Two springs of constants k₁ and k₂ are connected in series. Their equivalent spring constant is:
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Two springs of constants k₁ and k₂ are connected in series. Their equivalent spring constant is:

G1 Physics · Accepted Answer

Step 1 — Principle: Springs in series have equal force and their extensions add. Step 2 — Working: For springs in series the force F is common; total extension x=F/k₁+F/k₂. Step 3 — Working: Hence 1/kₑq=1/k₁+1/k₂ and kₑq=k₁k₂/(k₁+k₂). Correct answer: D — k₁k₂/(k₁+k₂).