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Ok, I figured it out. I just forgot the formula for springs in series, 1/k = 1/k1 + 1/k2. Since L1 = nL2, k2 = nk1. 1/k = 1/k1 + 1/nk1. 1/k = n+1/nk1. k = nk1/n+1. k1 = k(n+1)/n. Solving for k2, 1/k = n/k2 + 1/k2. 1/k = n+1/k2. k = k2/n+1. k2 = k(n+1).

A uniform spring whose unstretched length... A uniform spring whose unstretched length is L has a spring constant k. the spring is cut into two pieces of unstretched lengths L1 and L2, with L1 = nL2. What are the corresponding spring constants k1 and k2 in terms of n and k? The answer is k1...