The mathematical relationship between force and work is given by the equation:
Work = Force × Distance × cos(θ)
where:
- Work is the amount of energy transferred or expended in performing a task or moving an object (measured in joules, J),
- Force is the applied force on an object (measured in newtons, N),
- Distance is the displacement of the object in the direction of the applied force (measured in meters, m), and
- θ is the angle between the direction of the applied force and the direction of motion of the object.
This equation represents the work done by a constant force on an object. When the angle between the force and displacement vectors is zero, cos(θ) equals 1, and the work done is maximized. However, when the force is perpendicular to the displacement, the work done is zero because there is no displacement in the direction of the force.
What is the mathematical relationship between force and work
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