PHYS1230: General Physics Problems Recall that the position of the minimum or maximum of a function U(x) is determined by du(x) = 0 dx va revis ed ofwillw bessbox F) Determine an expression for the force F(x) as a function of x. H) For what value of x is the force on the particle zero? NPractice 7: Potential Energy & Energy Conservation Consider a conservative force F(x) acting on a particle of mass m = 1.0 kg that moves along the x-axis. The potential energy U(x) associated with F(x) is given by U(2c) = -4xe-2/4J where x represents the position of the particle in meters. At x = 5.0 m the particle has a kinetic energy of 2.0 J. Conceptual analysis: The force is conservative which implies that the total mechanical energy is a constant (E=const). We know that the total mechanical energy is determined by E = K + U, where K is the particle's kinetic energy and U is its potential energy. A) What is the mechanical energy E of the system? Hint: Use the value of the kinetic energy at x = 5 m and the function U(x) to find E. B) Use some graphing software, make a plot of U(x) as a function of x for 0