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Total mechanical work, solving for x 
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#1
Dec1512, 05:32 PM

P: 1,306

1. The problem statement, all variables and given/known data
I understand the problem conceptually. I just need help solving for x, which is the hardest part of the problem for me. 1/2mv^2 = 1/2kx^2 + umgx 3. The attempt at a solution Not really sure how to solve this. I tried and tried to separate by x but nothing worked. Here are 1 of the attempts I suppose. I feel pretty stumped here. [tex]1/2mv^2 = 1/2kx^2 + umgx[/tex] [tex]1/2mv^2  umgx = 1/2kx^2[/tex] [tex]\frac{mv^2}{k}  \frac{2umgx}{k} = x^2[/tex] ??? 


#2
Dec1512, 05:38 PM

Mentor
P: 11,813

Looks like you've got a quadratic equation in x on your hands. Sound familiar?



#3
Dec1612, 06:47 PM

P: 1,306




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