Please solve this conservation of energy problem?

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Please solve this conservation of energy problem?

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Answer 1 · 2018-03-07T19:44:18

$(2)$ $(2)$

Explanation:

Assuming the origin of coordinates at the initial rest point we have

$\frac{1}{2} k_{1} x^{2} + \frac{1}{2} k_{2} x^{2} = \frac{1}{2} k_{1} {(\frac{x}{2})}^{2} + \frac{1}{2} k_{2} {(\frac{x}{2})}^{2} + \frac{1}{2} m v^{2}$ $1/2k_1x^2+1/2k_2 x^2=1/2k_1 (x/2)^2+1/2k_2(x/2)^2+1/2m v^2$

After simplifications we obtain

$v = \sqrt{\frac{3 (k_{1} + k_{2}) x^{2}}{4 m}}$ $v = sqrt((3(k_1 + k_2) x^2)/(4m))$

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Please solve this conservation of energy problem?

![https://useruploads.socratic.org/dM4gXmsrSZ6isoDUuGwx_imp4.jpg]() Answer is 2

1 Answer

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