Please solve this conservation of energy problem?

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Answer 1 · 2018-03-07T19:44:18

#(2)#

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

#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((3(k_1 + k_2) x^2)/(4m))#