Name: work in physics: force and motion
Uploaded: 2023-04-30T10:55:37.000Z
Duration: 1 min 22 s
Channel: JoVE

K12 Standards

north-carolina-k-12-science-standard-course-of-study

North Carolina K-12 Science Standard Course of Study

9-12

Physical Science

Energy

PS.PSc.7.3

Work

Diz-se que o trabalho é feito quando a energia é transferida de uma entidade para outra por meio da aplicação da força. Por exemplo, quando uma força F é aplicada em uma caixa e ela se move através de um deslocamento ds, o trabalho é feito contra a força de atrito.
O incremento no trabalho realizado durante o processo é igual ao produto escalar dos vetores força e deslocamento.
Somente o componente de força aplicado paralelamente ao deslocamento do objeto contribui para o trabalho realizado.
Quando um objeto é movido da posição A para B, o trabalho total realizado pela força é a integral da força em relação ao deslocamento ao longo do caminho do deslocamento.
Para uma força constante em magnitude e direção, a integral depende apenas dos pontos finais e, portanto, o trabalho realizado é independente do caminho percorrido.
Quando uma força variável está agindo sobre um objeto, como expansão ou compressão de uma mola, a força da mola é expressa em função da distância. O trabalho realizado pela força da mola ao longo do deslocamento da posição inicial para a posição final é dado por esta equação, onde k é a constante da mola.

trabalho

O trabalho é realizado quando a energia é transferida de um objeto para outro. Em outras palavras, o trabalho ocorre quando uma força age sobre algo que sofre um deslocamento de uma posição para outra. As forças podem variar em função da posição, e os deslocamentos podem ocorrer por caminhos diferentes entre dois pontos. O incremento de trabalho (dW) realizado por uma força atuando através de um deslocamento infinitesimal pode ser definido como o produto escalar entre as grandezas vetoriais de força (<img alt="Image1" src="/files/ftp_upload/12663/12663img01.png" />) e deslocamento (<img alt="Image1" src="/files/ftp_upload/12663/12663img02.png" />).

O produto escalar pode ser expresso em termos das magnitudes dos vetores e do cosseno do ângulo entre eles, pois é mais fácil definir o produto escalar em palavras como uma expressão que depende das magnitudes e ângulos. Ele também pode ser expresso em termos de diferentes componentes, conforme introduzido na lição sobre vetores.

De acordo com as propriedades dos vetores, não importa se você considera a componente da força paralela ao deslocamento ou a componente do deslocamento paralela à força - o resultado é o mesmo de qualquer maneira. As unidades de trabalho são unidades de força multiplicadas por unidades de comprimento; no sistema SI, isso corresponde a Newtons multiplicados por metros (N·m). No sistema inglês, a unidade de força é a libra (lb) e a unidade de distância é o pé (ft), então a unidade de trabalho é o pé-libra (ft·lb).

O trabalho realizado por uma força constante em magnitude e direção é o mais simples de ser calculado. Em geral, as forças podem variar em magnitude e direção nos pontos do espaço, e os caminhos entre dois pontos podem ser curvos. O trabalho infinitesimal realizado por uma força variável pode ser expresso em termos das componentes da força e do deslocamento ao longo do caminho. Nesses casos, as componentes da força são funções da posição ao longo do caminho, e os deslocamentos dependem das equações do caminho. No entanto, o conceito físico de trabalho é simples: calcular o trabalho para deslocamentos pequenos e somá-los.

Este texto foi adaptado de <a href="https://openstax.org/books/university-physics-volume-1/pages/7-1-work">Openstax, University Physics Volume 1, Section 7.1: Work.</a>

Trabalho

O trabalho é feito quando a energia é transferida de um objeto para outro. Em outras palavras, trabalho é quando uma força atua sobre algo que sofre um deslocamento ...

Education

JoVE Core

Physics

Física

Unit 1

Unidade 1

Work and Kinetic Energy

Trabalho e Energia Cinética

KEY TERMS AND CONCEPTS

TERMOS-CHAVE E CONCEITOS

work in physics: force and motion

Work in physics connects force, motion, and energy transfer. Work is done when a force acts on an object and that object moves from one position to another. If there is no displacement, no work is done, even if a force is present.

The amount of work depends on the force and the direction of motion. For a very small displacement, the work done is written as the dot product of force and displacement vectors. That means work depends on the size of the vectors and the angle between them. You can also describe it using vector components, and it gives the same result whether you use the force component along the displacement or the displacement component along the force.

Work is measured in units of force times distance. In the SI system, that unit is the newton-meter, or N·m. In the English system, it is the foot-pound, or ft·lb.

The easiest case is a force that stays constant in both size and direction. In more general situations, the force can change from place to place, and the path between two points can be curved. Then the work is found by adding the tiny work done over each small part of the path. The force components and the path equation both matter in those cases, but the main idea stays the same: break the motion into small steps and add the work from each one.

Work in Physics: Force and Motion

work

Work in physics connects force, motion, and energy transfer. Work is done when a force acts on an object and that object moves from one position to another. If there is no displacement, no work is done, even if a force is present. The amount of work depends on the force and the direction of motion. For a very small displacement, the work done is written as the dot product of force and displacement vectors. That means work depends on the size of the vectors and the angle between them. You can...

positive, negative, and zero work

How Force Direction Changes Work

Work in physics depends on the direction of a force and the way an object moves. Work is done when energy is transferred to an object. It happens when a force acts on a body that moves from one position to another. The work done by a force is defined as the integral of the force with respect to displacement along the path. Forces can change with position, and an object can move along different paths between the same two points. In vector form, the size of a force times the cosine of the angle...

energy

Energy Sources and Forms in Matter

Energy in matter comes from the Sun and changes form in many everyday processes. The universe is made of matter in different forms, and all forms of matter contain energy. On Earth, many energy sources can be traced back to the Sun, which is the ultimate energy source. Plants capture light energy from the Sun during photosynthesis and convert it into chemical energy. This stored energy can then be used in several ways. People get energy from plant foods, and wood or coal, which are fossilized...

types of potential energy

Potential Energy Examples in Everyday Physics

Potential energy is stored energy, and it appears in several everyday forms. It is also called energy at rest because it is ready to be used later. In physics, different systems can store energy in different ways. Gravitational potential energy is the energy stored by an object because of its position. An apple hanging from a tree is one clear example. Electrical potential energy is stored when electric charges attract or repel each other. Chemical potential energy is stored in the bonds...

types of kinetic energy

How Mass and Speed Affect Kinetic Energy

Kinetic energy depends on an object’s mass and speed. A heavier object moving at the same speed has more kinetic energy than a lighter one. An object moving faster also has more kinetic energy when the mass stays the same. The transcript also describes several forms of kinetic energy. Mechanical energy is linked to the motion of an object. A bullet fired from a gun and water flowing down a dam are examples of mechanical energy. Electrical energy comes from the flow of electric charges.

kinetic energy - i

Motion Energy in Collisions

Kinetic energy is the energy of motion. It depends on how fast an object moves, not on the direction of its velocity. In classical mechanics, this idea helps explain how moving bodies affect other bodies during collisions. A classic example is a perfectly elastic, head-on collision between two identical bodies, with one body initially at rest. After the collision, the first body stops, and the second body moves away with the first body's original velocity. This same pattern can be seen in...

kinetic energy - ii

Kinetic Energy, Momentum, and Reference Frames

Kinetic energy depends on mass, speed, momentum, and the frame of reference. For a particle, it is one-half of the particle’s mass times the square of its speed. The same idea can also be written in terms of mass and momentum instead of mass and velocity. The units of kinetic energy are mass times speed-squared. These units match the units of work. Force times distance also gives the same units, so kinetic energy and work are measured in joules. That is why work and kinetic energy are two...

work-energy theorem

Work Done and Kinetic Energy

Work done by the net force is linked to an object's kinetic energy. In physics, the net force is the total force acting on an object. Kinetic energy is the energy of motion. The work-energy theorem states that the work done by all forces on an object equals the change in its kinetic energy. This relationship is useful when acceleration is not constant. If the change in velocity is known, the theorem can still help calculate the work done by a force. It connects force, motion, and energy in a...

work and energy for variable forces

Variable Force Work via Graphs and Energy

Variable force work and energy can be found by using force-displacement graphs and the work-energy principle. When a force changes as an object moves, the calculation is more complex than for a constant force. Work is the product of force and displacement, and energy is the capacity of a system to do work. For a constant force, work is found by multiplying the force by the distance moved in the direction of the force. For a variable force, the work done is the area under the force-displacement...

/files/media/science-education/science-education-thumbs/14699.jpg

work-energy theorem for motion along a curve

work-energy-theorem-for-motion-along-a-curve

Work-Energy Along Curved Paths

The work-energy theorem can be applied to motion along a curved path. A curved path can be treated as many tiny straight paths added together. On each small part, the force can be taken as constant, so the work-energy theorem can be used there. The total result comes from adding the work done along all of those small path segments. The net work is found with an integral, which adds the work from each infinitesimal path. The total change in kinetic energy is the sum of the changes along the way.

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work done over an inclined plane

Gravity and Work on Sloped Motion

Gravity and work on sloped motion can be described with the center-of-mass framework. For a rigid body, internal forces do no work, so they can be ignored. The work-energy theorem then uses only the external forces. The work done by gravity depends on the path of the body’s center of mass. If gravity helps increase kinetic energy, the work is positive. If an object is lifted against gravity, the work is negative because kinetic energy decreases. For horizontal motion, the work done by or...

/files/media/science-education/science-education-thumbs/14701.jpg

work done by many forces

Calculating Work from Multiple Forces

Calculating work from multiple forces can be done in two ways, and both methods give the same result. One method finds the work done by each force first. The other method finds the net force by adding the force vectors first.

/files/media/science-education/science-education-thumbs/14735.jpg

work done by gravity

Gravity and Positive vs Negative Work

Gravity is one of the four fundamental forces in nature. On Earth, the force between an object and Earth is called gravity. Gravity does work on an object when it moves the object toward Earth’s center. In that case, the work done by gravity is positive. When an external force lifts an object away from Earth’s center, that force works against gravity. The net work done in this case is negative. If an object moves along the Earth with no change in distance toward or away from Earth’s center,...

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power

Power in Work and Motion

Power connects work with the time needed to do it. Work depends on force and displacement. The work-energy theorem also links net work on an object to the change in its kinetic energy between two points on its path. These ideas do not include time directly, but time still matters in many real situations. A sprinter is a clear example. Two runners may reach the same finish speed, so they do the same amount of work. The winner is the one who reaches that speed in less time. Power describes this...

power expended by a constant force

Power as the Rate of Doing Work

Power describes how fast work is done. In physics, two sprinters can cross the finish line with the same velocity and do the same amount of work, but the one who finishes first has greater power because the work takes less time. Average power is the work done during a time interval divided by that time interval. When the time interval becomes very small, this becomes instantaneous power. That gives the power at a specific moment instead of over a longer stretch of time. Power can also be...

key terms and concepts

Learn how work links force, displacement, and energy transfer. See how dot products, vector components, and units like N·m and ft·lb apply.

Work in Physics: Force and Motion | JoVE K12

physics

JoVE Core - Fisica apresenta a teoria e a aplicação de tópicos fundamentais da física, incluindo cinemática, dinâmica, mecânica dos fluidos, estática, ondas e acústica, com vídeos animados concisos e de fácil compreensão. Além disso, os vídeos de cientistas em ação demonstram a aplicação de conceitos relacionados em experimentos de pesquisa clássica e original realizados nos laboratórios de todo o mundo hoje em dia.

PS.PSc.7.4

PS.Phy.6.2

ohios-learning-standards-and-model-curriculum

Ohio’s Learning Standards and Model Curriculum

Energy And Waves

transfer-and-transformation-of-energy-including-work

Transfer and transformation of energy (including work)

Work and power

Virginia  Standards of Learning

HIgh School

PH.4

PH.4.b

Arizona Science Standards

High School

HS.P4

HS.P4U1.8

HS+Phy.P4

HS+Phy.P4U1.6

HS.P4U3.9

Alabama Course of Study Science

9-12.PS.1.1.a

9-12.P.2.3.a

9-12.P.2.3.c

Texas Essential Knowledge and Skills

PHYS.7

PHYS.7.A

Georgia Standards of Excellence

SPS8.

Work and Simple Machines

SP3.

Work-Kinetic Energy Theorem.

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PS.PSc.7.2

Work is done when energy is transferred from one object to another. In other words, work is when a force acts on something that undergoes a displacement ...

Positive, Negative, and Zero Work

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When an object is acted upon by a variable force, the amount of work done and the change in energy of the object can be more complex to calculate compared ...

Work-Energy Theorem for Motion Along a Curve

The work-energy theorem can be generalized to the motion of a particle along any curved path. The simple argument here is that the curved path can be ...

Work Done Over an Inclined Plane

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Work Done by Many Forces

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Power

The concept of work involves force and displacement; meanwhile, the work-energy theorem relates the net work done on a body to the difference in its ...

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Analyze energy transfers and transformations within a mechanical system.

Work in Physics: Force and Motion

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