A block is pushed against an ideal spring with spring constant \(k\), compressing it a distance \(x\) from its equilibrium position. Two students are debating how the energy stored in the spring, \(U_s\), scales with the physical properties of the system. Student 1 claims that since the force required to hold the spring at that position is \(F_s = kx\), the energy stored must be proportional to the force \(F_s\). Student 2 claims that the energy stored must be proportional to the square of the compression distance, \(x^2\). Which of the following correctly evaluates the students' claims? • Nerd Notes

AP Physics 1

3.3 Potential Energy

3.2 Work

2.8 Spring Forces

Multi-Unit

AdvancedMCQProportional AnalysisConceptual18.6k

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