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Newton’s First Law
An object tends to stay at rest unless acted upon by an unbalanced force, and an object in motion tends to stay in motion unless acted upon by an unbalanced force
Newton’s Second Law
Force = mass x acceleration, acceleration is proportional to net force and inversely proportional to mass, force and mass are directly proportional
Newton’s Third Law
Every action has an equal and opposite reaction
Balanced and unbalanced forces
FN = F1 + F2
Fɴ=F1+F2
Ex: 165N -> 💟 <-28N(friction)
-> = positive
<- = negative
Fɴ= 165N -28N
Fɴ=137N
Ex: 120N -> 💟 -> 140N
Fɴ=120N + 140N
Fɴ= 260N
Inputs and outputs = the sum of all forces on you
When the net force is 0, it does not mean there is no force being applied; it just means the forces are equal
Constant speed/rate = balanced forces
Rules for significant figures
All digits from 1-9 are significant
All sandwiched 0s are significant
Leading 0s are never significant
Ending 0s are only significant when there is a decimal point
Spark tape analysis
Distance between the dots = speed increases because of the distance/time
When distance between the dots stays the same = speed is constant
Acceleration = change in velocity/time interval
Acceleration = m/s^2
Change in velocity = velocity final - velocity initial (m/s)
Time interval = secs
Motion Graphs: Distance vs Time, Velocity vs Time
Distance vs. Time graph = velocity (m/s)
Velocity vs. Time graph = acceleration (m/s^2)
Slope is constant = velocity is increasing, acceleration is constant
Slope changes = velocity is fluctuating, acceleration also changes
FOR CALCULATING SLOPE, LOOK BACK AT THE ORIGINAL DATA FOR SIG FIGS
Lab 18
As the time increased, the average speed of the car going down increased
We put spark tape on a car and let it roll down a ramp
The distance between the dots on the spark tape increased as time went on
Lab 19
As acceleration increased, so did net force on the car
We tried pulling the car at different net forces using a spring scale
Lab 20
Every reaction has an opposite and equal reaction
Spring scales + rubber bands
1 partner pulling on one side, causes the force to increase the same amount on both spring scales
Hockey Pucks
Same size hockey puck when it clashes into each other, same acceleration
Different sizesof hockey pucks when they collide into each other, the smaller one has higher acceleration
Bottle and cap with Akla Seltzer
Cap went further distance because it has less mass
Skateboard
When one partner pushes off, both partners got pushed back the same distance
Could be different due to a difference in masses
a=v/t
acceleration (m/s²)= final velocity - initial velocity (m/s)/ change in time (s)
Law of Universal Gravitationn (formula and relationships including inverse square law)
When the distance between objects increases by x, the gravitational force decreases by 1/x^2
Ex: Distance doubles, and gravitational force decreases by ¼
When the distance between objects decreases by 1/x, the gravitational force increases by x^2
Ex: distance decreases by 1/100, force increases by 10,000
The gravitational force on different objects on the same planet = different and is directly proportional to mass
Acceleration of different masses on the same planet = the same in the absence of air resistance
On different planets, acceleration of gravity = different planets exert different acceleration of gravity depending in mass and radius, but the acceleration is the same for all objects on the same planet
Force of gravity between two objects = the same, effect of the force may differ
For example, the force of gravity between us and the Earth affects us because our mass is small, but the same force does not change the Earth due to its large mass
G vs g
G = Gravitational Constant
g = acceleration of gravity
Force of gravity vs acceleration due to gravity
Force of gravity = depends on the mass of the object, and is directly proportional to it
Acceleration of gravity is = same for all objects on the same planet
Mass vs weight
Mass = amount of particles in an object (kg)
Weight = effect of gravity on an object (N)
Projectile motion
Horizontal – constant speed
Horizontal velocity = stays the same
Horizontal acceleration = 0
Vertical – free fall
Vertical velocity = changes
Vertical acceleration = stays the same
Time to reach the ground
– only depends on vertical motion
Mass does not affect its motion, because everything on Earth accelerates the same amount
No matter how fast you throw it, the time doesn't change, the distance does change (directly proportional)
The time and distance will change depending on how high you throw an object (directly proportional)
Horizontal vs vertical formulas
Horizontal formulas
D=RT, use to find distance and velocity (rate)
Vertical formulas
h=1/2gt^2, use if you know the height or if you know the time
h = vertical height og how high something is falling from
v=gt, use to find velocity
F = Gm1m2/d2,
F=force
G = gravitational constant
d=distance
W=mg
W = weight (N)
m = mass (kg)
g = acceleration of gravity (m/s^2)
Planetary rotation vs orbital motion
Planetary rotation = planet spinning on its axis
Orbital motion = planet’s movement around the sun
Moon - general characteristics and explanation of phases
Earth slammed into another early planet, the debris accumulated and orbited the earth, creating the moon
Once governed in magma, but now dry with dust and rocks
Has craters because there was once living things covering the craters, but with no magma, nothing moves or goes away
Same side of the moon always faces the Earth because it rotates at the same rate, so we always see the same face of the moon
The amount of light we see hitting the moon from Earth causes the moon phases
If we saw the moon from the sun, it would always be full because as the moon orbits the earth, one face of the moon will always be illuminated from the sun
We can see the moon from Earth depending on the moon stage
Phases
Waxing = light goes from right to left
Waning = light goes from left to right
Solar vs Lunar Eclipse
Solar eclipse = When the moon casts a shadow on the Earth, blocking out our view of the sun, occurs during the day
Lunar eclipse = When the Earth casts a shadow on the moon, blocking the view of the moon, occurs during the night
Also called a blood moon when it is a partial lunar eclipse
Solar system - general characteristics and formation
Formed 4.6 billion years ago after a star exploded called a nebula, which is made up of gas and dust
Debrie started to accumulate because of gravity and form planets and the sun
Sun = The star which other planets orbit
Planets = A celestial body that orbits a star, enough mass for gravity to overcome solid-body forces, has a nearly round shape, and has cleared its orbital path of other debris
Dwarf Planets = smaller than a planet, has not cleared its orbit
Moons = objects that orbits a planet or dwarf planet
Asteroid belt = located in between the orbits of Mars and Jupiter, contains thousands of small rocks
Kuiper Belt = Located beyond the orbit of Neptune, contains planetesimals and other small objects that are debris from the start of our solar system
Size/scale (physical and time) of the solar system and the universe
Big Bang = 13.8 billion years ago
Formation of the universe = 4.6 billion years ago
Big bang, First atoms, first stars, milky way forms, sun and solar system forms, first life on earth, dinosaurs appear, humans appear
Mercury, venus, Earth, and Mars are all close together near the sun = terrestrial and rocky planets
Jupiter, saturn, uranus, and neptune are more far apart and farther from the sun = gas giants
Jupiter is the largest planet