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Mechanics formulae
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Constant velocity
v =
d
/
t
SUVAT EQUATIONS
(acceleration is
constant)
v
=
at
+ u
s =
ut
+ (1/2)
at
^2
s =
vt
- (1/2)
at
^2
s = ((
v
+
u
)/2)
t
2as =
v
^2 -
u
^2
Acceleration (has to be constant)
a = (
v
-
u
) /
t
Newton’s first law
F =
ma
When the object is in free fall (no
air resistance
),
acceleration
is
10
going down, and
-10
going up
W =
mg
(gravity is always
10
)
To get the angle between two force vectors
angle =
tan^-1
(Fv/Fh)
Friction
= mu times
resistance
Momentum
p =
mv
p2 - p1 =
m1v- m2v
Work done =
force * distance
Work done = s * cos(angle) * force
KE = (1/
2
)
mv
^2
Power =
Work
/
time
=
force
*
velocity
dv / dt =
a
the gradient of a velocity time graph is equal to
acceleration
f(
vdt
) =
s
the integral of velocity in respect to time is equal to displacement
ds / dt =
v
the gradient of a distance time graph =
velocity
f(adt) =
v
the integral of acceleration is respect to time is equal to
velocity
GPE =
m
*
g
*
change in height
Gravitation potential energy is equal to
mass
times
gravity
times change in
height
The work energy principle
Change in
potential
energy + change in
kinetic
energy =
Work
done
of forces
Maximum power
=
maximum speed
*
driving force
√3/2 =
cos30
and
sin60
√2 / 2 =
cos45
and
sin45
1/2 =
cos60
and
sin 30
1/√3 =
tan30
1 =
tan45
√3 =
tan60
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