A horizontal spring is attached to a fixed wall on the left, with a spherical mass on a frictionless surface on the right. Three positions of the mass–spring system are shown: the top drawing is the left extreme of motion with the spring fully compressed, the middle drawing is the midpoint of travel (equilibrium), and the bottom drawing is the right extreme with the spring fully stretched. Indicate on the drawings the following.

Question

A horizontal spring is attached to a fixed wall on the left, with a spherical mass on a frictionless surface on the right. Three positions of the mass–spring system are shown: the top drawing is the left extreme of motion with the spring fully compressed, the middle drawing is the midpoint of travel (equilibrium), and the bottom drawing is the right extreme with the spring fully stretched. Indicate on the drawings the following.(a) Mark on the drawings the points where the velocity is greatest and the points where the velocity is least.
, (b) Mark on the drawings the points where the acceleration is greatest and the points where the acceleration is least.
, (c) Mark on the drawings the points where the potential energy and kinetic energy are each at their greatest and at their least values.
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Jason · Accepted Answer

$v_{\text{max}} \text{ at equilibrium; } v_{\text{min}} \text{ at both extremes}$
$a_{\text{max}} \text{ at both extremes; } a_{\text{min}} \text{ at equilibrium}$
$U_{\text{max}} \text{ at both extremes; } U_{\text{min}} \text{ at equilibrium}; \; K_{\text{max}} \text{ at equilibrium; } K_{\text{min}} \text{ at both extremes}$

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