A glider is attached to an ideal horizontal spring and oscillates with amplitude

PHYSICS · Single correct · AP · Physics C: Mechanics · Oscillations · Oscillations

Problem

A 0.40 kg0.40\,\text{kg} glider is attached to an ideal horizontal spring and oscillates with amplitude 0.080 m0.080\,\text{m}. When the glider is 0.050 m0.050\,\text{m} from equilibrium, its speed is measured to be 0.90 m ⁣⋅ ⁣s−10.90\,\text{m}\!\cdot\!\text{s}^{-1}. What is the spring constant of the spring? (a) 5.1×101 N ⁣⋅ ⁣m−15.1\times10^{1}\,\text{N}\!\cdot\!\text{m}^{-1} (b) 1.6×102 N ⁣⋅ ⁣m−11.6\times10^{2}\,\text{N}\!\cdot\!\text{m}^{-1} (c) 8.3×101 N ⁣⋅ ⁣m−18.3\times10^{1}\,\text{N}\!\cdot\!\text{m}^{-1} (d) 3.6×101 N ⁣⋅ ⁣m−13.6\times10^{1}\,\text{N}\!\cdot\!\text{m}^{-1}

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