1. The problem statement, all variables and given/known data A damped mass-spring system oscillates at 285 Hz. The time constant of the system is 8.8 s. At t = 0 the amplitude of oscillation is 1.3 cm and the energy of the oscillating system is 36 J. Part 1: What is the amplitude of oscillation at t = 8.7 s? Answer in units of cm Part 2: How much energy is dissipated in the ﬁrst period (8.7 s interval)? Answer in units of J Part 3: How much energy is dissipated in the second period (8.7 s interval)? Answer in units of J 2. Relevant equations A = A(initial) * e-(t/time constant) E = E(initial) * e-(t/time constant) I followed the method of the attached picture and couldn't get the correct answer. 3. The attempt at a solution Part 1: Answered correctly: A(8.7 s) = (1.3 cm) * e-(8.7/8.8) = 0.4837088518 cm Part 2: Change in mechanical energy between 0 and 7.8 seconds: ΔE = -E(initial) * (e-(8.7/8.8) - e-(0/8.8)) ΔE = -(36 J) * (e-(8.7/8.8) - 1) ΔE = 22.604985 J Which was incorrect Part 3: ΔE = -(36 J) * (e-(17.4/8.8) - e-(8.7/8.8)) ΔE = 8.4109474 J Which was also incorrect.