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  • Work Done by a Constant Force: Definition, Formula & Units
    Force × displacement is the work done on a body.

    Work done is a scalar quantity. Its SI unit is joule(J).

    Other units of work done are:

    1 erg = 10−7 J

    1 kWh = 3.6 × 106 J

    When a constant force F acts on a body through a displacement d, the work done

    $$W = Fd$$

    W = Work done

    F = Force

    d = Displacement in the direction of the force

    If displacement d makes an angle θ with the force F, then we have,

    $$W = Fd\cos\theta$$

    If the displacement is made in the opposite direction of the force, then θ = 180 and hence work done

    W = Fd cos θ = - Fd

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