Two identical mass–spring systems, A and B

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Two identical mass–spring systems, A and B, oscillate on frictionless surfaces. System A is released from rest at displacement +0.03 m+0.03\,\text{m}, while system B is released from rest at displacement +0.06 m+0.06\,\text{m}. How does the time each system takes to reach the equilibrium position for the first time compare? (a) System A takes half as much time as system B. (b) System A takes 12\sqrt{\dfrac{1}{2}} as much time as system B. (c) System A takes the same time as system B. (d) System A takes twice as much time as system B.

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