Block $ 1 $ of mass $ m_1 $ and Block $ 2 $ of mass $ m_2 = 2 m_1 $ are each attached to identical horizontal springs. Each block is displaced from equilibrium by an unknown amount and the blocks are released from rest simultaneously, undergoing simple harmonic motion. A student claims that Block $ 1 $ will make its first return to its equilibrium position before Block $ 2 $ first returns to its equilibrium position. Is this claim correct? Why or why not?

Question

Block $ 1 $ of mass $ m_1 $ and Block $ 2 $ of mass $ m_2 = 2 m_1 $ are each attached to identical horizontal springs. Each block is displaced from equilibrium by an unknown amount and the blocks are released from rest simultaneously, undergoing simple harmonic motion. A student claims that Block $ 1 $ will make its first return to its equilibrium position before Block $ 2 $ first returns to its equilibrium position. Is this claim correct? Why or why not?(a) Yes, because the maximum force exerted by the spring on Block $ 1 $ is less than that exerted on Block $ 2 $.
, (b) Yes, because the period of oscillation for Block $ 1 $ is less than that of Block $ 2 $.
, (c) No, because the initial displacements of the blocks are unknown.
, (d) No, because the springs are identical.
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