The natural frequency of a spring-mass system is found to be (2 mathrm{~Hz}). When an additional mass
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The natural frequency of a spring-mass system is found to be \(2 \mathrm{~Hz}\). When an additional mass of \(1 \mathrm{~kg}\) is added to the original mass \(m\), the natural frequency is reduced to \(1 \mathrm{~Hz}\). Find the spring constant \(k\) and the mass \(m\).
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