Formula Sheet
"x = x f # x i
W = F"r cos#
1
K = mv 2
2
U = mgy
1
U = k("x) 2
2
K i + U i + W nc = K f + U f
!
g = 9.8 m /s2
"Fx = max
W = mg
f s,max = µk N
"x
vx =
"t
"v
ax = x
"t
1
"x = v ix "t + ax "t 2
2
v fx = v ix + ax "t!
v fx 2 # v ix 2 = 2ax "x
m1m2
r2
M
g = G 2E
RE
F =G
!
!
s = r"
v = r#
a = r$
v2
v2
ar = , Fr = m
r
r
!
GM
r
2"r
v=
T
G = 6.67 #10$11 N.m 2 /kg 2
v=
1
"# = $ i"t + %"t 2
2
$ f = $ i + %"t
$ f 2 & $ i 2 = 2%"#
v = rgtan #
v ' µgr
M E = 6 #10 24 kg
RE = 6400 km
M moon = 7.3 #10 22 kg
Rmoon = 1740 km
Earth to Moon distance = 384000 km
Earth to Sun distance = 150,000,000 km
F
A
F1 A1
=
F2 A2
P2 = P1 + "gd
Pgauge = Pabs # Patm
P=
!
" = rF sin #
!
I = $mr 2
" = I%
1
K = I& 2
2
L = I&
'L
"=
't
W = "'#
Fbuoyant = "Vdisplaced g
$V
= A1V1 = A2V2
$t
1
1 2
2
P2 + "gy 2 + "v 2 = P1 + "gy1 + "v1
2
2
!
P = mv
Pi = Pf
F=
"P
"t