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I get something similar, so you might want to check:

v^{2}= (1/M)*(-k*x^{2}+ 2*(m1*g - Ff)*x

where: M = m1 + m2

Which, when values are plugged in, boils down to

v^{2}= -33.33(N/kg/m)*x^{2}+ 0.1380(N/kg)*x

I think it must be an equivalent form.

I got that it was the square root of 1/3. I've had this confirmed by 2 people now.

Edit: Nope, you're right. Using exact values, it still works out to be the square root of 1/3.

Well... I tried it using the form you got. I got slightly more than the square root of 1/3. However, I just saw the same question done using de Moivre's theorem, and the answer was the square root 1/3.

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