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## Homework Statement

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A 1 kg object is connected to a horizontal massless spring. The spring is initially stretched by 0.1m and the object is released from rest there. It proceeds to move without friction. The next time the speed of the object is 0 is 0.5s later.

Determine the maximum speed of the object, the spring constant, and the mechanical energy of the system.

## Homework Equations

T = 2pi(m/k)^1/2

v(t) = -wx sin(wt + phase constant)

w = 2pi/T

## The Attempt at a Solution

Hmm I don't really know where to start with finding the max velocity to be honest. Probably with the second formula I posted, but I'd have to find w first, and I don't know how to find that without T (period) or frequency.