A particle with a mass of 2.00 kg moves along the x axis. Initially, the particle's positionis x = 1.00 m and its speed is 4.00 m/s. The graph below shows the potential energy ofthe particle vs. position. Assume that the total mechanical energy of the particle isconserved throughout its motion.+ U (Joules)20.0(a) What is the totalmechanical energy of theparticle (E = K + U), inunits of Joules (J)?15.0 –10.05.00x (meters)1.002.003.004.00-5.00(b) What is the speed of the particle when it is located at x = 2.00 meters? Giveyour answer in meters per second (m/s).(c) What are the equilibrium positions of the particle? For each equilibriumposition, determine whether it is stable or unstable.

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