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what is the formula for speed?
v=d/t
formula for distance (honors):
d = vit + 1/2at²
formula for average speed (honors):
vi + vf / 2
formula for final speed (honors):
vf² = vi² + 2ad
motion with a constant speed in a straight line
uniform motion
what are the y and x axises for distance-time graphs?
y = distance
x = time
what does Δ mean?
delta: change in smt
formula for slope:
rise/run
what do we use the slope for in a distance-time graph?
to determine the speed
what does it mean when a slope is zero?
line is horizontal, motion is uniform, nothing changes
how do you find the area of a graph?
a = l x w (y axis x x axis)
if its not a horizontal line use bh/2
what are the two systems to describe a vector for direction??
degrees from the x or y axis (10km, 80° E of the -y axis)
degrees using compass directions (10km, 80° E of S)
rate of motion of an object
speed
both the rate of motion and the direction of the objects motion, making it a 😝 quantity
velocity, 😝 = vector
magnitude = ?
amount
scalar quantities only have:
magnitude
t or f: distance is a scalar quantity (magnitude only)
true
t or f: displacement is a scalar quantity (magnitude only)
false, it is a vector quantity meaning it has magnitude and direction
formula for velocity:
v = d/t (v and d have an arrow over them)
v w/ arrow: velocity
d w/ arrow: displacement
t: time
what is very important when writing velocity or displacement?
to have a direction
ex: displacement is 465 km [S]
ex; velocity is 558 km/h [S]
sum or two or more vectors
resultant
how to i find the resultant of vector quantities that are in the same direction?
you add them
ex: A person runs 25m south and then another 15m south.
25m + 15m = 40m
how to i find the resultant of vector quantities that are different directions?
you subtract them
ex: A plane flies 200km north and then turns around and comes back 150 km.
200km [N] - 150km [S] = 50km [N]
change of velocity over time
acceleration
look at page 13 in the notes to see the types of graphs
formula for acceleration:
a = vf - vi / t
a: acceleration in m/s²
vf : final speed (velocity) in m/s
vi : initial speed (velocity) in m/s
example of a problem on pages 14-15 in the notes
what happens when force is in the same direction as motion?
object gains energy and speeds up
what happens when force is opposite to motion?
object loses energy and slows down
what creates heat when force is applied?
friction
3 conditions for work that must be there:
there must be movement
there must be force
the force and movement must be in the same direction
energy put into something
work input
useful energy the object acc gets
work output
if there is no friction, work input then =
work output
what does acceleration due to gravity equal?
9.81m/s²
if an object is falling (acceleration due to gravity):
if an object is going up:
9.81 m/s²
-9.81m/s²
a push or pull
force
is the resultant force when vectors that are equal in magnitude but opposite in direction are added together, therefore they cancel each other out
balanced force
is the resultant force when vectors that are not equal in magnitude or not opposite in direction are added together, therefore they do not cancel each other out
unbalanced force
formula for force:
F = ma
m = mass in kg
a = acceleration in m/s²
F = force in Newtons (N)
is the force due to gravity
weight
formula for work:
W = Fd
W = mad
W = wrok in Joules (J)
F = force in Newtons (N)
d = distance in m
m = mass in kg
a = acceleration in m/s²
ability to do work
energy
potential energy stored in chemical bonds of compounds
chemical energy
work done by moving electrons
electrical energy
magnetism on page 19 notes
energy stored in the nucleus of an atom, energy is released when the nucleus is split or when two nuclei combine
nuclear energy
energy from the sun, created usually through nuclear fusion, reaches the earth as electromagnetic radiation
solar energy
energy of an object because of the movement of atoms (heat)
thermal energy
faster moving particles =
more heat
is energy where there is no motion, there is potential because of its position
potential energy
5 types of potential energy:
gravitational energy
chemical energy
elastic energy
nuclear energy
electrical energy
energy stored due to the height of an object
gravitational potential energy
formula for gravitational potential energy:
Ep = mgh
Ep = Fh
m = mass in kg
g = acceleration due to gravity = 9.81 m/s²
h = height in m
Ep = gravitational potential energy in J
F = weight in N
energy of motion
kinetic energy
4 types of kinetic energy
mechanical Ek
thermal Ek
sound Ek
electrical Ek
formula for kinetic energy:
Ek = ½ mv²
Ek = kinetic energy in J
m = mass in kg
v = speed in m/s
total energy of an object because of movement
mechanical energy
formula for mechanical energy:
EM = EK + EP
EM = 1/2mv² + mgh
READ PAGES 23-24 FOR THE LAWS OF THERMODYNAMICS AND ENERGY CONVERSIONS
first law of thermodynamics:
energy cannot be created or destroyed, only changes form
total energy input = total energy output
second law of thermodynamics:
energy is ALWAYS lost in heat (friction) because it is in every conversion
set of interconnected parts
system
system that exchanges both matter and energy with its surroundings
open system
system that only exchanges energy with its surroundings
closed system
system that does not exchange matter or energy with its surroundings
isolated system
4 pieces of evidence energy conversions:
motion
change in energy
change in motion
change in shape
Read the energy conversion systems from page 25-26
read about efficiency on page 26 of the notes
formula for efficiency:
% efficiency = (useful output/total input) x 100
derived either directly or indirectly from the energy of the sun
solar energy sources
solar, wind, geothermal, tidal, biomass
examples of renewable resources
Force due to gravity
Weight
If a question gives you force due to gravity, what does that represent (what number do you use?)
Acceleration due to gravity
9.81m/s²