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Zeno's paradoxes are a series of philosophical arguments presented by the ancient Greek philosopher Zeno of Elea (c. 490–430 BC), [ 1 ][ 2 ] primarily known through the works of Plato, Aristotle, and later commentators like Simplicius of Cilicia. [ 2 ] Zeno devised these paradoxes to support his teacher Parmenides 's philosophy of monism ...
An observer at rest observing an object travelling very close to the speed of light would observe the length of the object in the direction of motion as very near zero. Then, at a speed of 13 400 000 m/s (30 million mph, 0.0447 c ) contracted length is 99.9% of the length at rest; at a speed of 42 300 000 m/s (95 million mph, 0.141 c ), the ...
The change of motion of an object is proportional to the force impressed; and is made in the direction of the straight line in which the force is impressed. [ 14 ] : 114 By "motion", Newton meant the quantity now called momentum , which depends upon the amount of matter contained in a body, the speed at which that body is moving, and the ...
The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them: [10] Diagram of two masses attracting one another = where F is the force between the masses; G is the Newtonian constant of gravitation (6.674 × 10 −11 m 3 ⋅kg −1 ⋅s −2);
A vector, which has a magnitude and direction, would appear on a graph as a line, which is a one-dimensional object. A vector is a first-order tensor, since it holds one direction. A second-order tensor has two magnitudes and two directions, and would appear on a graph as two lines similar to the hands of a clock.
The location of L 1 is the solution to the following equation, gravitation providing the centripetal force: = (+) + where r is the distance of the L 1 point from the smaller object, R is the distance between the two main objects, and M 1 and M 2 are the masses of the large and small object, respectively.
At a sufficient distance, the speed at which the beam "moves" may exceed the speed of light. The lighthouse paradox is a thought experiment in which the speed of light is apparently exceeded. The rotating beam of light from a lighthouse is imagined to be swept from one object to shine on a second object. The farther the two objects are away ...
To compute the greatest distance D BL at which an observer B can see the top of an object L above the horizon, simply add the distances to the horizon from each of the two points: D BL = D B + D L. For example, for an observer B with a height of h B =1.70 m standing on the ground, the horizon is D B =4.65 km away.