Physics

Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/390eb3f7014b/2025_11_20_4fb16085cfb86337503bg-11.jpg) 1987M2. The above graph shows the potential energy U(x)U(x) of a particle as a function of its position xx. a. Identify all points of equilibrium for this particle. Suppose the particle has a constant total energy of 4.0 joules, as shown by the dashed line on the graph. b. Determine the kinetic energy of the particle at the following positions i. x=2.0 m\mathrm{x}=2.0 \mathrm{~m} ii. x=4.0 m\mathrm{x}=4.0 \mathrm{~m} c. Can the particle reach the position x=0.5 m\mathrm{x}=0.5 \mathrm{~m} ? Explain. d. Can the particle reach the position x=5.0 m\mathrm{x}=5.0 \mathrm{~m} ? Explain. e. On the grid below, carefully draw a graph of the conservative force acting on the particle as a function of x , for 0<x<70<\mathrm{x}<7 meters.

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