for Information the Quiz on Ch. 7 & 8
Fundamental Concepts Things you must know: (1) Definition of and approximation for average velocity (and the position update formula) 1 (2) Definition of momentum = 2 1 - ( v c) (3) The Momentum Principle (also, the momentum update formula and derivative form) (4) Definitions of total energy, rest energy, and kinetic energy of a particle (5) The Energy Principle be able to apply to "point particle" systems and real systems Specific Results 2 y f = yi + vyi t - 1 g ( t ) x f = xi + vxi t 2 vxf = vxi vyf = vyi - gt
Projectile Motion:
m1m ^ Fgrav on 2 by 1 = -G 2 2 r r Fgrav mg near Earth's surface 1 q1q2 ^ Felec on 2 by 1 = r 4 0 2 r Fspring = ks s
U i 1 ks s 2 - Em 2 ^ Fair - 1 C Av 2 v 2
U grav = -G
m1m2 grav r
U mgy near Earth's surface
U elec =
1 q1q2 4 0 r
U spring = 1 ks s 2 2
Ethermal = mCT Fbuoyancy = weight of displaced fluid
E 2 - ( pc ) = mc 2
2
K 1 mv 2 = 2
Y=
p2 for v << c 2m
(
)
2
W = F r (small displacement)
FT A ( macro ) L L dp ^ F|| = p dt
x ( t ) = A cos ( t )
Y=
Multiparticle Systems:
^ dp v ^ F = p = p n dt R k = s m m r + m1 r1 + ... rcm = 1 1 m1 + m2 + ...
2 K trans 1 Mvcm 2
ks,i d
( micro )
v=d
ks,i...