(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

Ei = Ef + W

.5KSf^2 = .5 KSi^2 + .5mv^2

3. The attempt at a solution

(a)

.5KSf^2 = .5*165*.07^2 + .5*.2*3^2

.5KSf^2 = 1.304

s = .13m

(b)

Kf+0 = answer from part a, step 2 (in this case 1.304 J)

.5mv^2 = 1.304

v = 3.611 m/s

(c)

I was not sure what to do and have not attempted this part.

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# Homework Help: Energy in a sprin mass system

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