Physics

Physics

Problem

a. Two identical blocks execute SHM on friction-less horizontal surfaces attached to different springs. For block A, the force constant is kA=100 N m−1k_A = 100\,\text{N m}^{-1} and the amplitude is 0.050 m0.050\,\text{m}. For block B, kB=160 N m−1k_B = 160\,\text{N m}^{-1} and the amplitude is 0.040 m0.040\,\text{m}. (a) Find the ratio of their total mechanical energies EA:EBE_A:E_B. (b) Find the ratio of their maximum restoring forces Fmax,A:Fmax,BF_{\text{max},A}:F_{\text{max},B}. (c) Does the oscillator with the greater total energy also experience the larger maximum restoring force? Answer Yes or No and justify in one sentence. a. Two identical blocks execute SHM on friction-less horizontal surfaces attached to different springs. For block A, the force constant is kA=100 N m−1k_A = 100\,\text{N m}^{-1} and the amplitude is 0.050 m0.050\,\text{m}. For block B, kB=160 N m−1k_B = 160\,\text{N m}^{-1} and the amplitude is 0.040 m0.040\,\text{m}. (a) Find the ratio of their total mechanical energies EA:EBE_A:E_B. (b) Find the ratio of their maximum restoring forces Fmax,A:Fmax,BF_{\text{max},A}:F_{\text{max},B}. (c) Does the oscillator with the greater total energy also experience the larger maximum restoring force? Answer Yes or No and justify in one sentence.

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