Relativity for All

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In this way the idea of matter became absolute. Change of motion was due entirely to change of' velocity, the mass remaining constant all the time. Newton's law of force, therefore, amounted to a statement that the force acting on a body was equal to the product of the mass and the change of velocity (or, the " acceleration ") which it produced. Newton had now provided himself with general laws expressing the possible motions of matter. He had next to apply them to the facts of Nature, and see ...if it were possible to devise a single force that would give rise to the varied motions actually observed. The problem was no easy one ; it required a Newton to solve it. A stone fell in a constant direction, but with varying speed ; the Earth revolved with almost uniform speed, but with continually changing direction. Moreover, a heavy body fell from a given height to the Earth in the same time as a light one. All these experi- mental facts had to be the inevitable result of one simple hypothesis.

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