Download Unit 1 Forces and Motion: Dynamics

Equation Tables
LSM U.1-EQ
Unit 1 Forces and Motion: Dynamics
Concept
Variables Involved
Equation
average speed
vav average speed
d
vav t
d total distance
t time interval
average velocity
vav average velocity
displacement or change in position
d
d2 d1
d
vav t
t
t time interval
d2 final position
d initial position
1
instantaneous velocity
v instantaneous velocity
displacement
d
t time interval
motion in two dimensions
total displacement
d
displacement 1
d
1
displacement 2
d
d
v lim t→0 t
d
d
…
d
1
2
2
vf vi
v
aav t
t
average acceleration
aav average acceleration
v change in velocity
t time interval
vf final velocity
vi initial velocity
instantaneous acceleration
a instantaneous acceleration
v change in velocity
t time interval
constant acceleration
equations
displacement
d
a acceleration (constant)
t time interval
vav average velocity
vf final velocity
vi initial velocity
v t 1a(t )2
d
i
2
( vi vf )
v t d
t
av
2
aav,x x-component of the average acceleration
vx change in the x-component of the velocity
t time interval
vfx x-component of the final velocity
vix x-component of the initial velocity
aav,y y-component of the average acceleration
vy change in the y-component of the velocity
vfy y-component of the final velocity
viy y-component of the initial velocity
v
vfx vix
aav,x x t
t
acceleration components
v
a lim t→0 t
vf2 vi2 2ad
v t 1a(t )2
d
f
2
vy
vfy viy
aav,y t
t
(continued)
Copyright © 2003 Nelson
Equation Tables xi
LSM U.1-EQ
Concept
Variables Involved
Equation
constant vertical acceleration
(including the vertical
component of projectile motion)
ay y-component of the acceleration
vfy y-component of the final velocity
viy y-component of the initial velocity
t time interval
y vertical displacement
vfy viy
ay t
1
y viy t ay (t )2
2
(viy vfy )
y t
2
vfy2 viy2 2ay y
1
y vfy t ay (t )2
2
horizontal component of
projectile motion
vix x-component of the initial velocity
x horizontal displacement
t time interval
x
vix t
relative velocity
vPE velocity of P relative to E
vPA velocity of P relative to A
vAE velocity of A relative to E
vPE vPA vAE
Newton’s second law of motion
(including components)
a average acceleration
F net force
m mass
Fx x-component of the net force
ax x-component of the acceleration
Fy y-component of the net force
ay y-component of the acceleration
F
a m
F weight or force of gravity on an object
g
m mass
gravitational field strength or acceleration due to gravity
g
F mg
g
Ff force of friction
Ff mFN
FN normal force
mS coefficient of static friction
FS,max maximum static friction
mK coefficient of kinetic friction
FK kinetic friction
S,max
mS ac centripetal acceleration
v speed
r radius
T period
f frequency
F magnitude of the net force
m mass
v2
4p 2r
ac 4p2r f 2
r
T2
FG gravitational force
G universal gravitational constant
m1 mass of object 1
m2 mass of object 2
r distance between the centres of the objects
Gm1m2
FG r2
weight
friction
m coefficient of friction
uniform circular motion
universal gravitation
xii Equation Tables
Fx m ax
Fy m ay
F
FN
F
K
mK FN
mv 2
4p2mr
4p2mrf 2
F r T 2
Copyright © 2003 Nelson