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Two springs of spring constants k₁ and k₂ are joined in series. The effective spring constant of the combination is given by:

1. k₁k₂/(k₁ + k₂)
2. k₁k₂
3. (k₁ + k₂)/2
4. k₁ + k₂

Correct answer: k₁k₂/(k₁ + k₂)

Solution

When two springs are connected in series, the effective spring constant is given by the reciprocal sum formula: 1/k_eff = 1/k₁ + 1/k₂. Simplifying this gives k_eff = k₁k₂ / (k₁ + k₂).

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