Biomedical Engineering Reference
In-Depth Information
1.6.2 Newton's Second Law (Mass and Acceleration)
The action of a nonzero resultant force on a body produces change in the vector
velocity, that is, produces an acceleration
a
. This acceleration is proportional to the
intensity of a net force
F
and inversely proportional to the mass
m
of the body, that is,
a
¼
F
=
m
:
Then, we can write that
F
¼
ma
. The unit of velocity in SI is m/s, and as
acceleration is given by
a ¼
Δ
v=
Δ
t
;
t
, its unit in SI is m/s
2
. Therefore,
the unit of force is kg m/s
2
which receives the special name newton, N, to honor the
father of classical mechanics, Isaac Newton (1642-1727).
that is, the rate of change of speed
Δ
v
with time
Δ
Exercise 1.4
What force should act on a ball of 0.6 kg mass, through a kick,
to acquire an acceleration of 40 m/s
2
?
1.6.3 Newton's Third Law (Action and Reaction)
Force is a consequence of the interaction between two bodies. The third law states
that for each action force corresponds a reaction force of equal intensity but
opposite direction. Action and reaction act on different bodies. In the examples of
Fig.
1.1
, the forces (action forces) applied on an object were depicted. The forces of