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AP Physics 1 Formulas
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1
Acceleration
a=(vf-vi)/t
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acceleration = change in velocity / time
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Instantaneous Velocity
vx=vi+at
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velocity at position x = initial velocity + acceleration * time
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Displacement
Δd=vit+1/2at^2
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distance from beginning = initial velocity * time + 1/2 acceleration * time squared
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Velocity (Displacement)
vx^2=vi^2+2aΔd
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velocity at position x squared = initial velocity squared + 2 * acceleration * displacement
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Newton's 2nd law
a=F/m
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acceleration = force / mass
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16
Friction
f=μN
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friction = coefficient of friction * newtons
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19
Acceleration (Centripetal)
ac=v^2/r
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centripetal acceleration = velocity squared / radius
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22
Momentum
p=mv
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momentum = mass * velocity
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Impulse (Change in Momentum)
Δp=mΔv
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Δp=Ft
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change in momentum = mass * change in velocity
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change in momentum = force * time
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Kinetic Energy (Linear)
K=1/2mv^2
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kinetic energy = 1/2 mass * velocity squared
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Work-Energy Theorem
W=ΔE
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work = change in energy
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Work
W= Fdcosθ
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work = force * distance * cosine angle
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Work
w=ΣFd
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work = net force * distance
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Power
P=ΔE/t
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power = change in energy / time
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Mechanical Power
P=W/t
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power = work / time
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50
Rotational Displacement
θ=θi+ωit+1/2αt^2
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angle of rotational displacement = initial angle + initial angular velocity * time + 1/2 acceleration * time squared
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Instantaneous Rotational Velocity
ω=ωi+αt
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angular velocity = initial angular velocity + acceleration * time
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Displacement for Harmonic Motion
x=Acos(2πft)
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position x = amplitude * cosine (2π * frequency * time)
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Angular Acceleration
α=Στ/I
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angular acceleration = net torque / rotational inertia
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Net Torque
Στ=Iα
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net torque = length * angular acceleration
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Torque & Force
τ=rFsinθ
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torque = radius * force * sine angle
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Angular Momentum
L=Iω
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angular momentum = length * angular velocity
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Change in Angular Momentum
ΔL=τt
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change in angular momentum = torque * time
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Kinetic Energy (Rotational)
K=1/2Iω^2
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kinetic energy = 1/2 length * angular velocity squared
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Hooke's Law
Fs=kx
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spring force = spring constant * position x
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Elastic Potential Energy (Spring)
Us=1/2kx^2
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spring potential energy = 1/2 spring constant * position x squared
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Density
ρ=m/V
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density = mass / volume
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Potential Energy (Gravitational)
ΔUg=mgΔy
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change in gravitational potential energy = mass * gravity * change in height (position y)
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Period (Angular Velocity)
T=2π/ω
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period = 2π / angular velocity
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Period (Frequency)
T=1/f
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period = 1 / frequency
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Period (Spring)
Ts=2π√m/k
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spring period = 2π * √ (mass / spring constant)
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Period (Pendulum)
Tp=2π√l/g
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pendulum period = 2π * √ (length / gravity)
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