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rolodexx

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**[SOLVED] Maximum speed of object between 2 springs**

## Homework Statement

A 1.50 kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.00 cm, and then is released from rest.

(I solved part A, B is: What is the maximum speed the box will reach?)

## Homework Equations

K[tex]_{i}[/tex] + EPE[tex]_{i}[/tex] = K[tex]_{f}[/tex] + EPE[tex]_{f}[/tex]

.5mv[tex]^{2}[/tex] [tex]_{i}[/tex] + .5k[tex]_{i}[/tex]x[tex]_{i}[/tex] [tex]^{2}[/tex] = .5mv[tex]^{2}[/tex][tex]_{f}[/tex] + .5k[tex]_{f}[/tex]x[tex]^{2}[/tex][tex]_{f}[/tex]

(sorry about the messed-up subscripts; I can't make it work right)

## The Attempt at a Solution

I solved for x[tex]_{}f[/tex] first, obtaining the correct answer of 5.66 cm.

I then plugged in values for the other variables: m of 1.5 kg, initial velocity of 0 (because it started from rest?), initial k of 32 N/m, initial x of 4 cm, final k of 16 N/m, final x of 5.66 cm. I converted cm to m and tried to solve for final velocity, but I got .062 m/s and it's supposed to be 1.85 (I got it wrong enough times that it gave me the answer, I just don't know how to solve for it).

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