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7.1 Work - University Physics Volume 1 | OpenStax

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In physics, work is done on an object when energy is transferred to the object. In other words, work is done when a force acts on something that undergoes a displacement from one position to another. Forces can vary as a function of position, and displacements can be along various paths between two points. We first define the increment of work dW done by a force 𝐅 → 𝐹 → acting through an infinitesimal displacement 𝑑 𝐫 ⃗ 𝑑 𝑟 → as the dot product of these two vectors: Then, we can add up the contributions for infinitesimal displacements, along a path between two positions, to get the total work. The work done by a force is the integral of the force with respect to displacement along the path of the displacement: The vectors involved in the definition of the work done by a force acting on a particle are illustrated in Figure 7.2. While in general, Equation 7.2 requires mathematics beyond the scope of this text, in many simple situations this integral becomes a familiar integral

7.1 Work - University Physics Volume 1 | OpenStax Skip to Content Go to accessibility page Keyboard shortcuts menu University Physics Volume 1 7.1 Work University Physics Volume 1 7.1 Work Contents Highlights Print Close 7.1 Work By the end of this section, you will be able to: Represent the work done by any force Evaluate the work done for various forces In physics, work is done on an object when energy is transferred to the object. In other words, work is done when a force acts on something that undergoes a displacement from one position to another. Forces can vary as a function of position,

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