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The Second law of Newton
In the
formulation of the second law Newton has entered concepts:
·
Acceleration - vector size (Newton named its quantity of movement and
considered at a formulation of a rule of a parallelogram of speeds),
defining speed of change of speed of movement of a body.
·
Force - the vector size understood as a measure of mechanical influence
on a body from other bodies or fields as a result of which influence
a body gets acceleration or changes the form and the sizes.
·
Weight of a body - physical size - one of the basic characteristics
of the matter, defining its inertial and gravitational properties.
The
second law of mechanics says: the force acting on a body, is equal to
product of weight of a body on acceleration informed by thus force.
Its modern formulation is those. Newton has formulated it differently:
change of quantity of movement to proportionally enclosed operating
force also occurs in a direction of that straight line on which this
force operates, and in inverse proportion to weight of a body or mathematically:

On experience it is easy to confirm
this law, if to the end of a spring to attach the carriage and to release
a spring in time t the carriage will pass a way s1 (fig. 1), then to
attach to the same spring two carriages, i.e. to increase weight of
a body twice, and to release a spring for same time t they will pass
a way s2, twice smaller, than s1.

This law also is fair only in
inertial systems of readout. The first law from the mathematical point
of view represents a special case of the second law, because if equally
effective forces are equal to zero also acceleration also is equal to
zero. However the first law of Newton is considered as the independent
law since it approves about existence of inertial systems.