General Physics I Final Exam Formula Sheet
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2Physics 111 General Physics I
Final Exam Formula Sheet
speed
= distance/ ∆t
ave
Linear Motion (Constant a):
Rotational Motion (Constant α):
v
= ∆x / ∆t = (v
+ v
) / 2
ω
= ∆θ / ∆t = (ω
+ ω
) / 2
ave
i
f
ave
i
f
a
= ∆v / ∆t
α
= ∆ω / ∆t
ave
ave
+ α t
v = v
+ a t
ω = ω
i
i
2
2
2
2
v
– v
= 2 a ∆x
ω
– ω
= 2 α ∆θ
f
i
f
i
∆x = v
t = (v
+ v
) t /2
∆θ = ω
t = (ω
+ ω
) t / 2
ave
i
f
ave
i
f
2
2
∆x = v
t + ½ a t
∆θ = ω
t + ½ α t
i
i
F
= ma
τ
= I α
net
net
Uniform Circular Motion:
Projectile Motion:
2
2
a
= v
/ R= ω
/ R
x = x
+ v
t
cp
0
0,x
2
2
2
F
= m v
/ R = m ω
/ R
y = y
+ v
t – ½ g t
cp
0
0,y
Forces:
Work, Energy and Power:
2
F
= ma
K = ½ mv
net
f
= µ
N
U
= mgh
k
k
g
2
f
≤ µ
N
U
= ½ k ∆x
s
s
spring
F
= – k ∆x
W
= ∆K = F
d = Fd cos θ
spring
net
parallel
2
F
= Gm
m
/ r
W
= ∆(K + U) = ∆ E
g
1
2
non-conservative
-11
2
2
G = 6.67 × 10
N·m
/kg
E= K + U = constant , if W
=0
non-conservative
2
g = 9.81 m/s
P = W / t
Quadratic Formula:
Center of Mass:
2
x = – b ± √ (b
– 4ac)
r
= ( ∑m
r
) / ( ∑ m
)
CoM
i
i
i
2a
v
= ( ∑m
v
) / ( ∑ m
) = p
/ ( ∑ m
)
CoM
i
i
i
system
i
Momentum and Impulse:
Angular Momentum:
p = mv
L = I ω
2
I = ∆p = F
t
I
= ∑m
r
average
particles
i
i
τ = F r
┴
If F
=0, p
= ∑m
v
=constant
τ
=∆L / ∆t = I α
extenal
system
i
i
net
(collisions)
If τ
=0 , L
= ∑ I ω =constant
extenal
system
Linear & Rotational Variables:
s = R ∆θ
v = R ω
constant speed rotation: T = 2 π R/v = 2π / ω
a
= R α
tan
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