Two light springs of force constants and are connected in series to support a mass

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Two light springs of force constants 100 N m−1100\,\text{N}\,\text{m}^{-1} and 150 N m−1150\,\text{N}\,\text{m}^{-1} are connected in series to support a 0.25 kg0.25\,\text{kg} mass. The mass is displaced by 0.04 m0.04\,\text{m} from the equilibrium position and released. (i) Find the effective force constant of the spring system. (ii) Calculate the magnitude of the restoring force acting on the mass at this displacement.

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