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Visit The Physics Classroom's Flickr Galleries and enjoy a visual tour of the topic of gravitation. Explore the effect of object mass and separation distance on the force of gravity using this interactive Java applet from PhET. Now here's a chance of a lifetime - build your own solar system with this interactive Java applet from PhET. Improve your problem-solving skills with problems, answers and solutions from The Calculator Pad. Students can explore the effect of object mass and separation distance using this interactive Java applet from PhET. This unit from The Physics Classroom Tutorial provides excellent background information to support this problem-based learning unit. As discussed earlier in Lesson 3, Isaac Newton compared the acceleration of the moon to the acceleration of objects on earth. Newton knew that the force that caused the apple's acceleration (gravity) must be dependent upon the mass of the apple.
Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. The proportionalities expressed by Newton's universal law of gravitation are represented graphically by the following illustration.
Another means of representing the proportionalities is to express the relationships in the form of an equation using a constant of proportionality. The constant of proportionality (G) in the above equation is known as the universal gravitation constant. Knowing the value of G allows us to calculate the force of gravitational attraction between any two objects of known mass and known separation distance. Two general conceptual comments can be made about the results of the two sample calculations above. Gravitational interactions do not simply exist between the earth and other objects; and not simply between the sun and other planets.
Use the Newton's Law of Universal Gravitation widget below to investigate the effect of the object masses and separation distance upon the amount of gravitational attraction.
How did Newton establish that it was the force of gravity between the sun and the planets was the force responsible for keeping the planets in motion along their elliptical path?
If the distance is increased by a factor of 2, then force will be decreased by a factor of 4 (22).
Proposition: The Kepler Laws allowed Newton to establish his Law of Universal Gravitation without which Newton would have been at a considerable loss! Prior to Johannes Kepler ( 1571 - 1630 ), Copernicus ( Polish: Mikolaj Kopernik, 1473 - 1543 ) supposed that planetary orbits were approximate circles which indeed are ellipses of a special kind. Kepler's 2nd Law ( Equal Areas in Equal Times ) states that a planet's motion maps out equal areas in equal times for a radius vector, , drawn from the sun - foci to the planet. This then provides one of the first and most important empirical proofs of Newton's Law of Universal Gravitation since planetary centripetal acceleration solely depends upon the distance of the planet from the sun!!
Of course, planets do not accelerate and fall into their center bodies due to a countervailing centrifugal force and Newton's Law of Inertia. Hence, here is a further interpretation of the force which maintains a planet's orbit about the sun and which is directly dependent upon the planet's distance from this central body.
Moreover, the universality of Newton's concept of forces acting upon bodies did not just allow for the relative mass of the sun to effect a planet's orbital motion, but equally that there exists a mutual force arising from a planet's mass and hence its reciprocal effect upon the sun.
This says that there is some universal value, , for both the sun and any planet and therefore for any body whatsoever in the solar system. The Law of Attraction says that not only are all things made of energy, but that like energies attract like energies. The Law of Attraction is an important piece of the puzzle but it is only a piece, when talking about spirituality and the Universal Laws. Many books talk about the Universal Law of Attraction and I think it is important that we all take the time to understand it, however, do not think that by following the rules behind this law alone will get you what you want.
Yes, you must first think it in to being and yes you can start to see a significant change in your life using only the Law of Attraction, but if you truly want to change your world for the better and you want to be the creator of your destiny you must work with all the Laws of Nature not just the Universal Law of Attraction. Believing that gravitational forces were responsible for each, Newton was able to draw an important conclusion about the dependence of gravity upon distance.
So as the mass of either object increases, the force of gravitational attraction between them also increases. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
Observe how the force of gravity is directly proportional to the product of the two masses and inversely proportional to the square of the distance of separation. The precise value of G was determined experimentally by Henry Cavendish in the century after Newton's death.
When the units on G are substituted into the equation above and multiplied by m1• m2 units and divided by d2 units, the result will be Newtons - the unit of force.
Gravitational interactions exist between all objects with an intensity that is directly proportional to the product of their masses. In any event, because circles are special cases of generalized ellipses, any derivations based upon Kepler's 1st Law ( Planetary Law of Ellipses ) for ellipses must also hold true for circles. This universal factor of proportionality, , is called the gravitational constant and was finally and fairly accurately implicitly determined [ within 1% ] in 1797 by British Henry Cavendish ( 1731 - 1810 ) whose original intent was to calculate earth's density relative to water. For example, the energies that make up your chair are all related and share similar characteristics. The thoughts you hold in your mind are in deed very important and nothing is created without first the thought to bring it into being.So this Universal Law, the Universal Law of Attraction, is all about thinking it into being, but to attract what you want you must also follow all of the other 11 Universal Laws. The Law of Reincarnation and KarmaUntil you have resolved your Karma and fulfilled your Dharma, which are the deeds you must do, you will continue to reincarnate into sequential lifetime upon the earth. We will specifically discuss the premise that life isn’t built upon accidents, chance or luck, while also looking at the dynamics of free choice — examining how we consciously and unconsciously choose what we experience and how we feel on a daily basis. So for Newton, 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. Newton's place in the Gravity Hall of Fame is not due to his discovery of gravity, but rather due to his discovery that gravitation is universal. If the mass of one of the objects is doubled, then the force of gravity between them is doubled.
If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power). So as you sit in your seat in the physics classroom, you are gravitationally attracted to your lab partner, to the desk you are working at, and even to your physics book.
Knowing that all objects exert gravitational influences on each other, the small perturbations in a planet's elliptical motion can be easily explained. If the distance between the two objects is doubled, what is the new force of attraction between the two objects? Rather, Cavendish misinterpreted his discovery of the gravitational constant as earth's density; nevertheless, the torsion balance apparatus conceived and built earlier by then deceased John Mitchell ( Reverend, geologist and English natural philosopher, 1724 - 1793 ) was crated and sent on to Cavendish which allowed him to complete his 1797 experiment to within 1% accuracy of the modern gravitational constant calculation! Because of this they come together to create what is the chair.Our thoughts work in the same way.
For now, though, we will focus on the law at hand, the Law of Attraction.To attract what you want, you must hold firmly in your mind that which you desire. To fully understand how the universe works and how we can create our own world as we wish it to be, we must read and comprehend all 12 Universal Laws. Neither God nor the Lords of Karma bestow suffering upon you during these lives, you and you alone decide what you most need to learn and in your earthly sojourns, and for each life experience you seek out other souls, often with shared histories, and always with Karmic configurations matching your needs. To conclude our discussion we will list down several transformational analysis questions that can help us take advantage of this universal law.The Law of AttractionWe will not specifically discuss the law of attraction here.

If the mass of one of the objects is tripled, then the force of gravity between them is tripled.
If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power). This illustrates the inverse relationship between separation distance and the force of gravity (or in this case, the weight of the student).
Newton's revolutionary idea was that gravity is universal - ALL objects attract in proportion to the product of their masses. As the planet Jupiter approaches the planet Saturn in its orbit, it tends to deviate from its otherwise smooth path; this deviation, or perturbation, is easily explained when considering the effect of the gravitational pull between Saturn and Jupiter. Cavendish published his results in Philosophical Transactions of the Royal Society of London, Vol. However, the law of cause and effect and several other laws are in fact the causes that lead to the effects of the law of attraction.
If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Newton's comparison of the acceleration of the apple to that of the moon led to a surprisingly simple conclusion about the nature of gravity that is woven into the entire universe. What I mean, is, if you think well of someone then you attract what is good in that person. If you do not like the world in which you are currently living, you need simply change your thoughts and beliefs of the world in which you live.If you want to have a good family life, if you want to own your own business, if you want to be wealthy, if you want to buy a new house, you must first think it so. Actions are considered to be thoughts, emotions, words and deeds, and the motive, desire and intent behind each.
This means, that if we are first able to gather an understanding of these laws, then that will essentially help us to better use the law of attraction to attract what we want most into our lives.If you have read other blog posts on the IQ matrix blog, you will already know that I am not a big fan of the law of attraction.
This force of gravitational attraction is directly dependent upon the masses of both objects and inversely proportional to the square of the distance that separates their centers. However, a mere change of 40 000 feet further from the center of the Earth is virtually negligible. All objects attract each other with a force that is directly proportional to the product of their masses and inversely proportional to their distance of separation. If you think badly of someone then you attract what is unpleasant about that person.This Universal Law works in all areas of our thoughts. Disharmonious acts must be balanced in the future in this life or in a future lifetime, to have Soul growth.3.
This altitude change altered the student's weight changed by 2 N that is much less than 1% of the original weight. The Universal Law of Wisdom, Wisdom erases KarmaIf you have the wisdom to learn your lessons through love and wisdom you can mitigate your suffering. Whether our decisions seem small and rather insignificant, or whether they are significant and transformational in nature, does not matter. To illustrate this, use Newton's universal gravitation equation to calculate the force of gravity between the following familiar objects. If we think money is always available when we need it then it is always there when we need it.
It is in the belief that you can have and be that which you desire, that makes the difference.
Sadly, we seem to learn the fastest through pain, through directly experiencing the consequences of our actions.
This alteration of distance is like a drop in a bucket when compared to the large radius of the Earth.
If you think money is abundant then you guessed it, when money appears it will appear in abundance.
Which essentially means that if you make the right decisions and take the right actions, you will undoubtedly achieve the success you envision for your life — whether you are directly aware of it or not.As a consequence the law of cause and effect brings to light the idea that success can be modeled once we are aware of what we want. As shown in the diagram below, distance of separation becomes much more influential when a significant variation is made. Before you were born into your current life, you agreed to be left by your mate, under similar circumstances.
All we must do is find out what successful people do, and we will be able to do what they do to achieve the success that they have attained in their own lives.However, finding out what people do is only the beginning. If through the wisdom of Master-Life-Awareness it is easier to detach consciously from the relationship with love, you will ease the pain of parting while also passing your own test, and thus absolving Karma and evolving from within.4.
The Universal Law of GraceKarma can be experienced to the letter of the law or in mercy and grace. In other words if you give love, mercy and grace to others, you will receive the same in return.5. The Universal Law of Soul EvolutionEveryone on Earth shares the goal of Soul evolution whether they realize it or not. These causes create effects which we experience in our lives as manifested life circumstances. By rising above all of our fear based emotions and in so doing learning how to express unconditional love we raise our vibrational rate, and move closer to a state of harmony. Moreover, this psychological programming is filtering our experience of reality in a very biased yet very predictable manner — effectively creating and interpreting our existence in front of our eyes.The law of cause and effect does however provide a solution for this predicament.
We learn through the pain of our disharmonious acts, which can be viewed as our mistakes or failures. The Universal Law of BodhisattvaBodhisattva is a Sanskrit term commonly accepted by most Metaphysical adepts today.
It means one who has transcended the need of Earthly incarnations but who has chosen to return to the earth to support others in achieving enlightenment.
If so, then you might like to download the accompanying mind map reference poster to your iPad, tablet or computer. Most serious students of metaphysics have entered the Bodhisattva Development Stage of their evolution. The Universal Law of Vibrational AttainmentThe entire Universe operates on the same principle of vibrational energy.
However in most cases, these methods are very cumbersome, and as a result people struggle to lock the numbers they are trying to remember into their long-term memory.It seems that we tend to struggle recalling numbers more today then ever before.
The scientists have proved that energy cannot die, it can only transform (reincarnate), and, by its very nature, energy must go forward or backwards, it cannot stand still, for to do so is stagnation, resulting in transformation. After all we are living in a world overrun with electronic personal organizers, computers, and mobile phones that store information with a few simple clicks. Your skin, which appears solid, is actually trillions of swiftly moving molecules orbiting each other at a specific vibrational rate; a physical life rate you have earned in the past as a result of how harmoniously or disharmoniously you have lived your past lives and your current life up until this moment in time. When you are harmonious for a lifetime, you will have attained the highest vibrational rate the God level.8. Although many of the major events in your life are Astrologically predestined, you always have free will to mitigate the impact of the event, or to transcend it entirely.
However, what if I was to ask you to try and remember the following chunks of numbers: 252  899  727  929Which list is easier to remember and recall?If you are like most people you will recall the chunks of numbers (2nd example) much more readily then trying to remember them individually (1st example). This will result from how you live your life up to the situation you have destined for yourself to experience.
If you give grace and mercy to others, are positive, loving, compassionate, and demonstrate by your action that you have learned past lessons, you can minimize disharmonious experiences!2.
As you obtain Master of life awareness and develop conscious detachment, you will be far less affected by worldly events than in the past. However, if you chunk the numbers into patterns that are of significance to you — you will be able to remember the sequence much more easily.For instance #25 could be your age, #1950 could be the year your Mum was born, and #2009 could be the current calendar year. If you respond with positive emotions, compassion and integrity, you have probably learned your karmic lessons and will not have to experience a similar situation in the future.9.
In such instances you must use your creativity and imagination to find association-chunks that work for you.

The Law of OneEvery Soul, living and discarnate, is connected at the level of the collective unconscious, deep within the Higher-Self. We are all part of a great energy gestalt called God, and because we are part of God, we are God. These two memory techniques are presented within the IQ Matrix map shown at the top of this post.
So, in living harmoniously, we each increase our vibrational rate and intensify the vibration of the entire gestalt.
In fact studies have shown that our memories are dramatically improved when we consciously create storyboards of the information we are trying to remember within our imaginations. When we are disharmonious, we decrease the vibration of the entire gestalt, because we are one, everything you think, say and do, affects every other Soul.10. These storyboards create associations and deep patterns within our minds, that make recalling information easy and effortless. If you are unhappy with your current reality, you must change your beliefs and your behavior. They give you their phone number, however you don’t have a means of recording it on paper or on a mobile phone. Beliefs can be changed when you recognize those that are not working for you, and begin programming what will create success and harmony in your life. The unlimited creative power of your mind, through dedication, awareness and training, can be the wisdom to rise above your Karma.
You imagine in your mind that…You are walking along a path in the forest when you suddenly see a beautiful big tree (#3). In regard to changing your behavior, you must decide which disharmonious behavior you want to eliminate.
When “you accept what is, you accept the unalterable realities in your life without resisting them. The bun looks somewhat unusual, which makes you feel a little cautious and hesitant to touch it with your hand. They exist, and no matter how much you resist them, there is nothing you are going to be able to do about them.
As you begin to poke, two heavenly angels appear to come out of the bun (#77) and fly straight up your nostrils.
Change what you can change, but have the wisdom to accept unalterable situations as they are, without wasting mental or physical energy attempting to change what you cannot change.
The ability to enjoy all the positive aspects of life, but to allow the negative to flow through you with out resistance and without affecting you.12. The Universal Law of GratitudeFrom the perspective of Karma and the Law of One, the more you give, the more you will receive.
However, this time you will create a storyboard by using number shape associations:As you are walking along a lake you come across a beautiful golden heart (#3) lying face down on the sand.
The Universal Law of FellowshipWhen two or more people of similar vibration are gathered for a shared purpose, their combined energy directed to the attainment of that purpose is doubled, tripled, quadrupled or more. You are about to reach down and pick up this heart, when all of a sudden a large snake (#5) wiggles out of the water and gobbles it up. This esoteric awareness has been used by covens, esoteric religions, healing groups, and recently, worldwide meditations for world peace.14. The snake swims away into the lake when suddenly a swan (#2) grabs the snake by the tail and flings it in your direction. The Universal Law of ResistanceThat which you resist you draw to you, and you will perpetuate its influence upon your life. As the snake flies through the air you notice that it has now turned into a paint brush (#1) and it is leaving streaks of color in the sky. The paint brush falls to your feet, when suddenly an elephant’s trunk (#6) reaches over, picks it up off the ground and chews it in its mouth. The Law of Resistance assures that you let go of the fear by encountering it until you are forced to deal with it by learning conscious detachment.15.
After chewing for a few moments, the elephant spits out 2 boomerangs (#77) and flings them through the air. The boomerangs soon angle-back in your direction and end up hitting you on the heart (#3).Yet again, this story should be easy to remember and recall. And it should only take you a few seconds to piece together when given a random sequence of numbers to remember.Final ThoughtsNumbers are relatively easy to remember and recall if we take time to learn and master a few simple techniques that enable us to fuse imagination and association together in creative ways.
There are of course other more advanced methods for remembering, storing and recalling numbers, however the techniques presented in this post should be enough to get your memory juices flowing, and will hopefully enable you to recall random number sequences far more effectively. So, if you want peace and harmony in your life, you must become peaceful and harmonious.16.
The Universal Law of ReflectionThis Law says that the traits you respond to in others, you recognize in yourself, both positive and negative. That which you resist and react to strongly in others is sure to be found within yourself;3. That which you resist and react to in others is something which you are afraid exists within you; and,4. That which you resist in yourself, you will dislike in others.In other words, you have chosen to incarnate upon the manifest plane to learn to rise above the effect of fear. Those fears will always be reflected in your reactions to others, Thus your goals are very obvious once you recognize how to perceive them.
As you let go of the fear, you automatically open to expressing more unconditional love.17.
The Universal Law of Unconditional LoveThe expression of unconditional love will eventually result in harmony. It is total acceptance of others without attempting to change them, except by our own positive example.
The Universal Law of Magnetic AffinitiesBy Astrologically choosing the time and place of your birth, you determine the nature or the effects you will experience in your life.
On the other side, before we are born, we make decisions about the lifetime we will be entering into.
You chose your parents, other souls to interact with you, and the Astrological configurations of your birth which determine your character, personality, abilities, restrictions, and timing for strengths and weaknesses.
If all of this seems too complicated to be real, be aware that you are only using five to ten percent of the capacity of your brain. And the brain-mind researchers say the human brain has 200,000 times the capacity of the greatest computer ever built. The Universal Law of AbundanceYou have within yourself everything required to make your earthly incarnation a paradise if you choose to accept that which is your divine birth-right. We live in a Universe of abundance, although the majority of those populating our planet appear to view it as a Universe of scarcity.20. The Universal Law of Divine OrderIf you seek to understand the Law of Divine Order, study the natural balance of nature, for it works very much the same way.
Everything is as it should be, although mankind (our energy gestalt) is far from experiencing its potential of total harmony.
Your energy, translated into thoughts, words, emotions, and deeds, causes all your experiences. This assures that you always have the learning opportunities you require to resolve your Karma, and, as with you, the collective thoughts, words, emotions, and deeds of mankind create the environment for us all. Queen Elizabeth To Abdicate Her Throne – What This Means To Humanity In5D Alternative News for May 20, 2016 It’s All Coming Together, RIGHT NOW!

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