Grade 11 Physics Study Guide Notes For Final Exam SPH3U1
Grade 11 Physics Study Guide Notes For Final Exam SPH3U1
Grade 11 Physics Study Guide Notes For Final Exam SPH3U1
-Any numbers that arent zeros count (i.e. 5263 has 4 sig figs)
-0s after the decimal place count (i.e. 1.00 has 3 sig figs)
-Numbers after the first non-zero (i.e. 0.0002102 has 4 sig figs)
The result will have the least amount of numbers after the decimal place.
Big 5
v 2=v 1 +a t d =0.5 ( v 2 +v 1 ) t
1 1
d =v 1 t+ a t 2 d =v 2 t a t 2
2 2
v 22=v 12+2 a d
The
vector sum can be found
bycombining these components
and converting to polar form.
This sort of problem is when you have one full vector and 2 partial vectors.
Steps:
This sort of problem is when you have 2 full vectors and you are missing a partial
vector.
Steps:
Vector Acceleraton
To determine vector acceleration we must use vector subtraction first to solve for v2
v 2v 1
- v1 first as in a=
t
i.e. x + (-y) = x - y
** this only affects the directions not whether the magnitude itself is positive or
negative
Then, you need only draw out the diagram and do vector addition as usual.
Fg = mg
Fg = Fn when a
= 0 on the
vertical plane
Fn = mg
Means acceleration
Friction = force that resists motion between objects whose surfaces are in contact
due to microscopic welds
Static Friction: Friction that occurs when the object is not moving but a force is still
being applied to it s
The coefficient of friction has no units because when rearranged, its newtons over
newtons which cancel out.
When speed is constant, acceleration = 0 and therefore, net force = 0 based on the
Fnet = ma formula
Universal Gravitation
N m2
G = 6.67 x 10-11 (measured in )
kg 2
G m1 m2
It is used in the formula F g=
r2
G m1
Also, g=
r2
Units
Mass: kg
Time: s
Distance: m
Speed: m/s
Forces: N (newtons)
Unit 3: Energy
Work
W= Fd
In some situations, there may be force and motion but no work is done
1- No applied force; no force required to keep object moving
2- No displacement; unable to move object though a force is exerted
3- Force and displacement are in different directions
GPE is the energy stored in an object due to its distance above the Earth (measured
in Joules)
Symbol = Ep or Eg
m = mass
g= 9.8
h = height
Symbol = Ek
Formula = Ek=mv2
Conservation of Energy
ET = Ek = EP
ET = Total Energy
ET1 = ET2
When energy is transferred from one form to another, some energy is transformed
to a form that is not useful (though no energy is actually lost)
Measured in Watts
Power = work/time
Heat Capacity
The amount of heat that can be added to a sample of matter is dependant on the
heat capacity.
~= the amount of heat required to raise the temp of an object by 1 degree Celsius
Specific heat capacity = the amount of heat that must be added to raise the temp
of 1kg of a substance by 1 degree Celsius (Joules/kilogram times degree Celsius)
Formula: Q = mcT
m = mass in kg
T = change in temperature
Heat Transfer
When two substances at different temperatures are mixed together, the amount of
heat lost (transferred) from the hot substance equals the amount of heat gained
(transferred) to the cold substance.
Qgained = -Qlost
(1 coulomb =
6.24 x 1018
electrons)
Power = IV (current times voltage) = the rate at which electric energy is passed
1. The sum of the potential drops equals the potential rise of the source.
3. The total resistance of the circuit (also called effective resistance) is equal to the sum of
the individual resistances.
2. The total current is equal to the sum of the currents in the branches.
3. The inverse of the total resistance of the circuit (also called effective resistance) is equal
to the sum of the inverses of the individual resistances.
Mixed Circuits
-Separate circuits into parts (the parallel circuit thats connected to the series one or
vice versa) and calculate things separately for each and then bring it all together
Laws of Magnetism
Earths magnetism: The earth is a giant magnet. Geographic north is the earths
south-seeking pole while geographic south is the north-seeking pole.
For straight conductors, point the thumb of your right hand in the direction that the
symbol tells you to (into or out of the page). The wrapped fingers point in the
direction of the field lines around the conductor.
I.e.
-Wrap your fingers (right hand) around the coil (fingers into the page where it says
so and wrapped around back out of the page where it says so)
I.e.
Electromagnetism
Motor Principle
The right-hand rule for force on a conductor can be used to determine the direction
of the force experienced on the conductor: if the right thumb points in the direction
of the current in the conductor and the fingers of the right hand point in the
direction of the external magnetic field, then the force on the conductor is directed
outward from the palm of the right hand.
-Faradays law: whenever the magnetic field in the region of a conductor changes,
electric current is induced in the conductor.
Lenzs Law
OR
Transformers
~ use mutual induction to change electricity at one voltage and electricity at
another voltage
To do this, the primary circuit of the transformer must have a different number of
windings (loops) than the secondary circuit.
Step-Up Transformer = the number of windings increases for the secondary circuit
Pprimary = Psecondary
P = IV
IpVp =IsVs
Generators
-Generators are difficult to spin so poles of a magnet are the opposite of what you
would normally think in relation to the rotational direction (as in Lenzs Law). It is
because of the difficulty to spin it that electrical energy is created.
Motors
-opposite of a generator (even in diagrams; inner magnets poles are opposite. The
magnet rotates because each time it is either repelled or attracted by the
permanent magnet and has to move that way.)
Unit 5: Waves and Sound
3 types of Vibrations
1- Torsional: an object twists around its axis at the rest position Ex. A twisted tire
swing
2- Longitudinal: the particles vibrate parallel to the direction of the motion of the
wave Ex. Sound
3- Traverse: when an object vibrates perpendicular to its axis at the rest position
Ex. A pendulum OR the particles in the medium vibrate at right angles to the
direction that the wave travels in Ex. Waves of a musical instruments strings,
like guitar strings.
OR
F = 1/ Frequency = 1/wavelength
F = 1/T
L = length
dn =0.5
-Standing wave: waves that are in phase with one another and constant in their
frequency, period, etc. They are characterized by points on their line of rest that do
not vibrate called nodes
-interspersed between the nodes are antinodes that alternate between crest and
trough
= 30 cm
V=f
V = (30hz)(30cm)
= 900 cm/s
*** = A Hz is equal to one over a second (1/s). thats why the units of the final
answer are in cm/s
Principle of Super-Position
When 2 or more waves act simultaneously, the resultant displacement is the sum of
displacements of simultaneous waves individually. There can be a supertrough if 2
troughs meet or a supercrest if 2 crests meet. Or, if a crest and trough meet, they
can cancel each other out.
-Sound waves are technically longitudinal but they are often drawn as traverse
Mach #
A Mach # greater than 1 is considered supersonic and one that is less than 1 is
considered subsonic
~ = The sound heard anytime 2 objects pass each other with different velocities
while emitting sounds
If the object is moving toward you, the formula you use is:
f 1vs
f 2=
v sv o
If the object is moving away from you, the formula you use is:
f 1 vs
f 2=
vs + vo
A simple way to remember this is the formula with Addition in it is for when the
object is moving Away
~ is the vibrating response of an object to a periodic force from a source that has
the same frequency as the natural frequency of the object Ex. The Tacoma bridge
Beat Frequency
Sound Intensity
Intenisty = Power/Area
I = P/A
I1/I2= (r2)2/(r1)2
Decibel System
= 10log(I2/I1)
The constant for the threshold of human hearing is 1.0x10 -12 W/m2
Laws of reflection:
Normal = the imaginary line that is perpendicular to the plane of the mirror
Critical Angle = the angle of incidence that causes the refracted angle to be 90
degrees
Formula is:
c= sin-1(n2/n1)
Where c is the critical angle, and n represents the optical density of the medium.
Refraction
Less dense to more dense means the ray will bend towards the normal
More dense to less dense means the ray will bend away from the normal
Snells Law
-shows the relationship between the angle of incidence and the angle of refraction
Types of Lenses
2 types: Converging which bend rays IN and diverging which bend rays OUT
Concave, Biconcave
**=People with Presbyopia see badly due to old age and need bifocal lenses
Index of Refraction
~ = the ration of the speed of light to the speed of light in a given material
n=C/v
where n = index
c = speed of light
At F = parallel = No image
Sign Convention
1- All distances are measured from the optical centre of the lens
2- Distances of real objects and images are positive
3- Distances of virtual objects and images are negative
4- Object heights and image heights are positive when measured upward and
negative when measured downward from the principal axis
Magnifi cation
M = hi/ho = -di/do
M = magnifaction
i=image o=object
h=height d=distance
if Magnification is positive, the image is upright and if its negative, its inverted
Lasers
-when electrons drop from one orbit to another, they lose energy which is given off
as a burst of light called a photon
1-Spontaneous:
-electrons dont like to stay in their excited state so when they fall, a photon is
emitted
2-Stimulated:
-when a photon comes near an excited electron which has the same energy as it
would lose in falling to the ground state, it will drop to the ground state and produce
a 2nd photon.