4 Connecting the Concepts 1. Now let\'s connect force and potential energy. How

Question

4 Connecting the Concepts 1. Now let's connect force and potential energy. How are these concepts conceptually linked? How are they mathematically linked? What is the relationship between potential energy and work? 2. Now describe the relationship between the force and the electric field. Again, how are they related both conceptually and mathematically? F. 3. Finally, let's consider the electric potential. Describe the connection between electric potential and potential energy as well as the electric field. How are they related mathematically?

Explanation / Answer

Potential energy is energy which results from position or configuration. The SI unit for energy is the joule = newton x meter in accordance with the basic definition of energy as the capacity for doing work. An object may have the capacity for doing work as a result of its position in a gravitational field (gravitational potential energy), an electric field (electric potential energy), or a magnetic field (magnetic potential energy). It may have elastic potential energy as a result of a stretched spring or other elastic deformation.

If a force acting on an object is a function of position only, it is said to be a conservative force, and it can be represented by a potential energy function

Mathematically they are linked as

F=-dU/dx

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