Concept:Work done can be positive, negative, or zero depending on the angle between force and displacement.
Explanation:Work done is given by
W=F⋅d⋅cosθ, where
F is force,
d is displacement, and
θ is the angle between them.
If
θ<90∘,
cosθ>0, so work is positive (force and displacement are in the same direction).
If
θ>90∘,
cosθ<0, so work is negative (force and displacement are in opposite directions).
If
θ=90∘,
cosθ=0, so work is zero (force is perpendicular to displacement).
Work also depends on the magnitudes of force and displacement; it is not independent of them.
Therefore, only the statement "Work done can be positive or negative depending on the direction of force" is correct.
Answer:Option B.