What is the maximum speed in a spring-mass system with low friction?

[redalertkev]

Homework Statement

A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the mass of 3 m/s.

(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?

Homework Equations

The Attempt at a Solution

(a) What is the maximum stretch during the motion?
I got .1745

 

[rock.freak667]

The Attempt at a Solution

(a) What is the maximum stretch during the motion?
I got .1745

I did not check this, but I will assume it is correct.

What is the angular frequency of the oscillation and hence what is the frequency?