Work

Key Questions

  • Answer:

    Through an equation.

    Explanation:

    Work is represented by the equation,

    #W=F*d#

    • #F# is the force in newtons

    • #d# is the distance moved in meters

    Now, the distance moved is also the displacement of the object. If the object doesn't move, even if #10# millions newtons of force was applied, there'll still be no work done.

    But, if an object moves, then work is done.

  • Answer:

    Work done defined as the scalar product of the two vectors force and displacement.

    Explanation:

    If a force #vecF# acts on a body and displaces it through #vecr# and the angle between the two vectors be #theta#. The work done by the force is given as,

    #W = vecF*vecr#
    #implies W = FrCos theta#, where #F# and #r# are the magnitudes of #vecF# and #vecr# respectively.

  • Answer:

    #color(green)(W = F cos theta * d#, Newton meter

    Explanation:

    F = Force, d = displacement

    Work done = Force * Displacement

    #W = vec F * vec d#

    Force and displacement are vector quantities

    If both F and d are in the same direction, #W = F * d#

    If force is exerted at an angle of #theta# to the direction of motion, then work done

    #color(green)(W = F cos theta * d#

    Unit of work is Joule

    1 Joule = 1 Newton meter = 1 N m

Questions