Springs A and B are attached in parallel between a ceiling hook and a junction point

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Springs A and B are attached in parallel between a ceiling hook and a junction point. Spring C is then connected in series between that junction point and a 6.0 kg6.0\,\text{kg} block hanging at rest. The force constants are kA=80 N ⁣⋅ ⁣m−1k_A = 80\,\text{N}\!\cdot\!\text{m}^{-1}, kB=120 N ⁣⋅ ⁣m−1k_B = 120\,\text{N}\!\cdot\!\text{m}^{-1}, and kC=50 N ⁣⋅ ⁣m−1k_C = 50\,\text{N}\!\cdot\!\text{m}^{-1}. Using g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}, calculate: • the extension of spring C • the common extension of each of springs A and B Provide both values in meters.

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