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electric potential energy (Ep)=
-GMM/ r (scalar unit joules)
work to lift an oject
Epi + W = Epf
work to lift in orbit
Epi + W = Epf + Ekf.. or ½ Epf
F=mac circular motion
ac= v²/r or 4π²r/ T²
velocity unit
m/s
centripetal force unit
N
magnitude of centripetal acceleration
m/s²
SCENARIO 1: object on a string
FT= FC
car around a curve
FC= Ffr
mac=μFN
usually μmg
pig
FC= FTx
in x FTx= FC
FT sin=mac
in y FTcos
mg=FTcos
vertical ciruclar motions
at top:
FC= FT +FG
at bottom:
FC= FT - Fg
if outside circle
FC= Fg - Fn
for objects in orbit
force of gravity from central object keeps object in orbit
universal gravitation formulas
Fg= Fc, ac= g = GM/ r²
v²/r =…
GM/ r² = 4π²r/ T²u
centripetal acceleration unit (ac)
N
gravitational field strength unit (g)
N/kg
acceleration due to gravity unit
m/s²
ETOTAL=
-GMm/2r
to move smth from one height to another
Epi+ W= Epf
launching smth from planet surface to h
Epi + Eki= Epf
ETOTAL (In orbit)
ET = Ep or EK= -½ Wpsuraf
surface into orbit
-GMm/ri + W = - GMm/2rf
orbit into orbit
½ Epi + W = ½ Epf
elementary charge
smallest division of charge (+ proton, - electron_
interactions with charges
like repel, opposite attracts
electrostatics equations
FE= KQq/ r², left - right if positive left, if negative right
electric fields
exist around any charged object, determines how much electric force acts on a chrage placed at a locationF
F= Eq
Force= N
E= electric field N/C
Q= charge in C
electric field lines show how positive charge will move..
+ away from +
+ towards -
how does + charge move in b fields
moves with field lines
how does - charge move in b field
goes agiainst field lines
E= KQ/ r²
E= electric field N/s, vector
v =
KQ/ r = Ep/ Q, scalr unit volt (J/C)
accelerating parallel plate system
used to speed up charges Q△v = △EK
deflecting parallel plate sysytem
used to change direction of charge E= △v/d
F= EW
F=ma
m= △v/d (Q)
magnets
material that creates magnetic field
magnetic forces
like repel, opposite attract
magnetic field
tells direction that north end of compass will point when placed in magnetic field (VECTOR)
unit = T = N/cm/s
b moves..
away from north, towards south
RHR #1
force on a current carrying wire
fingers - b
thumb - i
palm - force
F= BiL
RHR #2
force on a moving charge
finger - b
thumbs - v
force - palm +, knuckles -
Fb= QvB
the calculation for RHR #2
QB= mv/ r
F = ma
RHR #3
fingers - curl to b
thumb- curl to i
i out = ccw
I in = cw
B=μ(N/L)(i)
RHR #4
direction of B in solenoid
fingers - curl to i
thumb - b
magnetic induction
can use magnets to generate electricity
requires change in amount of B field passing through solenoid
magnetic flux
amount of b passing through an area
flux unit
wb
inducing current
creates voltage (electromotive)
E=-N△flux/△t
N= # loops in wire
the negative sign tells us..
induces current creates a b to oppose the change in flux
if b gets STRONGER or loop WEAKER
△B= IN
BIND= OUT
I CCW
if b gets WEAKER, loop STRONGER, or changes direction
△B= OUT
BIND= IN
I CW
magnetic inductionin moving conductor
seperating charge creates E
E= BLv
V= IR
if b field INCREASES, E-
if b field DECREASES, E+
transformers
device that uses magnetic induction to convert voltage for different usesstep
step up
v increases from low to high
step down
v decreases form high to low
transformers theory
current is created in secondary coil by b created in primary
vp/vs = is//ip = np/ns