The following formulas or concepts should be learned by heart when you prepare
for the test.
x
x
y
y
z
A B
A B
A B
A B
⋅
=
+
+
G
G
z
Or
cos
A B
AB
φ
⋅
=
G
G
when A and B is the magnitude of
A
G
and
B
G
ˆ
ˆ
ˆ
x
y
z
x
y
z
i
j
k
A
B
A
A
A
B
B
B
×
=
G
G
(you should know how to calculate this) or
sin
A
B
AB
φ
×
=
G
G
You should know how to determine the direction of the vector product.
F
ma
=
G
G
0
v
v
at
=
+
2
0
0
1
2
x
x
x
x
v t
a t
=
+
+
or
2
0
1
2
oy
y
y
y
v t
a t
=
+
+
Centripetal acceleration :
2
v
a
r
=
Frictional force :
f
n
μ
=
n: normal force
Kinetic energy :
2
1
2
mv
Work done by force :
W
F d
=
⋅
∫
G
G
s
Work-energy theorem :
2
2
1
1
2
2
tot
f
i
W
mv
m
=
−
v
Power :
dW
P
dt
=
Potential energy by gravity :
mgh

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