The particle has a total mechanical energy of −100 J. At time t = 0, the particle is located at x = 8.0 cm and is moving to the left. 

(a) What is the particle’s potential energy at t = 0? What is its kinetic energy at this time? 

(b) What are the particle’s total, potential, and kinetic energies when it is at x = 2.0 cm? 

(c) Describe the motion of this particle. Does the particle ever turn around and start moving to the right? If so, where does this happen? At what value or range of values of x is its speed the greatest?

A particle is constrained to move along the x-axis. 

The graph describes the potential energy as a function of position.

Transcribed Image Text:

U (I) 4 6 8 10 12 14 x (cm) -200 -400 -600 2.