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MECHANICS. 289
T= Time in seconds in which the force F acts upon a
body free to move.
7/ — Final velocity acquired by the moving body in the
time of T seconds.
F=m G
7^
G = JL
m
v= TG
’ = -? ^^ v __ F
T m
v m’ = F T
_ F r
m
FT
m —
:
V
F _ vm T vm
T F
When a moving body is arrested the product of the resist-
ance and time is equal to its momentum. Thus:
R T— v m R T R T
T=
R
R= Constant resistance in pounds acting against the
moving body.
The average velocity of the moving body is half of the final
velocity, and the space passed over by the moving body when
acquiring the given velocity is half of the final velocity in feet
per second multiplied by the time in seconds. Thus :
S — -i- X T
9.
F T2 = 2 S m
’IS
S = Space in feet.
26" FT
^2 S
S =
F
FT2
The work in foot-pounds required to overcome the inertia of
a given body when brought from a state of rest to a given
velocity is equal to the kinetic energy stored in the moving
body. Thus
:
2 2 2
K = Kinetic energy stored in the moving body.
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