Two students are discussing an ideal block–spring oscillator undergoing horizontal…
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
Two students are discussing an ideal block–spring oscillator undergoing horizontal simple harmonic motion.
• Student A claims: “At the turning points the kinetic energy is maximum because the block has traveled the farthest.”
• Student B claims: “The potential energy is maximum at the equilibrium position because the spring is moving fastest there.”
Assume no non-conservative forces are present.
(a) Identify and explain any conceptual error in Student A’s statement. Your explanation should explicitly connect the block’s speed, the direction of motion, and the definition of kinetic energy.
(b) Identify and explain any conceptual error in Student B’s statement. In your answer, address the relationship between spring elongation/compression and spring potential energy.
(c) Rewrite both statements so that they are fully correct, using precise scientific language and appropriate energy terminology.
(d) Propose one straightforward experimental observation an introductory-level laboratory could make to distinguish between the students’ incorrect claims and the correct description you provided in part (c). Justify how the observation supports your conclusion.