Two identical blocks are attached to separate horizontal springs on a frictionless surface
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
Two identical blocks are attached to separate horizontal springs on a frictionless surface. System A has spring constant kA, while System B has spring constant kB=2kA. Each block is pulled the same distance A0 from its equilibrium position, released from rest, and allowed to oscillate.
Assume no dissipative forces act on either system.
(a) Without carrying out numerical calculations, determine which system possesses the greater total mechanical energy. Clearly explain your reasoning.
(b) When the blocks pass through their respective equilibrium positions for the first time after release, which block has the greater speed? Justify your answer using energy considerations.
(c) For one of the systems, describe the relationship between its maximum kinetic energy and its total mechanical energy, and explain why that relationship holds.