EXAMPLES ON GRAVITION




 

 

EXAMPLES ON GRAVITION

 

Topics You May Be Interested In
Using And Converting Units Turbulence
Estimates And Order Of Magnitudes More On Gravitational Potential Energy
Elasticity And Plasticity Planetary Motions And The Center Of Mass
Pascal Law The Escape Speed From A Star
Bernoulli's Equation Detecting Black Holes

 

 

 

 

Topics You May Be Interested In
Using And Converting Units Turbulence
Estimates And Order Of Magnitudes Examples On Gravition
Equilibrium And Elasticity The Escape Speed From A Star
Summary Of Equilibrium And Elasticity Detecting Black Holes
The Continuity Equation Circular Motion And The Equations Of Shm

 

 

 

 

Topics You May Be Interested In
Using And Converting Units Kepler's Laws (firsts, Second, Third Laws) And The Motion Of Planets
Equilibrium And Elasticity Kepler's First Law
Elasticity And Plasticity Black Holes
Gravitation Simple Harmonic Motion
Gravitation And Spherically Symmetric Bodies Circular Motion And The Equations Of Shm

EXAMPLES ON GRAVITION

 

 

 

Topics You May Be Interested In
Standards And Units Solved Problems
Uncertainty And Significant Figures Gravitation And Spherically Symmetric Bodies
Vectors And Vector Addition Gravitational Potential Energy
Elasticity And Plasticity A Visit To A Black Hole
Pressure In A Fluid Simple Harmonic Motion

 

 

 

 

Topics You May Be Interested In
Solving Physics Problems Summary Of Fluid Mechanism
Vectors And Vector Addition Weight
Conditions For Equilibrium More On Gravitational Potential Energy
Fluid Mechanics Black Holes, The Schwarzschild Radius, And The Event Horizon
Solved Problems Circular Motion And The Equations Of Shm

 

 

EXAMPLES ON GRAVITION

 

Topics You May Be Interested In
Using And Converting Units Gases Liquid And Density
Equilibrium And Elasticity Apparent Weight And The Earth’s Rotation
Conditions For Equilibrium Black Holes, The Schwarzschild Radius, And The Event Horizon
Finding And Using The Center Of Gravity Summary
Shear Stress And Strain Circular Motion And The Equations Of Shm

 

 

 

 

Topics You May Be Interested In
Center Of Gravity Turbulence
Stress, Strain, And Elastic Moduli More On Gravitational Potential Energy
Summary Of Equilibrium And Elasticity Planetary Motions And The Center Of Mass
Solved Problems Describing Oscillation
Viscosity Amplitude, Period, Frequency, And Angular Frequency

 

 

 

 

Topics You May Be Interested In
Estimates And Order Of Magnitudes Pascal Law
Tensile And Compressive Stress And Strain Absolute Pressure And Gauge Pressure
Shear Stress And Strain Bernoulli's Equation
Pressure In A Fluid Kepler's Laws (firsts, Second, Third Laws) And The Motion Of Planets
Pressure, Depth, And Pascals Law Detecting Black Holes

 

 

 

 

Topics You May Be Interested In
Solving Physics Problems Fluid Flow
Conditions For Equilibrium Weight
Tensile And Compressive Stress And Strain Satellites: Circular Orbits
Gases Liquid And Density Kepler's Laws (firsts, Second, Third Laws) And The Motion Of Planets
Pressure, Depth, And Pascals Law Kepler's First Law

 

 

 

 

Topics You May Be Interested In
Nature Of Physics Kepler's Third Law
Center Of Gravity A Point Mass Outside A Spherical Shell
Stress, Strain, And Elastic Moduli The Gravitational Force Between Spherical Mass Distributions
Elasticity And Plasticity Detecting Black Holes
Pressure In A Fluid Periodic Motion

 



Frequently Asked Questions

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Ans: To determine the value of the gravitational constant G, we have to measure the gravitational force between two bodies of known masses m1 and m2 at a known distance r. The force is extremely small for bodies that are small enough to be brought into the laboratory, but it can be measured with an instrument called a torsion balance, which Sir Henry Cavendish used in 1798 to determine G. view more..
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Ans: We have stated the law of gravitation in terms of the interaction between two particles. It turns out that the gravitational interaction of any two bodies having spherically symmetric mass distributions view more..
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Ans: Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them. view more..
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Ans: HERE ARE SOME SOLVED EXAMPLES TO CLEAR YOUR CONCEPTS view more..
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Ans: gravitational forces are negligible between ordinary household-sized objects but very substantial between objects that are the size of stars. Indeed, gravitation is the most important force on the scale of planets, stars, and galaxies view more..
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Ans: We defined the weight of a body in Section 4.4 as the attractive gravitational force exerted on it by the earth. We can now broaden our definition and say that the weight of a body is the total gravitational force exerted on the body by all other bodies in the universe view more..
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Ans: When we first introduced gravitational potential energy in Section 7.1, we assumed that the earth’s gravitational force on a body of mass m doesn’t depend on the body’s height. This led to the expression U = mgy view more..
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Ans: As a final note, let’s show that when we are close to the earth’s surface, Eq. (13.9) reduces to the familiar U = mgy view more..
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Ans: Artificial satellites orbiting the earth are a familiar part of technology But how do they stay in orbit, and what determines the properties of their orbits? We can use Newton’s laws and the law of gravitation to provide the answers. In the next section we’ll analyze the motion of planets in the same way. view more..
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Ans: A circular orbit, like trajectory 4 in Fig. 13.14, is the simplest case. It is also an important case, since many artificial satellites have nearly circular orbits and the orbits of the planets around the sun are also fairly circular view more..
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Ans: The name planet comes from a Greek word meaning “wanderer,” and indeed the planets continuously change their positions in the sky relative to the background of stars. One of the great intellectual accomplishments of the 16th and 17th centuries was the threefold realization that the earth is also a planet, that all planets orbit the sun, and that the apparent motions of the planets as seen from the earth can be used to determine their orbits precisely view more..
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Ans: First consider the elliptical orbits described in Kepler’s first law. Figure 13.18 shows the geometry of an ellipse. The longest dimension is the major axis, with half-length a; this half-length is called the semi-major axis. view more..
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Ans: In a small time interval dt, the line from the sun S to the planet P turns through an angle du. The area swept out is the colored triangle with height r, base length r du, and area dA = 1 2 r2 du in . The rate at which area is swept out, view more..
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Ans: We have already derived Kepler’s third law for the particular case of circular orbits. Equation (13.12) shows that the period of a satellite or planet in a circular orbit is proportional to the 3 2 power of the orbit radius. view more..
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Ans: We have assumed that as a planet or comet orbits the sun, the sun remains absolutely stationary. This can’t be correct; because the sun exerts a gravitational force on the planet, the planet exerts a gravitational force on the sun of the same magnitude but opposite direction. In fact, both the sun and the planet orbit around their common center of mass view more..
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Ans: We have stated without proof that the gravitational interaction between two spherically symmetric mass distributions is the same as though all the mass of each were concentrated at its center. Now we’re ready to prove this statement. Newton searched for a proof for several years, and he delayed publication of the law of gravitation until he found one view more..
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Ans: We start by considering a ring on the surface of a shell , centered on the line from the center of the shell to m. We do this because all of the particles that make up the ring are the same distance s from the point mass m. view more..
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Ans: Any spherically symmetric mass distribution can be thought of as a combination of concentric spherical shells. Because of the principle of superposition of forces, what is true of one shell is also true of the combination. So we have proved half of what we set out to prove: that the gravitational interaction between any spherically symmetric mass distribution and a point mass is the same as though all the mass of the spherically symmetric distribution were concentrated at its center. view more..




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