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" "2. Energy of position is quite a different thing. If take a book lying on the table and lift it up, and put on the desk above the table, it acquires energy of position, and the energy acquired is measured by the weight [assuming gravity to be constant] of the book measured by the difference of height between the two positions. [Energy of position, like force, may be said to exist any point of space, whether a body is there or not.] The difference of energy between two positions is the quantity of work that must be done to remove a body of unit from one position to the other.
William Kingdon Clifford (May 4, 1845 – March 3, 1879) was an English mathematician and philosopher.
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Force cannot be explained without stating a law of nature concerning momentum, viz.:—
Suppose a body with a certain momentum to be the only body in the universe; it will go on with the same momentum.
The case of bodies in contact is no exception to this law, but only a particular case. Here the change of motion is called pressure. The case of bodies not in contact is illustrated by the motion of the earth about the sun [under the force of gravitation, as we call it].
In all cases change of motion is connected by invariable laws with the position of surrounding bodies. Force, then, has a definite direction [at every instant] at any point in space, and depends on the position of surrounding bodies, and may be described as the change of momentum of a body considered as depending upon its position relative to other things. It embodies the quality of direction as well as magnitude. In other words, it is a quantity having direction.
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It might be said to the agitator, "However convinced you were of the justice of your cause and the truth of your convictions, you ought not to have made a public attack upon any man's character until you had examined the evidence on both sides with the utmost patience and care." In the first place, let us admit that, so far as it goes, this view of the case is right and necessary; right, because even when a man's belief is so fixed that he cannot think otherwise, he still has a choice in the action suggested by it, and so cannot escape the duty of investigating on the ground of the strength of his convictions; and necessary, because those who are not yet capable of controlling their feelings and thoughts must have a plain rule dealing with overt acts.