deda
Apr15-04, 12:37 PM
Newton says: “A body accelerates proportionally with the force it carries and reciprocally to its mass”. His equation is:
\frac {F}{m} = \frac {d^2x}{dt^2}
So, what Newton does is consider the position changing while time goes by and while the force and mass remain constant. Conclusively, if the stone is lighter I can throw it further away. This way the mass becomes criterion for how inert one body is. But if the lighter and the heavier stone throw each other then they will do it with equal and opposite forces. So:
F_1 = -F_2 <=> \frac {M_1}{M_2} = - \frac {a_1}{a_2}
\frac {F_1}{M_1} <> \frac {F_2}{M_2}<=> a_1 <> a_2
Archimedes says: “Magnitudes are in equilibrium on reciprocally proportional distances from the center”. His equation is:
\frac {F_1}{F_2} = \frac {D_2}{D_1} = \frac {M_1}{M_2}
And if the forces and masses are again constant then:
\frac {F_1}{F_2} = \frac {dD_2}{dD_1} = \frac {M_1}{M_2}
So, the heavier body will carry more force and will pass smaller distance. Actually the fact that the mass is criterion for how inert one body is comes from Archimedes. Among the differences between the two physics, Archimedes’s one is time - independent.
I tell you: Our physics starts with Archimedes and that physics takes wrong direction when little Newton comes up with his mirage. We cannot blame the kids because they tell the truth even when they lie, yet we cannot consider them seriously.
\frac {F}{m} = \frac {d^2x}{dt^2}
So, what Newton does is consider the position changing while time goes by and while the force and mass remain constant. Conclusively, if the stone is lighter I can throw it further away. This way the mass becomes criterion for how inert one body is. But if the lighter and the heavier stone throw each other then they will do it with equal and opposite forces. So:
F_1 = -F_2 <=> \frac {M_1}{M_2} = - \frac {a_1}{a_2}
\frac {F_1}{M_1} <> \frac {F_2}{M_2}<=> a_1 <> a_2
Archimedes says: “Magnitudes are in equilibrium on reciprocally proportional distances from the center”. His equation is:
\frac {F_1}{F_2} = \frac {D_2}{D_1} = \frac {M_1}{M_2}
And if the forces and masses are again constant then:
\frac {F_1}{F_2} = \frac {dD_2}{dD_1} = \frac {M_1}{M_2}
So, the heavier body will carry more force and will pass smaller distance. Actually the fact that the mass is criterion for how inert one body is comes from Archimedes. Among the differences between the two physics, Archimedes’s one is time - independent.
I tell you: Our physics starts with Archimedes and that physics takes wrong direction when little Newton comes up with his mirage. We cannot blame the kids because they tell the truth even when they lie, yet we cannot consider them seriously.