A horizontal spring-mass system has low friction, spring stiffness 165 N/m, and mass 0.2 kg. The system is released with an initial compression of the spring of 7 cm and an initial speed of the mass of 3 m/s.
(a) What is the maximum stretch during the motion?
(b) What is the maximum speed during the motion?
(c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation?
Ei = Ef + W
.5KSf^2 = .5 KSi^2 + .5mv^2
The Attempt at a Solution
.5KSf^2 = .5*165*.07^2 + .5*.2*3^2
.5KSf^2 = 1.304
s = .13m
Kf+0 = answer from part a, step 2 (in this case 1.304 J)
.5mv^2 = 1.304
v = 3.611 m/s
I was not sure what to do and have not attempted this part.