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energy
the measure of an objects ability to change its surroundings
unit for energy
joules (J) is the unit for energy
is energy is a vector or scalar
energy is a scalar with no direction
kinetic energy (KE)
energy of motion, mass and velocity affect KE
mechanical energy (ME)
kinectic energy and gravitational potential energy
KE is directly proportional to the square of the velocity, meaning…
KE is directly proprotional to the square of the velocity, meaning that if velocity changes by a factor of x, KE changes by a factor of x², so if velocity increases by 5, KE increasees by 25
potential energy
potential energy is the energy stored in an object as a result of its positional
KE equation
KE=1/2mv²
PE equation
PE=mgh
whatever height does, PEgrav does?
whatever height does, GPE does the same
the “zero level”
the zero height level is the arbitarily assigned 0 height from which the height of any object is measured
ME:
KE:
GPE:
ME: KE+PE, at any moment in time
KE: energy of motion
GPE: stored energy, potential to become KE
conservation of energy
gravity (internal force) is in the system
law of conservation of mechanical energy
in a closed, isolated system the total mechanical energy stays the same
becasuse of GPEm gravity is an internal force for energy
closed system
no objects enter or leave
isolated system
no object from outside the system puts a net force on an object in the system
examples of NOT isolated system
freefall, inclilnes, a lot of frice, applied force (gravity/free IS an internal force for energy)
external force
A force acting on an object in the system from another object that is outside of the system. If these forces are not balance out by another external force they will cause a change in the total momentum of the system.
internal force
A force acting on an object in the system from another object within the system. These forces can cause momentum transfers within the system, however they do not change the total momentum of the system.
momentum is directly proportional to
momentum is directly proportional to mass and velocity (p=mv)
to compare change in momentum use
to compare change in momentum, use: change in momentum=m(change in velocity)
closed system
no objects enter or leave
use equal but opposite changes in momentum to
use equal but opposite changes in momentum to explain conservation
how to set up a ptotal=p’total equation?
firgure out what type of collisions, draw before and after diagrams, find the momentum (p=mv) of each object before and after, plug in and solve
GPE
energy stored in an object as the result of its position within the earthes gravitatioal field, GPE=mgh
compare two locations using energy
KEi+GPEi=KEf+GPEf
work
how much energy transformation is caused by a force
cos(𝜃)
where θ is the angle between the force and displacement vector
unit for work
the unit for work is Nm=joule
is work a vector or scalar
work is a scalar
+work vs. - work
they are not showing direction, + transfers energy to an object, - transfers enegy from object
work is equal to
work is equal to change in energy
work done to raise something to a higher height
work done to raise something to a higher height = change in GPE
work done to change the speed of an object
work done to change the speed of an object = change in KE
unless specifically specified assume…
unless specifaically specided assume its one or the other: work to change hiehgt or speed
gravivy is the only _ force
gravity is the only conservative force
non-conservative work
work done by any other force would be non-conservative work (Wnc)
this is same as internal vs external
in an isolsted sytem there is no external force doing work to change the energy so …
in an isolated system there is no external force doing work to change the energy so the total ME stays the same
if there are external (non-conservative) force doing work the mechanical energy of the system will…
id there are external (non-conservative) forces doing work the mechanical energy of the system will change
mechanical advantage
simple machines are designed to give the user a mechanical advantage when doing work on an object
with a mechanical advantage, what happens to all the values?
same change in energy, same work. the advantage is less F, the trade off is larger distance.
overall, work done always the same, but you can trade force for distance
power
rate at which work is done
symbol for power
symbol for power is P
unit for power
unit for power is Watt (W)
scientifc notation - determine exponent pos or neg
positive exponent if large number
negatice exponent if tiny number
charge
is a property of certain subatomic particles, it causes those particles to exert forces on each other over a distance. (this is electric charge. gravitational charge would be mass)
in an atom, what sign is proton, electorn and neutron
proton: + charge
electron: - charge
neutron: no charge (electrically neutral)
how do charges interact (electic force)
opposite charges attract, like charges repel
what does it mean to be “charged” (net charge)
“charges” or “net charge” - an imballance of protons and electrons
what does it mean to be “uncharged” (no net charge)
“uncharged” ,“neutral”, or “no net charge” - equal number of protons and electrons
symbol for charge
symbol for charge is q
unit for charge
unit for chage is coulomb (C)
qelectron=
qelectron= -1.6×10^-19 C
qproton=
qproton= +1.6×10^-19 C
e=
e= +/- 1.6×10^-19
in q=ne, what is q
in q=ne, q is net charge
in q=ne, what is n
in q=ne, n is number of unbalanced charges
in q=ne, what is e
in q=ne, e is +/- 1.6×10^-19 C (the charge of one of the unbalaned charges)
in a gravity analogy, what is a charge
in a graviy analogy, charge is a measurable property that causes the electic force, just like how mass is a measurable property that causes gravitaional force
gravitiational force between two masses
Fg= Gm1m2/r²
in Fg= Gm1m2/r², what is m1 and m2
in Fg= Gm1m2/r², m1 and m2 are the masses putting force on each other
in Fg= Gm1m2/r², what is r
in Fg= Gm1m2/r², r is the distance between the centers of the masses
in Fg= Gm1m2/r², what is G
in Fg= Gm1m2/r², G is 6.67×10^-11 and is the gravitational constant used every time
inverse square law
inverse:
distance increase - Fg decreases
distance decrease - Fg increase
square:
disrance changes by factor of: gravitional force changes by factor of:
2 1/4
3 1/9
10 1/100
1/5 25
coulombs law
electrial force between 2 charges, F=kq1q2/r²
in F=kq1q2/r², what is Fe
in F=kq1q2/r², Fe is electic force (+repels, -attracts)
in F=kq1q2/r², what is q1 and q2
in F=kq1q2/r², q1 and q2 aew the charges putting force on each other
in F=kq1q2/r², what is r
in F=kq1q2/r², r is the distance between the center of the charges
in F=kq1q2/r², what is k
in F=kq1q2/r², k in 9×10^9 - electical constant
coulombs law, also INVERSE SQUARE
distance increases by x, Fe decreases by x²
distance decreases by x, Fe increase by x²
just because a charge is attracted or repelled, does not mean
just because a charge is attracted or reppelled, does not mean it will move
protons: dont typically move without the whole material object moving
elecrons: are often, but not always, able to move through an object, or from object to object
what type of materials can electrons easily pass through?
conductors: electrons easily move through (Ex: metal, water, people)
insulators: electorns cannot easily move through (Ex: wood, rubber, plastic, air, etc)
law of conservation of charge
you cant destroy or create charge, you can only transfer it (almost always electrons), to keep the total the same
methods of charging
friction, polarization, conduction, induction
charging by friction
when you rub 2 insulators together one may take electrons from the other. Both become charged, one +, one -
polarization
when you bring a charged object near a neutral object it can cause the charges to move to separte sides of the neutral object.
always attrated to the polarizing char
charging by conduction (aka contact)
if you bring a charged object into contact with a conductor electrons will transfer causing that object to share its charge with the conductor
grounding
connecting a charged object to the ground (or a large conductor) will make the object neutral
charging by induction
is charging by polarization made permaneny by either physically separting the two sides or by grounding one side
induces the opposite charge than the initial polarizing charge
what are the starting objects for charging by friction
for charging by friction you need 2 neutral insulators
what is the action for charging by friction
for charging by friction the action is rub the two together
what is the result for charging by friction
for charging by friction the result is both end up charged, one + charge, one - charge
what are notes for charging by friction
for charging by friction the notes are electrons tranfer from the object with lower electron affinity to the object with higher electron affinity
what are starting objects for charging by polarization
for charging by polarization the starting objects are 1 charged object and 1 neutral object
what are the actions for charging by polarization
for charging by polarization the action is bring the charged object close bu the nrutral one (if the neutral object is an isulator they can touch)
what is the result for charging by polarization
for charging by polarization the result is the neutral object retains the overall neutral charge, but the charge separates into a + and - side
what are notes for charging by polarization
for charging by polarization the notes are the attrative charge is always closer to the polarizing charge. this temporarty, one the polarizing charge is removed it goes back to neutral
what are the starting objects for charging by conduction
for charging by conduction the starting objects are 1 charged object and 1 neutral conductor
what are the actions for charging by conduction
for charging by conduction the action is touch the charged object to the conductor
what is the result for charging by conduction
for charging by conduction the result is the intital charge is shared. both end up charged the same as the original charged object
what is notes for for charging by conduction
for charging by conduction the notes is the original loses some of its charge so it is less charged, but not all the way back to neutral
what are the starting objects for charging by induction
for charging by induction the starting object is 1 charged object and 1 neutral conductor
what is the action for charging by induction
for charging by induction the action is polarize, ground the far side, remove the ground, then remove the polarizing charge
what is the result for charging by induction
for charging by induction the result is the neutral object ends up the opposite charge of the original polarizing charge
what are the notes for charging by induction
for charging by induction the notes are you can also make the polarization permanent by just physically separating the two sides, so they are insulated from each other.
what are the starting objects for grounding
for grounding the starting object is 1 charged object
what are the actions for grounding
for grounding the action is make a conductive connection to the ground (or to a much larger conductor_
what is the result for grounding
for grounding the result is the object ends up neutral
what are the notes for grounding
for grounding the notes are the ground takes electron from the charged object if it was negatively charged. the ground gives electrons if the object was positively charged