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The work done is given by the dot product of the two vectors, where the result is a scalar. When the force F is constant and the angle θ between the force and the displacement s is also constant, then the work done is given by: = If the force is variable, then work is given by the line integral:
The joule was now no longer defined based on electromagnetic unit, but instead as the unit of work performed by one unit of force (at the time not yet named newton) over the distance of 1 metre. The joule was explicitly intended as the unit of energy to be used in both electromagnetic and mechanical contexts. [11]
The work per unit of charge is defined as the movement of negligible test charge between two points, and is expressed as the difference in electric potential at those points. The work can be done, for example, by generators, (electrochemical cells) or thermocouples generating an electromotive force.
A rationalization of the triboelectric series is that different members have different work functions, so electrons can go from the material with a small work function to one with a large. [37] The potential difference between the two materials is called the Volta potential , also called the contact potential .
Work done by compression is considered thermodynamic work, but shaft work, stirring, and rubbing are not, in that they do not change the volume of the system. Work without change of volume is known as isochoric work, for example when friction acts on the surface or in the interior of the system.
Power is the rate with respect to time at which work is done; it is the time derivative of work: =, where P is power, W is work, and t is time. We will now show that the mechanical power generated by a force F on a body moving at the velocity v can be expressed as the product: P = d W d t = F ⋅ v {\displaystyle P={\frac {dW}{dt}}=\mathbf {F ...
It is usually measured in volts, and one volt is the potential for which one joule of work must be expended to bring a charge of one coulomb from infinity. [ 25 ] : 494–98 This definition of potential, while formal, has little practical application, and a more useful concept is that of electric potential difference , and is the energy ...
joule Symbol: J, is a derived unit of energy in the International System of Units. [1] It is equal to the energy transferred to (or work done on) an object when a force of one newton acts on that object in the direction of the force's motion through a distance of one metre (1 newton metre or N⋅m).