic Oscillator
It consists of a weight attached to one end of a spring being allowed to move forth and back.
If m is the mass of the weight and k is the constant of the spring, the period of the oscillation is given by:
[tex]\displaystyle T=2\pi {\sqrt {\frac {m}{k}}}[/tex]
If the period is known, we can find the value of the constant by solving for k:
[tex]\displaystyle k=m\left(\frac{2\pi}{T}\right)^2[/tex]
Substituting the given values m=5 Kg and T=2.8 seconds:
[tex]\displaystyle k=5 \left(\frac{2\pi}{2.8}\right)^2[/tex]
k = 25.18 N/m
