Two ideal springs with force constants and are connected in series to a block on a…

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

Two ideal springs with force constants 100 N m−1100\,\text{N\,m}^{-1} and 200 N m−1200\,\text{N\,m}^{-1} are connected in series to a 1 kg1\,\text{kg} block on a frictionless horizontal surface. The system is pulled so that the block is displaced 0.15 m0.15\,\text{m} from its equilibrium position and then released from rest. What is the maximum speed attained by the block? (a) 1.50 m s−11.50\,\text{m\,s}^{-1} (b) 2.60 m s−12.60\,\text{m\,s}^{-1} (c) 1.22 m s−11.22\,\text{m\,s}^{-1} (d) 0.87 m s−10.87\,\text{m\,s}^{-1}

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