Figure 1 shows the potential energy associ- ated with a conservative force F(x). 1. A particle of mass m₁ = 1 kg is undergo- ing F(x) and no other forces. The me- chanical energy of the system is 9 J. (a) What is the sign of the force as a function of x? (b) Where are the turning points of the system (if any)? (c) where are the equilibrium points of the system (if any)? are they stable? U (J) 10 8 6 4 2 02 4 6 8 10 x (m) Figure 1: Potential energy of a conservative (d) what is the velocity of the particle force F(x). at x = 4m? 2. Describe the motion of a second particle of mass m2 = 2 kg with initial velocity vo = -1 ms¹ and initial position xo = 3 m.