Physics 1&2 Formula Review

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Spring Potential Energy

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Spring Potential Energy

Us=½kx²

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Mass-Energy equivalence

E=mc²

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Hooke's Law

Fs=-kx

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Weight

W=mg

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Period of a spring-mass

T=2π√(m/k)

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Units for spring constant

N/m

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Angular equivalent for impulse

∆L=τt=Iω-Iω₀

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Units for impulse

Ns or kgm/s

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3rd angular kinematic

ω²=ω₀²+2α∆θ

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angular momentum

L=Iω

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Bernoulli's Principle

P₁+ρVg+½ρv²=P₂+ρVg+½ρv² (v is velocity not volume)

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Law of Continuity (aka Volume Flow Rate)

AV=I (area*velocity)

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Units for pressure

Pascals

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Three formulas for power

P=w/t=Fv=mg∆x/t

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Gauge Pressure

P=ρgh

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Frequency of a pendulum

F=1/(2π√(l/g))

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x-component of weight on a θ° inclne

Wx=mgsinθ

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Absolute pressure

P=P₀+ρgh

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Formula definition for work

W=Fd

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Net torque

∑T=Iα

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Frictional force

Fₙµ

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Buoyant Force (aka Archimede's Principle)

Fb=ρVg (V is volume)

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1st angular kinematic

ω=ω₀+αt

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units for speed

m/s

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Gravitational potential energy

Ug=mg∆y

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density of water

1000 kg/m³

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linear momentum

p=mv

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period of a pendulum

T=2π√(l/g)

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units for displacement

meters

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formula to convert between linear displacement and angular displacement

s=rθ

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Heat created by friction as an object slides along a θ° incline

Qinc=mgcosθµd

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Pascal's Law

F=F

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Moment of inertia of a point mass M a distance r from the axis of rotation

I=mr²

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Formula relating the height of a pendulum to the angle θ as measured to the vertical

∆y=l-lcosθ

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formula to convert between linear acceleration and angular acceleration

a=rα

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constant velocity

v=∆x/t

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units for momentum

kgm/s

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formula to convert between linear velocity and angular velocity

v=rω

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units for velocity

m/s

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units for distance

meters

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units for torque

mN

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work-energy theorem

∑W=∆K so... ∑W=½mv²-½mv₀²

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frequency of a spring-mass

F=1/(2π√(m/k))

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Units for energy

Joules

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Pressure

P=F/A

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Units for frequency

Hz

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second kinematic

∆x=V₀t+½at²

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Forgotten power formula

P=Fv

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Units for rotational kinetic energy

Joules

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speed of light (c)

3x10⁸ m/s

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centripetal acceleration

Ac=v²/r

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Newton's second law

∑F=ma

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atmospheric pressure

101000 Pa or 1atm

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Work done by friction

Wf=Ffd (Ff is force of friction)

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Density

ρ=m/v

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units for angular acceleration

rad/s²

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Force of friction on a θ° incline

mgcosθµ

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units for angular velocity

rad/s

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Acceleration due to gravity a distance r from a mass M

g=Gm/r²

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Formula definition of power

P=w/t

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units for density

kg/m³

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units for power

Watt

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Units for force

Newtons

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units for volume flow rate

m³/s

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2nd angular kinematic

∆θ=ω₀t+½αt²

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Angular equivalent of work-energy theorem

∑W=∆K so... ∑τθ=½Iω²-½Iω₀²

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first kinematic

V=V₀+at

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third kinematic

V²=V₀²+2a∆y

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units for angular displacement

radians

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translational kinetic energy

K=½mv²

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y-component of wright on a θ° incline

Wy=mgcosθ

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units for acceleration

m/s²

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rotational kinetic energy

Krot=½Iω²

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units for angular momentum

kgm²/s

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units for work

Joules

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average velocity

v=∆x/t

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units for period

seconds

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units for time

seconds

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torque

rxF

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acceleration due to gravity on earth (g)

9.8 m/s²

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Heat created by friction as an object slides across a level surface (Qlev)

Qlev=mgµd

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Two formulas for impulse

J=Ft=mv-mv₀

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Newton's Law of Universal Gravitation

Fg=G(m₁m₂/r²)

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Universal Gravitational Constant

6.67x10⁻¹¹

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