PHYSICS 4A EQUATION SHEET
f
i
r
r
r
∆
=
−
G
G
G
Displacement
r
v
t
∆
=
∆
G
G
Average velocity
dt
r
d
v
G
G
=
Instantaneous
velocity
v
a
t
∆
=
∆
G
G
Average
acceleration
2
2
dt
r
d
dt
v
d
a
G
G
G
=
=
Instataneous
acceleration
o
v
v
at
=
+
Velocity as
function of time
2
(1/ 2)
o
o
x
x
v t
at
=
+
+
Position as
function of time
2
2
2 (
)
o
o
v
v
a x
x
=
+
−
Velocity as
function of position
2
o
o
v
v
x
x
t
+
=
+
Position as function
of velocity and time
2
r
v
a
r
=
Radial (centripetal)
acceleration
F
ma
=
∑
G
G
Newton’s 2
nd
Law
w
mg
=
Weight of a body
k
k
f
N
µ
=
Kinetic friction
force
N
f
s
s
µ
≤
Static frictional
force
cos
W
F
s
Fs
θ
=
•
=
G
Work done by
constant force
∫
•
=
2
1
s
d
F
W
G
G
Work done by a
non-constant force
s
F
kx
= −
Spring force
(Hooke’s Law)
2
2
(1/ 2)
(1/ 2)
s
i
f
W
kx
kx
=
−
Work done by
spring force
W
applied
= -
W
s
Work done by
applied force
K=(1/2)mv
2
Kinetic energy
net
f
i
W
K
K
K
=
−
= ∆
Work-Energy
Theorem
K
s
d
F
W
net
net
∆
=
•
=
∫
2
1
G
G
Work-Energy
Theorem
P
ave
=
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- Spring '11
- Luna
- Physics, Force, Kinetic Energy, dt, dt dt
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