Potential energy: 4. A particle moves along a line where the potential energy, U, depends on its position as shown in the diagram below.
a. Identify points of equilibrium (i.e., zero force), and state whether they are stable, unstable, or neutral.
b. Where is the force on the particle a maximum, and is it to the left or the right at this point?
c. If the particle has -3 J of total energy, what is its kinetic energy if it is at point r = 2 mm?
d. The particle is released at position r = 1 m with 5 J of kinetic energy. It is initially travelling to the right. Describe the subsequent motion of the particle.