Solving Damped Oscillator: Time to Reduce to 0.50 Energy

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To solve the damped oscillator problem, start by understanding the relationship between amplitude reduction and energy loss. The energy of a damped oscillator decreases exponentially, and the formula for energy at any time can be expressed in terms of the initial energy and the damping factor. Given the amplitude reduction factor of 0.96, calculate the time it takes for the energy to reach half its initial value using the decay formula. For the resonance frequency question, use the formula f = (1/2π)√(k/m), where k is the spring constant and m is the mass. This approach will provide a solid foundation for tackling both problems effectively.
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hi,
i am supposed to solve this excerise and i don't even know where to start.

A mass M is suspended from a spring and oscillates with a period of 0.880 s. Each complete oscillation results in an amplitude reduction of a factor of 0.96 due to a small velocity dependent frictional effect. Calculate the time it takes for the total energy of the oscillator to decrease to 0.50 of its initial value.

even the relevant formulas...
 
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the same of this one

A 1.05 kg mass is suspended from a spring, with a spring constant of 161.0 N/m. Find the driving frequency which would cause resonance.

all i need is to know where to start from
 
hi
could some one give me an outline for the first question?
i am have no idea what to do.
and i have a test
 

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