A student pulls horizontally on two different ideal springs, X and Y

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A student pulls horizontally on two different ideal springs, X and Y, using identical magnitudes of force. Spring X stretches 2.0 cm2.0\,\text{cm}, while spring Y stretches 3.0 cm3.0\,\text{cm}. Which statement best compares the stiffness of the two springs? (a) Spring Y is stiffer than Spring X because it stores more elastic potential energy when stretched by the same force. (b) Both springs have identical stiffness because the pulling forces are identical. (c) Spring X is stiffer than Spring Y because a smaller extension results from the same applied force. (d) Spring X is less stiff than Spring Y because stiffness is proportional to extension for a given force.

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