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A 0.2kg mass is attached to a vertical hanging spring, stretching it by 10cm. The mass...

A 0.2kg mass is attached to a vertical hanging spring, stretching it by 10cm. The mass is then pulled down an additional 10cm and is released. The amplitude decreases to 5cm in 30s. The spring constant: k= 19.6 N/m, Natural frequency is 9.89 rad/s, damping constant is 0.0092.

a) What is the equation of motion for the mass as a function of time

b)What is the equation for the energy of the mass as a function of time

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