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