Newton's Law of Universal Gravitation

-Kimestandarte

 Newton's Law of Universal Gravitation explaining that the gravitational forces were responsible for us, this force is attracts any objects with mass that pull the objects.The force of an object is either directly proportional or inversely proportional. This law is extends gravity beyond earth. The universe has a lot of forces, lots of pushes and pulls. Always pushing or pulling even if we are in ground . 

   Inverse square law the , one of the law that explains Isaac Newton. this Law state that the gravitational force changes in inverse proportion to the square of the distance from the source.        

Newton's Law of Universal Gravitation

- JayR

Newton's Law of Universal Gravitation explains the 5 components such as newton's discovery of the law, center of mass refinement, effects of extended objects, the determination of G and universality of the law.

Newton discovered his 3 laws of motion when he witnessed the force that are present on the apple that are fall from the tree . The acceleration of the apple are depends upon the mass of the apple. There are 3 Newton's law of motion that are explained by Newton such as law of inertia, law of acceleration and law of action-reaction. 




The universal gravitation explains that in every pair of particles that are attract to each other with the gravitational  force will be directly proportional to the mass of the interacting objects and inversely proportional to the square of distance between them. 

(yiesh17)

GRAVITY-  Newton's Law of Universal Gravitation it stated that in every particle attracts in every particles in the universe using force that is directly proportional and inversely proportional.

 Newton's Law of Universal Gravitation consist: Newton's Discovery of the law contains 

• Terrestrial Objects Accelerate Toward The Earth

 if a ball compacts in a net it releases at rest near the surface of the earth it accelerates toward the center of the earth under the action of the gravitational force Fg = mg where g is the local acceleration of gravit y

JEYMS09

NEWTON'S LAW OF UNIVERSAL GRAVITATION

       This law states that their is a proportional and inversely proportional attractions between two objects. This theory shows how different objects interacts with each other, it may be due to gravitational force or because of its mass. Newton's law of gravitation resembles the electrical forces that every particles contribute and how the charges between two bodies.


       The relationship between the earth and the moon depends on the gravitational force and due to the mass of every object.

Gravitation Summary

(Nobyangscxz)
Newton's Law of Universal Gravitation
Newton theorized that the force that cause the apple's acceleration is dependent on the apple's mass. The third law of newton also explains that the force causing the downward acceleration of an apple is the one that also causes the upward acceleration of earth. So, Newton says that the force of gravity acting between the earth and any other object is directly proportional to the mass of the earth, directly proportional to the mass of the object, and inversely proportional to the square of the distance that separates the centers of the earth and the object.(The Physics Classroom 2016)

Newton's Law of Universal Gravitation talks about the universality of gravity. To be exact, Gravity is Universal. All objects in the universe attract each other because of its gravity.

Since the gravitational force is directly proportional to the mass of both objects, the massive the objects the greater the gravitational force. The greater the mass, the higher the gravitational force. 

Since gravitational force in inversely proportional to the square of distance between them, the farther they are, the weaker the gravitational force.

Gravitational Field

According to Fowler 2006, gravitational field at any point in space is defined as the gravitational force felt by a tiny unit mass placed at any point. As you can see on the picture below, the gravitational force is always going towards the center of an object.

 

Escape Velocity

Escape Velocity is the velocity needed by an orbiting object to escape from the gravity of another orbiting object. 

Kepler's Law of Planetary Motion

There are 3 Laws of Kepler:

The First Law

States that planets move in elliptical orbits with the Sun at one focus of the ellipse. 

The Second Law

States that a line from the Sun to the planet sweeps out equal areas in equal times, i.e. planets don’t move at constant speed.

The Third Law

 Compares the orbital period and radius of orbit of a planet to those of other planets.

       - Kevin10
NEWTON’S LAW OF UNIVERSAL GRAVITATION – one of the theory that explains how objects accelerates towards the center of the Earth when it is put towards the center. One of the demonstration that shows how objects interact is an apple that falls. Newton on his early day doubt how an apple falls and what force caused it to fall. This leads to the idea of gravity. A gravity is an energy that pulls any object towards the center of the earth. It travels and accelerates in constant through 9.8 m/s2. Showing how body interact with the help of gravity.                                          

       The theory explains that two objects that interacts has definitely/either same mass or different but directly proportional to the universal force. So as the masses of the objects becomes heavier the force that should be applied must become greater and vice versa.

 

       But inversely proportional to the squared of the distances of the two objects. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

Periodic Motion

Periodic Motion      

    It is called Periodic Motion when there is no damping force. In real situations, all natural oscillations are damped by friction, air-resistance, etc.

Simple harmonic: spring-mass

       When k is the spring constant, and x is the distance that the spring is stretched. If a mass m0 is suspended on a spring as shown, then the downward force of the weight equals the upward restoring force of the spring,

                m0g = kx0

       When x0 is the position of the weight in equilibrium. (The position of the unstretched spring is considered to be x = 0.) If additional mass m is loaded on the spring, then the spring stretches to a position x.
                mg = k(x-xo)

       When (x-xo) is the elongation of the spring from the equilibrium position of the initial lead weight, and (m+mo) is now the total mass attached to the spring. If the load weight is plotted vs. the elongation of the spring, then the slope is just the spring constant k.
       A mass on a spring exhibits simple harmonic motion because its period is independent of its amplitude, or amount of stretch. The period of oscillation of a mass on a spring is given.
               
               T=2π = 2π multiplied to the square root of M
                    ω                                                       k
Damped and Forced Oscillations Summary

       There is a time dependent voltage source, the current in the circuit is depending on this time, then the magnetic field generate by this current with time. Non-concervative electric field does not vanish and gives an emf which equals minus times the time derivative of the magnetic flux through the circuit. As the coil turns around the z~axis, the flux through it changes, and an emf develops

      Always remember that the line integral of the electric field across the inductor is ZERO. There is a law says that potentials around a loop vanishes fails and that law is Kirchoff law. Because we don't have steady currents but in time varries.

       Sinusoidal diriving forces must be studied because reasonable forces can be express as a sum of sinusoidal components. If we all know the system's of sinusoidal driving force, we can compute the wide class of driving force. That is why it is important to know what is the system's of sinusoidal driving forces.

Mechanical Waveasdsad

 Types of mechanical waves:

       • Waves that have compressions and rarefactions parallel Waves that have compressions and rarefactions parallel to the direction of wave propagation are longitudinal.
        • Waves that have compressions and rarefactions perpendicular to the direction of propagation perpendicular to the direction of propagation.


Periodic motion experiment