Three identical horizontal springs lie on a frictionless surface
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power
Problem
Three identical horizontal springs lie on a frictionless surface. Each spring has the same spring constant k. Spring A is compressed 4cm from its natural length. Spring B is stretched 4cm beyond its natural length. Spring C is stretched 2cm beyond its natural length.
Answer the following questions. Use verbal reasoning and, where helpful, symbolic expressions. No numerical calculation of Us is required.
(a) Rank the magnitudes of the elastic potential energy stored in the three springs from greatest to least. If any are equal, indicate that explicitly.
(b) Provide a qualitative explanation for your ranking. In your explanation, refer to the defining features of elastic potential energy and comment on why compression and extension of equal magnitude lead to the same stored energy.