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From the definition of work, we see that those units are force times distance. Thus, in SI units, work and energy are measured in newton-meters . A newton-meter is given the special name joule (J), and \(1 \, J = 1 \, N \cdot m = 1 \, kg \, m^2/s^2\).
Calculating Work. Work and energy have the same units. From the definition of work, we see that those units are force times distance. Thus, in SI units, work and energy are measured in newton-meters. A newton-meter is given the special name joule (J), and 1 J = 1 N ⋅ m = 1 kg ⋅ m 2 /s 2 1 J = 1 N ⋅ m = 1 kg ⋅ m 2 /s 2. One joule is not ...
The work done on a system by a constant force is the product of the component of the force in the direction of motion times the distance through which the force acts. For one-way motion in one dimension, this is expressed in equation form as. W = F dcosθ, W = F d cos θ,
The joule (J) is the metric unit of measurement for both work and energy. The measurement of work and energy with the same unit reinforces the idea that work and energy are related and can be converted into one another. 1.0 J = 1.0 N∙m, the units of force multiplied by distance. 1.0 N = 1.0 kg∙m/s 2 , so 1.0 J = 1.0 kg∙m 2 /s 2 .
The units of work are units of force multiplied by units of length, which in the SI system is newtons times meters, N · m. This combination is called a joule, for historical reasons that we will mention later, and is abbreviated as J.
Work is done whenever a force causes a displacement. When work is done, energy is transferred or transformed. The joule is the unit for both work and energy.
The SI unit for work and energy is the joule (J), where \(1\phantom{\rule{0.25em}{0ex}}\text{J}=1\phantom{\rule{0.25em}{0ex}}\text{N}\cdot \text{m}=\text{1 kg}\cdot {\text{m}}^{2}{\text{/s}}^{2}\). The work done by a force is zero if the displacement is either zero or perpendicular to the force.
