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Work (physics)

physical science Maturity 9-11 Next article →

In physics, work is the process of transferring energy to or from an object. This transfer happens when a force is applied to an object and causes it to move through a displacement.

Force-distance-diagram
Force-distance-diagram

Work is not just a measure of effort, but a mathematical relationship between force and distance. It is a scalar quantity, which means it has a magnitude but no direction. Because work is a way of moving energy, it shares the same units as energy itself. Understanding work is essential for studying how machines function and how energy changes form in our universe.

To calculate work, you must look at the relationship between the force and the movement. When a constant force is applied in the same direction as the motion, work is the product of the force strength and the distance traveled.

Work on lever arm
Work on lever arm

Scientists use vectors to describe these quantities, which are values that include both magnitude and direction. The work done is specifically the dot product of the force vector and the displacement vector. If the force and the displacement are in the same direction, the work is positive. If the force acts in the opposite direction of the movement, the work is negative.

Work of gravity F dot d equals mgh
Work of gravity F dot d equals mgh

There are different ways to categorize the type of work being performed. Positive work occurs when a force has a component in the direction of the displacement. For example, if you drop a ball, gravity pulls it downward while it moves downward, performing positive work. Negative work occurs when a force opposes the motion. If you throw a ball upward, gravity pulls downward while the ball moves up, resulting in negative work. There are also instances where no work is performed at all. This happens when a force is perpendicular to the direction of motion.

Baseball pitching motion 2004
Baseball pitching motion 2004

A magnetic force on a moving charged particle or a centripetal force in circular motion are examples of forces that do zero work because they are at a 90-degree angle to the velocity.

The history of this concept shows a long journey of scientific discovery. Ancient Greek physics focused on the balance of forces in simple machines but lacked a concept of work. During the Renaissance, researchers began studying the dynamics of mechanical powers to see how far they could lift loads. In 1600, the Italian scientist Galileo Galilei published "On Mechanics." He demonstrated that simple machines act as force amplifiers. Most importantly, Galileo was the first to explain that machines do not create energy; they only transform it.

Before the modern definition was standardized, many different names were used for this concept. People called it the "moment of activity," "quantity of action," or even "dynamic effect." In 1759, John Smeaton described a quantity called "power" related to the exertion of strength to produce motion. The formal term "mechanical work" was introduced in the late 1820s. This was done independently by two French scientists: mathematician Gaspard-Gustave Coriolis and Professor Jean-Victor Poncelet. They needed a way to study the power of machines, such as steam engines used to lift water from mines.

Today, the International System of Units (SI) uses the joule (J) to measure work. This unit is named after the English physicist James Prescott Joule. One joule is defined as the work done when a force of one newton moves an object a distance of one metre in the direction of the force. While some use the term "newton-metre," this is often discouraged to avoid confusion with torque. Other units include the foot-pound from the English system, where one joule is approximately 0.7376 ft-lbs. Non-SI units also include the erg, the kilowatt-hour, and the calorie.

Work is fundamentally tied to the work-energy principle. This principle states that positive work increases the kinetic energy of an object, while negative work decreases it. Kinetic energy is the energy an object possesses due to its motion. If you apply a force of 10 newtons to move an object 2 metres, you have done 20 joules of work.

LotusType119B
LotusType119B

This principle applies to many systems, including electric work and potential energy. In a conservative force field, work done can be described as the negative change in potential energy. This deep connection allows scientists to predict how objects will move and how much energy they will require to perform tasks.

Campeonato de carrinhos de rolimã em Campos Novos SC
Campeonato de carrinhos de rolimã em Campos Novos SC
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🖼️ Images & Media (7)
File:Baseball pitching motion 2004.jpg
Baseball pitching motion 2004.jpg
File:Force-distance-diagram.svg
Force-distance-diagram.svg
File:Work on lever arm.svg
Work on lever arm.svg
File:Work of gravity F dot d equals mgh.JPG
Work of gravity F dot d equals mgh.JPG
File:Analogie ressorts contrainte.svg
Analogie ressorts contrainte.svg
File:LotusType119B.jpg
LotusType119B.jpg
File:Campeonato de carrinhos de rolimã em Campos Novos SC.jpg
Campeonato de carrinhos de rolimã em...
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