![]() ![]() ![]() It is this quantity that I mean hereafter everywhere under the name of body or mass. I have no regard in this place to a medium, if any such there is, that freely pervades the interstices between the parts of bodies. The same thing is to be understood of snow, and fine dust or powders, that are condensed by compression or liquefaction and of all bodies that are by any caused whatever differently condensed. Thus air of double density, in a double space, is quadruple in quantity in a triple space, sextuple in quantity. Innotescit ea per corporis cujusque pondus: Nam ponderi proportionalem esse reperi per experimenta pendulorum accuratissime instituta, uti posthac docebitur. Hanc autem quantitatem sub nomine corporis vel masse in sequentibus passim intelligo. Medii interea, si quod fuerit, interstitia partium libere pervadentis, hic nullam rationem habeo. Et par eft ratio corporum omnium, quæ per caufas quascunque diversimode condensantur. Idem intelige de nive & pulveribus per compressionem vel liquesactionem condensatis. The quantity of matter is the measure of the same, arising from its density and bulk conjunctly.Īer densitate duplicata, in spatio etiam duplicato, sit quadruplus in triplicato sextuplus. Quantitas materiæ est mensura ejusdem orta ex illius densitate et magnitudine conjunctim. We now call them "mass" and "momentum", respectively. Newton also defined what he called "the quantity of matter" and "the quantity of motion". And this motion being always directed the same way with the generating force, if the body moved before, is added to or subtracted from the former motion, according as they directly conspire with or are directly contrary to each other or obliquely joined, when they are oblique, so as to produce a new motion compounded from the determination of both. If any force generates a motion, a double force will generate double the motion, a triple force triple the motion, whether that force be impressed altogether and at once, or gradually and successively. Et hic motus quoniam in eandem ſemper plagam cum vi generatrice determinatur, ſi corpus antea movebatur, motui ejus vel conſpiranti additur, vel contrario ſubducitur, vel obliquo oblique adjicitur, & cum eo ſecundum utriuſque determinationem componitur. Si vis aliqua motum quemvis generet dupla duplum, tripla triplum generabit, ſive ſimul & ſemel, ſive gradatim & ſucceſſive impreſſa fuerit. The alteration of motion is ever proportional to the motive force impressed and is made in the direction of the right line in which that force is impressed. Mutationem motus proportionalem eſſe vi motrici impreſſæ, & fieri ſecundum lineaum rectam qua vis illa imprimitur. This is more compactly written as an equation that combines these relationships… a =įor a variety of reasons, Newton's second law of motion is often written with net force as the subject of the equation like this… Newton's second law of motion states that acceleration is directly proportional to net force when mass is constant… a ∝Īnd that acceleration is inversely proportional to mass when net force is constant… a ∝Īnd that net force is directly proportional to mass when acceleration is constant… ∑ F ∝ ![]() different objects with same acceleration (how?).different objects with same forces (result?).different forces on same object (result?). ![]()
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