Two identical mass–spring systems oscillate on frictionless surfaces

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Two identical mass–spring systems oscillate on frictionless surfaces. System X has amplitude 0.05 m0.05\,\text{m}, and system Y has amplitude 0.15 m0.15\,\text{m}. Which statement best describes the comparison of their periods? (a) System Y has a longer period because it travels a greater distance each cycle. (b) The two systems have the same period because period does not depend on amplitude. (c) System X has a longer period because the restoring force is smaller, so it accelerates less. (d) The system with the smaller amplitude experiences a shorter period because only small oscillations follow simple harmonic motion.

Related theory

Browse the problem library