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

A block of mass m = 2.0 kg is dropped from height h = 55 cm onto a spring of spring constant k = 1960 N/m. Find the maximum distance the spring is compressed.

2. Relevant equations

[tex]\Delta K+ \Delta U_G+ \Delta U_S=0[/tex] \change in kinetic energy+change in gravitational energy+change in spring energy=0

[tex]\Delta K=0[/tex]

[tex]U_{Gf}-U_{Gi}+U_{Sf}-U_{Si}=0[/tex]

[tex]U_{Si}=0[/tex] can be assumed

so

[tex]U_{Sf}=U_{Gi}-U_{Gf}[/tex]

3. The attempt at a solution

resumed from above:

[tex]\frac {kx_f^2}{2}=mgy_i-mgy_f[/tex]

so: [tex]\frac {kx_f^2}{2}=mgy_i-mgx_f[/tex]

With this I have tried over and over to solve for [tex]x_f[/tex] but I cannot find any way of getting [tex]x_f[/tex] by itself.

edit:LaTeX formatting

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# Homework Help: Conservation of Energy

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