The figure below shows the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0 m. U (J) 6+ 5 4 N 3 2 1 = 0 0 1 2 3 4 5 6 7 -x (m) (a) What is the particle's total mechanical energy? (b) Will the particle move to the right or to the left once it is released? To justify your answer, use the fact that the x-component of the force on the particle, Fr, is Fx -dU d.x (c) What is the particle's maximum speed? At what position does it have this speed? (d) Where are the turning points of the motion?

Please explain answers and include work. Please write the explanations and work out to make them easy to follow and understand.