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Newton's Three Laws
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Law of Inertia
Law of Acceleration
Law of Action-Reaction
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centripetal force
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Fc = mac |
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centripetal acceleration
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ac = v2/r
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tangential velocity
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v = 2πr/T
v = rω
where
ω = 2πrf (frequency in hz)
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centripetal acceleration
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ac = 4π2r/T2 |
relationship between
period (T) and frequency (f)
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f = 1 / T
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centripetal acceleration
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ac = 4π2r f 2 |
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friction
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f = μN
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conical pendulums
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T cos(θ) = mg
T sin(θ) = Fc = m v2/r
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source of centripetal force
for a banked curve
when traveling at critical speed
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Fc = N sin(θ)
[remember that N cos(θ) = mg]
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critical speed for a banked curve
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tan(θ) = v2/rg
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universal gravitation
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F = GM1M2/r2 |
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universal gravitation constant
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6.67 x 10-11 N m2 / kg2 |
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Kepler's Third Law
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T2/R3 = 4π2/GMcentral body
a unique constant for every satellite system
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gravitational field strength
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g = G Mcentral body /r2
where r = Rcentral body + h
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Kepler's Second Law
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vARA = vPRP
a satellite's tangential velocity and orbital radius are inversely proportional
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Conservation of Energy
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Σ(PE + KE)before =
Σ(PE + KE)after
PE = mgh
KE = ½mv2 |
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kinematics equations
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s = vo t + ½ at2
vf 2 = vo2 + 2as
vf = vo + at
s = ½ ( vo + vf ) t
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range of a projectile
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R = vH t
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