We move a particle along an x axis, first outward from x = 1.0 m to x = 4.0 m and then back to x = 1.0 m, while an external force acts on it. That force is directed along the x axis, and its x component can have different values for the outward trip and for the return trip. Here are the values (in newtons) for four situations, where x is in meters:

Outward Inward
(a) +3.0 -3
(b) +s.0 +5
(c) + 2.0x                                                                                -2.0x
(d) + 3.0x2                                                                              +3.0x2

Find the net work done on the particle by the external force for the round trip for each of the four situations. (e) For which, if any, is the external force conservative?

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