An object on a frictionless horizontal surface experiences a net horizontal force…

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

Problem

An object on a frictionless horizontal surface experiences a net horizontal force that depends on its displacement xx (in meters) from point OO: F(x)={−30x(x≤0)30(x−0.04)(0<x≤0.08)F(x)=\begin{cases} -30x & (x\le 0) \\ 30(x-0.04) & (0<x\le 0.08) \end{cases} (a) Determine all values of xx at which the object can be in equilibrium. (b) For each equilibrium point, state whether it is stable or unstable, and justify your answer by referring to the direction of the force for small displacements.

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