1 Answer

Sergey Podobry · Answer 1 · 2021-01-13T08:54:19+0000

Answer:

k = 25.18 N/m

Step-by-step 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:

$\displaystyle T=2\pi {\sqrt {\frac {m}{k}}}$

If the period is known, we can find the value of the constant by solving for k:

$\displaystyle k=m\left((2\pi)/(T)\right)^2$

Substituting the given values m=5 Kg and T=2.8 seconds:

$\displaystyle k=5 \left((2\pi)/(2.8)\right)^2$

k = 25.18 N/m

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