Randall D. Knight — Interactions and Potential Energy: Problem 60

A 100 g particle experiences the one-dimensional, conservative force \(F_x\) shown in FIGURE P10.60. a. Let the zero of potential energy be at \(x = 0 \text{ m}\). What is the potential energy at \(x = 1.0, 2.0, 3.0, \text{ and } 4.0 \text{ m}\)? Hint: Use the definition of potential energy and the geometric interpretation of work. b. Suppose the particle is shot to the right from \(x = 1.0 \text{ m}\) with a speed of \(25 \text{ m/s}\). Where is its turning point?