The Enterprise Mission Physics Lab One of the most surprising results of the continuing year-old "Enterprise" investigation of potential solar system "ET artifacts," has been the rediscovery as part of that investigation of a little-known year-old scientific discipline now clearly outlined in the "ruins"-- The field of "Hyperdimensional physics. The field itself began over a hundred years ago, as part of a burgeoning scientific inquiry by 19th-Century mathematicians and physicists into theoretical "non-Euclidian" geometries geometries involving spatial dimensions in addition to "length, breadth and height"and a set of specifically predicted physical interactions of energy and matter determined by those "non-Euclidian geometries. Imagine the shock, then, as this Investigation rediscovered -- in -- identical Hyperdimensional geometric indicators to an identical Hyperdimensional physics
The Value of g As discussed earlier in Lesson 3Isaac Newton compared the acceleration of the moon to the acceleration of objects on earth.
Believing that gravitational forces were responsible for each, Newton was able to draw an important conclusion about the dependence of gravity upon distance. This comparison led him to conclude that the force of gravitational attraction between the Earth and other objects is inversely proportional to the distance separating the earth's center from the object's center.
But distance is not the only variable affecting the magnitude of a gravitational force. And since the force acting to cause the apple's downward acceleration also causes the earth's upward acceleration Newton's third lawthat force must also depend upon the mass of the earth.
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 law of universal gravitation is about the universality of gravity.
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. ALL objects attract each other with a force of gravitational 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.
Newton's conclusion about the magnitude of gravitational forces is summarized symbolically as 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.
So as the mass of either object increases, the force of gravitational attraction between them also increases. If the mass of one of the objects is doubled, then the force of gravity between them is doubled. If the mass of one of the objects is tripled, then the force of gravity between them is tripled.
If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on.
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. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
If the separation distance between two objects is doubled increased by a factor of 2then the force of gravitational attraction is decreased by a factor of 4 2 raised to the second power.
If the separation distance between any two objects is tripled increased by a factor of 3then the force of gravitational attraction is decreased by a factor of 9 3 raised to the second power. Thinking Proportionally About Newton's Equation The proportionalities expressed by Newton's universal law of gravitation are represented graphically by the following illustration.
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.
Another means of representing the proportionalities is to express the relationships in the form of an equation using a constant of proportionality. This equation is shown below. The constant of proportionality G in the above equation is known as the universal gravitation constant.The Law of Universal Gravitation states that every object in the universe attracts every other object in the universe with a force that has a magnitude which is directly proportional to the product of their masses and inversely proportional to the distance between their centers squared.
Gravitational Fields School administrators generally do not allow physics classes to take field trips to other planets to study gravitational forces. The lab has the following goals: To relate gravitational force to the masses of objects and the distance between objects. - To explain Newton's third law for gravitational forces.
- To design experiments that allow the user to derive an equation that relates mass, distance, and gravitational force.
Using Newton's Gravitation Equation to Solve Problems. 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. Newton's revolutionary idea was that gravity is universal - ALL objects attract in proportion to the product of.
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Testing Quantum Gravity in table-top experiments.