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Capítulo 14

Gravitação

Gravitação
Gravitação
In the years before Newton, a general belief prevailed that different laws governed objects in the sky than objects on Earth. When Kepler wrote down the ...
Lei da Gravitação de Newton
Lei da Gravitação de Newton
Our everyday observation tells us that all objects close to the Earth naturally tend to fall to the ground. Early philosophers assumed that this downward ...
Gravitação entre massas esfericamente simétricas
Gravitação entre massas esfericamente simétricas
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, ...
Gravidade entre Corpos Esféricos
Gravidade entre Corpos Esféricos
Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, ...
Coordenadas de massa reduzida: problema de dois corpos isolados
Coordenadas de massa reduzida: problema de dois corpos isolados
In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other ...
Aceleração devido à Gravidade na Terra
Aceleração devido à Gravidade na Terra
According to Newton's law of gravitation, the gravitational force on a body is proportional to its mass. According to Newton's second law of ...
Aceleração devido à Gravidade em Outros Planetas
Aceleração devido à Gravidade em Outros Planetas
The gravitational acceleration of an object near the Earth's surface is called the acceleration due to gravity. It can be measured by conducting ...
Peso Aparente e a Rotação da Terra
Peso Aparente e a Rotação da Terra
Since all objects on the Earth's surface move through a circle every 24 hours, there must be a net centripetal force on each object, directed towards ...
Variação na Aceleração devido à Gravidade perto da Superfície Terrestre
Variação na Aceleração devido à Gravidade perto da Superfície Terrestre
An object's apparent weight is its weight measured by a spring balance at its location. It is different from its true weight, the force with which the ...
Energia Potencial devido à Gravitação
Energia Potencial devido à Gravitação
Since gravitational force is a conservative force, the amount of work done to move an object between two points in the gravitational field in which it ...
O Princípio da Superposição e o Campo Gravitacional
O Princípio da Superposição e o Campo Gravitacional
The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a ...
Velocidade de Escape
Velocidade de Escape
The escape velocity of an object is defined as the minimum initial velocity that it requires to escape the surface of another object to which it is ...
Órbitas Circulares e Velocidade Crítica para Satélites
Órbitas Circulares e Velocidade Crítica para Satélites
The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial ...
Energia de um Satélite em Órbita Circular
Energia de um Satélite em Órbita Circular
Thousands of artificial satellites orbit the Earth every day at various distances from the Earth. Satellites that orbit the Earth below an altitude of ...
Primeira Lei de Kepler do Movimento Planetário
Primeira Lei de Kepler do Movimento Planetário
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. He ...
Segunda Lei de Kepler do Movimento Planetário
Segunda Lei de Kepler do Movimento Planetário
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. His ...
Terceira Lei de Kepler do Movimento Planetário
Terceira Lei de Kepler do Movimento Planetário
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. In ...
Forças de Maré
Forças de Maré
The origin of Earth's ocean tides has been a subject of continuous investigation for over 2000 years. However, the work of Newton is considered to be ...
Raio de Schwarzschild e Horizonte de Eventos
Raio de Schwarzschild e Horizonte de Eventos
No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely ...
Detecção de Buracos Negros
Detecção de Buracos Negros
Although black holes were theoretically postulated in the 1920s, they remained outside the domain of observational astronomy until the 1970s. Their ...
Princípio da Equivalência
Princípio da Equivalência
According to Albert Einstein (1897-1955), free-falling and feeling weightless are intrinsically linked. If a person were in free-fall under gravity, for ...
Curvatura do Espaço-Tempo e a Teoria da Relatividade Geral
Curvatura do Espaço-Tempo e a Teoria da Relatividade Geral
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than ...
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