Work done by a constant force

Key point

  • Work done by a constant force is the product of the force times the distance travelled
Work done by a force is the product of the force in the direction of the displacement time the distance traveled.
  • F = Force
  • W = Work
  • s = distance
  • Θ = angle between force and displacement
  • Unit: Joule
  • One Joule is the work done by a force of 1 N when it moves a body a distance of 1 m in the direction of the force
  • 1 J = 1 Nm

Formula Booklet

Work done by a force IB Equation/Formula
Force Displacement Graph IB

The work done by a force is the area of a force/displacement graph.

 

Since F = kx and Work is the area under the force-displacement graph the resulting equation is 

  • Work done becomes Elastic Potential
Work done by stretching a spring graph
  • m = mass
  • g = gravity
  • s = displacement
  • Θ = angle made when the body falls
  • Work done by gravity is independent of the path followed
  • Work done by gravity depends solely on the vertical distance separating the initial and final positions
  • that is true for all conservative forces

Not in Formula Booklet but important

Work done by gravity

Work done by gravity Equation/Formula IB

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