Phys1001 Physics 1 (Regular) Formula Sheet
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3CC1529
Semester 1, 2015
Page 1 of 3
PHYS1001 Physics 1 (Regular) Formula Sheet
Vectors
Kinematics
r = x ˆ i + y ˆ j + z ˆ k
ˆ i + A
ˆ j + A
ˆ k
A = A
x
y
z
r
r
∆r
2
1
2
2
2
A = A =
A
+ A
+ A
v
=
=
x
y
z
av
t
t
∆t
2
1
R = A + B = B + A
∆r
dr
v = lim
=
R
= A
+ B
, R
= A
+ B
, R
= A
+ B
∆t
dt
∆t
0
x
x
x
y
y
y
z
z
z
dx
dy
dz
v
=
,
v
=
,
v
=
A B = AB cos φ = A B cos φ
x
y
z
dt
dt
dt
v
v
∆v
A B = A
B
+ A
B
+ A
B
2
1
x
x
y
y
z
z
a
=
=
av
t
t
∆t
2
1
C = A
B,
C = AB sin φ
∆v
dv
a = lim
=
C
= A
B
A
B
,
C
= A
B
A
B
,
x
y
z
z
y
y
z
x
z
z
∆t
dt
∆t
0
C
= A
B
A
B
dv
dv
dv
z
x
y
y
x
x
y
z
a
=
,
a
=
,
a
=
x
y
z
dt
dt
dt
Simple motions
Force and Momentum
Constant acceleration in one direction:
v = v
+ at
F = ma,
F
=
F
0
A on B
B on A
1
w = mg
2
x = x
+ v
t +
at
0
0
2
f
= µ
n,
f
µ
n
k
k
s
s
2
2
v
= v
+ 2a(x
x
)
0
0
d P
v
+ v
=
F
0
ext
x
x
=
t
dt
0
2
t
2
J = p
p
=
F dt,
M =
m
2
1
i
Projectile motion:
i
t
1
x = (v
cos α
)t
dp
0
0
p = mv,
F =
,
F
= M a
1
ext
cm
dt
2
y = (v
sin α
)t
gt
0
0
2
P = m
v
+ m
v
+ m
v
+ . . . = M v
1
1
2
2
3
3
cm
v = v
cos α
0
0
m
r
i
i
m
r
+ m
r
+ m
r
+ . . .
v
= v
sin α
gt
1
1
2
2
3
3
i
y
0
0
r
=
=
cm
M
m
+ m
+ m
+ . . .
1
2
3
Uniform circular motion:
2
2
v
4π
R
2
a
=
= ω
R =
rad
2
R
T
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