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  1. The work done by a force is the integral of the force with respect to displacement along the path of the displacement: WAB = ∫path AB F ⋅ dr . (7.2.2) The vectors involved in the definition of the work done by a force acting on a particle are illustrated in Figure 7.2.1. Figure 7.2.1: Vectors used to define work.

    • 9.2: Work

      The work done by a force is the integral of the force with...

  2. Mar 12, 2024 · Figure 3.2.2 3.2. 2: Work done when lifting a mass. Work is positive on the way up because force and displacement point in the same direction. On the way down work is negative due to force and displacement pointing in opposite directions (force up and displacement down). Work can be positive or negative.

  3. 7.1. Then, we can add up the contributions for infinitesimal displacements, along a path between two positions, to get the total work. Work Done by a Force. The work done by a force is the integral of the force with respect to displacement along the path of the displacement: WAB = ∫ pathAB→F · d→r. 7.2.

  4. In science, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force strength and the distance traveled. A force is said to do positive work if it has a component in the ...

  5. Aug 16, 2024 · A negative force is the force acting on an object against the applied force. The applied force here is positive that is aimed in the right direction whereas a negative force acts in the left direction. An example of negative force is deceleration, where the speed of a moving object decreases due to gravitational force.

  6. Positive and Negative Work. We have seen the situations when the work done is zero. Work done can also be positive or negative. When 0 o <= θ < 90 o, work done is positive as Cos θ is positive. Work done by a force is positive if the applied force has a component in the direction of the displacement. When a body is falling down, the force of ...

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  8. Mar 14, 2023 · The work done by a force is the integral of the force with respect to displacement along the path of the displacement: WAB = ∫pathAB→F ⋅ d→r. The vectors involved in the definition of the work done by a force acting on a particle are illustrated in Figure 9.2.1. Figure 9.2.1: Vectors used to define work.

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