A 20 kg object is acted on by a conservative force given by F = -3.0 x - 5.0 x 2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0.

(a) What is the potential energy of the system associated with the force when the object is at x = 3.0 m?

______ J

(b) If the object has a velocity of 2.0 m/s in the negative direction of the x axis when it is at x = 6.0 m, what is its speed when it passes through the origin?
____ m/s

(c) What are the answers to (a) and (b) if the potential energy of the system is taken to be -7.0 J when the object is at x = 0?
(a) _______ J
(b) _______ m/s