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scalers vs vectors
distance vs displacement
has magnitude
distance, mass, speed, temp, volume, energy
has magnitude and direction
position, velocity, acceleration, displacement
distance: the total path taken
displacement: final - initial path
when do you use this equation v=x/t
when there is no acceleration, specifically in the x direction → so you can use it to find the displacement of an object after launch
direction of magnitude (north and east)
in quadrant one there is East on X-axis and North on Y-axis
0-45 is North of East
45-90 is East of North
Galilean transformations
looking at systems with references
x=x’+ut
Vs=Um+U
As=Am
When comparing 2 projectiles
bigger angle has longer air time because of vertical velocity
different angles → angle closer to 45 for higher horizontal velocity and closer to 90 for higher vertical velocity
hooke’s law, static and kinetic friction
hookes: F=-kx
Friction: Ff=(U)Fn
frequency vs periods, convert rpm to rad/s and rads relation to degrees
periods: time/cycles
frequency: cycles/time
rpm=revs per min
1 rev = 2 pi = 360 degrees
what is the equation for work and power (+units)
W= Fd = Fdcos(theta) = change in energy (KINETIC) in J
P= W/change in time = Fd/t = change in energy/time (KINETIC) in watts
Ug vs escape velocity vs gravitational field vs gravitational force
Ug
gravitational potential energy is the PE of objects father from Earth’s surface
Ug=(-GMm)/r
Escape Velocity
minimum velocity needed for an object to escape the earth’s gravitational pull towards earth
V=((2GM)/r)^1/2
gravitational field
g=GM/r²
gravitational force
F=(GMm)/r²
Remember that r=R+h
kelper’s 3rd law
T²/r³ = 4pi²/GM → M is the mass of sun
centripetal acceleration and force, velocity of UCM
Fn at the top of a circle vs bottom
minimum/weightless velocity in circle
CA: a=v²/r
CF: F=mv²/r
V=(2pi)rf
Top: Fn= (mv²/r) - mg
bottom: Fn= (mv²/r) + mg
v=(gr)^1/2
analyze the force of a person in relation to a scale and elevator when going up and down
going up
+ acceleration, Fn increases, feels heavier, system of person and scale is bigger than earth to person
going down
- acceleration, Fn decreases, feels lighter, system of earth to person is bigger than person and scale