Which of the following expressions gives the work done by a particle moving from…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Which of the following expressions gives the work done by a particle moving from position xix_i to xfx_f under a force F(x)F(x) acting along the xx-axis? (a) 12[F(xi)+F(xf)](xf−xi)\displaystyle\frac{1}{2}\left[ F(x_i)+F(x_f) \right] (x_f-x_i) (b) ∫xfxiF(x) dx\displaystyle\int_{x_f}^{x_i} F(x)\,dx (c) ∫xixfF(x) dx\displaystyle\int_{x_i}^{x_f} F(x)\,dx (d) F(xi) (xf−xi)F(x_i)\,(x_f-x_i)

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