Work Done by a Variable Force
A particle moves along the x-axis under the influence of a force given by F(x) = (6 - x²) N. For the particle’s displacement from x = -2 m to x = 2 m, which of the following statements about the work done by the force is correct?
A
The work is zero because the force is symmetric about the origin
B
The work is negative because the force opposes motion for x > 0
C
The work is positive because the area above the x-axis exceeds the area below it
D
The work cannot be determined without knowing the particle’s mass
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