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The amount of work done upon an object depends upon the amount of force (F) causing the work, the displacement (d) experienced by the object during the work, and the angle (theta) between the force and the displacement vectors. The equation for work is ... W = F*d*cosine(theta)
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Unlike velocity, acceleration, force, and momentum, the...
- Mechanical Energy
Work involves a force acting upon an object to cause a...
- Potential Energy
Work: Definition: The work done by a force is defined to be the product of component of the force in the direction of the displacement and the magnitude of this displacement. Formula: Work can be calculated by multiplying Force and Distance in the direction of force as follows. W = F × d: Unit: The SI unit of work is the Joule (J) Energy ...
Work Done by Forces that Vary. In general, forces may vary in magnitude and direction at points in space, and paths between two points may be curved. The infinitesimal work done by a variable force can be expressed in terms of the components of the force and the displacement along the path, \[dW = F_{x} dx + F_{y} dy + F_{z} dz \ldotp \nonumber\]
Figure 7.3 Work done by a constant force. (a) A person pushes a lawn mower with a constant force. The component of the force parallel to the displacement is the work done, as shown in the equation in the figure. (b) A person holds a briefcase. No work is done because the displacement is zero.
The general formula for work and for determining the amount of work that is done on an object is: W = F × D × cos(Θ) where W is the amount of work, F is the vector of force, D is the magnitude of displacement, and Θ is the angle between the vector of force and the vector of displacement.
The work W done by a constant force of magnitude F on a point that moves a displacement s in a straight line in the direction of the force is the product = For example, if a force of 10 newtons ( F = 10 N ) acts along a point that travels 2 metres ( s = 2 m ), then W = Fs = (10 N) (2 m) = 20 J .
To calculate work done by a force, follow the given instructions: Find out the force, F, acting on an object. Determine the displacement, d, caused when the force acts on the object. Multiply the applied force, F, by the displacement, d, to get the work done.
