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two springs have force constants k 1 and k 2 . Both are stretched till their elastic energies are equal .If the stretching forces are F 1 and F 2 then F 1 : F 2 is
elastic energies are equal hence,0.5k1x1^2 = 0.5k2x2^2k1/k2 = (x1/x2)^2............................(1) F1 = k1x1andF2 = k2x2F1/F2 = k1x1/k2x2 => (k1/k2)^(3/2) {from eqn. (1)}F1:F2 => k1^3/2 : k2^3/2
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