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Question

Work done by a force is described by the equation W=F×scosθ.For which value of θ is the work done is maximum.


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Solution

  1. A work is said to be done if we applied a force on an object and the object moves to a distance.
  2. So work done,

W=F×scosθ

Where F is the applied force and s is the displacement in the direction of the force.

  1. If, θ=00,cosθ=0andW=Fs
  2. If, θ=90,cos90=0andW=0
  3. if, θ=1800,cos180=-1andW=-Fs

Hence, work done is maximum when θ=00.


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