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QUESTION

Consider a spring-mass system with the mass being 4kg. The spring has a coefficient of stiffness of 16 N/m. The spring is initially stretched to 10cm. Given that the maximum stretch is 12cm, what is t

Consider a spring-mass system with the mass being 4kg. The spring has a coefficient of stiffness of 16 N/m. The spring is initially stretched to 10cm. Given that the maximum stretch is 12cm, what is the initial speed? (Corresponding to a 10 cm stretch)?

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ANSWER

\(1/2×k×e²=1/2×m×v²\)

\(1/2×16×(10/100)^2=1/2×4×v²\)

\(0.08=2v²\)

\(0.04=v²\)

\(v=0.2m/s\)

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