The First Law
Lex I: Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum illum mutare.The first law states that if the net force (the vector sum of all forces acting on an object) is zero, then the velocity of the object is constant. Velocity is a vector quantity which expresses both the object's speed and the direction of its motion; therefore, the statement that the object's velocity is constant is a statement that both its speed and the direction of its motion are constant.
PhilosophiƦ Naturalis Principia Mathematica, The Book that contained The Three Newton Kaws |
F=0 <=> dv/dt=0The Second Law
Lex II: Mutationem motus proportionalem esse vi motrici impressae, et fieri secundum lineam rectam qua vis illa imprimitur.
The second law states that the net force on an object is equal to the rate of change (that is, the derivative) of its linear momentum p in an inertial reference frame. Mathematically its :
F=m.a <=> F=m.dv/dtThe Third Law
Lex II: Mutationem motus proportionalem esse vi motrici impressae, et fieri secundum lineam rectam qua vis illa imprimitur.
The third law states that all forces exist in pairs: if one object A exerts a force A on a second object B, then B simultaneously exerts a force B on A, and the two forces are equal and opposite (The Action And Reaction Principal.
Fa=Fb
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