A 20 kg object is acted on by a conservative force given byF=3.0x - 5.0x2, with F in newtons and x in meters. Take thepotential energy associated with the force to be zero when theobject is at x = 0. (a) What is the potential energy of the systemassociated with the force when the object is at x  2.0 m? (b) Ifthe object has a velocity of 4.0 m/s in the negative direction of thex axis when it is at x = 5.0 m, what is its speed when it passesthrough the origin? (c) What are the answers to (a) and (b) if thepotential energy of the system is taken to be 8.0 J when the objectis at x = 0?

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