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**1. Homework Statement**

A 205 g cube slides down a ramp starting from rest as shown in the figure below. The ramp has a 46° slope. After falling a distance of 92 cm, the cube strikes a spring of spring constant

k = 21 N/m.

Find the maximum compression of the spring when the coefficient of kinetic friction between the cube and the ramp is 0.13.

http://puu.sh/bTjhN/ed172bac4f.png [Broken]

2. Homework Equations

2. Homework Equations

conservation of energy laws

f=ma

**3. The Attempt at a Solution**

I solved for work of friction,

I solved for work of friction,

**the work of gravity and the work of spring (d is vertical distance of 92cm and x is the distance of compression)**http://puu.sh/bTjoU/221afafc3f.png [Broken]

I then used the conservation of energy law to piece together my 3 equations

http://puu.sh/bTjw6/e9c0236b16.png [Broken]

apparently my equation didn't match with the answer's. Can someone please tell me why?? and what did I miss??

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