A1.33 kg object is attached to a horizontal spring of force constant 2.50 n/cm and is started oscillating by pulling it 6.40 cm from its equilibrium position and releasing it so that it is free to oscillate on a frictionless horizontal air track. you observe that after eight cycles its maximum displacement from equilibrium is only 3.70 cm .

(a) how much energy has this system lost to damping during these eight cycles?
(b) where did the "lost" energy go? explain physically how the system could have lost energy.