Physics4AEquationSheet - PHYSICS 4A EQUATION SHEET r = rf...

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
=