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123 Cards in this Set
- Front
- Back
$V_f, V_0, a, t$
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B field due to a straight wire
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$ B=\frac{\mu_0i}{2\pi r} $
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Speed of a wave
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$ V=f\lambda $
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Shear
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$ \frac{x {(lateral_{movement})}}{h (height)} $
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wavenumber
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$ k=\frac{2\pi}{\lambda} $
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Sound intensity
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$ I=\frac{Power}{A} $ $W/{m^2} $
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Doppler effect definition
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The difference between the perceived frequency & the actual frequency of a sound
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Open pipe wavelength
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$ \lambda = \frac{2L}{n} $
n = positive integer |
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Audible wave range
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20 Hz-20,000 Hz
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Closed pipe wavelength
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$ \lambda = \frac{4L}{n} n=odd integer $
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Angular frequency for a pendulum
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$ \omega = 2\pi f = \sqrt{g\over L} $
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Efficiency
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$\eta={W_{out} \over W_{in}}$
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Sound level
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$ \beta = 10 log (\frac{I}{I_0})$ db
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Speed of sound at
0$^o$C |
331 $m/s $
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Doppler effect equation
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$ f'=f[\frac{v \pm v_D}{v \mp v_S}]$
$v_D$ = speed of detector $v_S$ = speed of source |
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Infrasonic wave range
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< 20 Hz
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d, V, t
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U of a spring
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$ U= \frac{1}{2}kx^2 $
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Units of frequency
($f$) |
$ Hz (1/_s) $
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h, V, g
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Centripetal acceleration
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$\Delta X, V_f, V_0, a$
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Force due to kinetic friction
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$f_k=\mu_kF_n$
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Frequency vs. period
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$ f={1\over T} $
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Pressure
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$ P = \frac{F}{A} $
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Angular frequency
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$ \omega = 2\pi f $
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Mirror positive signs
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In front
Concave Upright |
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Units of angular frequency ($\omega$)
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$ {radians}/_{second} $
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Force due to a point charge
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$ F=k{q_1q_2 \over r^2} $
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Critical velocity
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$ V_c=\frac{N_R \nu}{\rho D} $
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Pascal's principle (Pressure)
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$ P$=$\frac{F_1}{A_1}$=$\frac{F_2}{A_2}=const $
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Pascal's principle (Work)
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$ W$=$F_1d_1$=$F_2d_2$
$=const $ |
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Ray diagram
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1) $\rightarrow \swarrow f$
2) $\searrow f \leftarrow$ |
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Youngs modulus
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$ Y=\frac{F/A}{\Delta L/L} $
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$\lambda$
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wavelength
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Impulse
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$I=F_{avg}\Delta t$
$=m\Delta v$ |
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Kinetic energy
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$KE={1\over 2}mv^2$
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Magnification
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$ m=-\frac{i}{o} $
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Lense positive signs
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i & o on opposite sides
$f$: converging m: i upright |
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Virtual image
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When the light only appears to converge at the image
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Convex
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Outside of a sphere $\rightarrow ( $
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Snell's law (Law of refraction)
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$ n_1 sin\theta_1 = n_2 sin\theta_2 $
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Converging mirror
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Concave mirror
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Concave
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Inside of a sphere $\rightarrow )$
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Radius of curvature (r)
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Distance to the center of curvature
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$1\over6$
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0.17
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$1\over7$
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0.14
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$1\over8$
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0.125
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$1\over11$
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0.09
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Force on a charge due to an E field
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$ F=q_0E $
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Magnitude of electric dipole
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$ p=qd $
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Electric potential between 2 charges
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$ V=k\frac{q}{r} $
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Mechanical advantage
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$F_{out} \over F_{in}$
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$W_{net}$
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$W_{net}=\Delta KE$
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Force on a charge in a B field
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$ F=qvB sin\theta $
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Equation of a wave
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$ y=Y\sin(kx-\omega t)$
Y = amplitude k = wavenumber |
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Constructive interference
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-Waves are in phase -amplitudes add
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Electric potential Energy between 2 charges
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$ U=k\frac{q_1q_2}{r} $
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Lensemaker's equation
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$ \frac{1}{f}=$(n-1)$\lgroup \frac{1}{r_1}-\frac{1}{r_2}\rgroup $
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Diverging mirror
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Convex mirror
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Total internal reflection
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$ \theta > \theta_c $
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Lenses in contact
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$ \frac{1}{f_{tot}} = \sum \frac{1}{f_n} $
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Minima of interference
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$ d sin\theta = (m+\frac{1}{2}) \lambda $
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Lense power
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$ P=\frac{1}{f} $
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Refraction index
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$ n=\frac{c}{v} $
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Speed of light (equation)
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$ c=f\lambda $
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Real image
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When the light actually converges at the image
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Image distance relationships:
o = object distance i = image distance |
$ \frac{1}{o} + \frac{1}{i} = \frac{1}{f} $
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Focal length ($f$)
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$ f=\frac{r}{2} $
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Diverging lense
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Skinny lense
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Diverging mirror image types
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$ V \uparrow r $
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Concave mirror image types
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$ C-F \Rightarrow R\downarrow m$
$ F \Rightarrow$ no image $< C \Rightarrow R\uparrow m $ |
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Center of curvature (C)
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Point at the center of the mirror's "sphere"
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Work (fluids)
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$ W=P \Delta V$
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$\Delta X, V_0, a, t$
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Total Energy
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E = U + K
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E field due to a charge
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$ E=k{q\over r^2} $
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Static friction force
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$F_s \leq \mu_sF_n$
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Reference Sound intensity
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$ I_0=10^{-12} $
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E field due to a dipole
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$ E=\frac{1}{4 \pi \epsilon_0} \frac{p}{r^3} $
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Ultrasonic wave range
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> 20,000 Hz
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Electric poteltial due to a dipole
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$ V=(k \frac{qd}{r^2})(cos\theta) $
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Change in sound level
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$ \beta_f = \beta_i + 10 log (\frac{I_f}{I_i}) db $
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Torque on a dipole due to an E field
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$ \tau = pE sin\theta $
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Hooke's Law
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$ F=-kx $
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Completely Elastic / Inelastic
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$\sum m_iV_i = \sum m_fV_f$
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Destructive interference
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-Waves are out of phase -amplitudes subtract
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$\sum KE_i = \sum KE_f$
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Completely Elastic Only
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B field due to a circular loop of wire
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$ B=\frac{\mu_0i}{2 r} $
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Power
(Work) |
$P= {W\over t}$
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Force on an object normal to an inclined plane
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Force on an object in the direction of an inclined plane
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Work equation based on F
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Torque equation
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$\tau = Fr$ $sin(\theta)$
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Momentum
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$p=mv$
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Force on a wire
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$ F=iLB sin\theta $
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Power
(Energy) |
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Law of reflection
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$ \theta_1=\theta_2 $
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Power
(Force) |
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Pascal's principle (Volume)
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$ V$=$A_1d_1$=$A_2d_2$
=$const$ |
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Centripetal force
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Total work when no heat is gained or lost
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Gravitational force between 2 objects
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Gauge pressure
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$ P_G = P-P_{atm} $
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Gravitational potential energy
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Beat frequency
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$ f_{beat}=\abs{f_1-f_2} \lvert \rvert $
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$V_{avg}$
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Elastic potential energy
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Newton's second law
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Location of fringes
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$a sin\theta = n\lambda$
a=slit width $\theta$=lense center $\rightarrow$ dark fringe |
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Shear modulus
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$ S=\frac{F/A}{x/h} $
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Bernouli's equation
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$ P_1$+$\frac{\rho v_1^2}{2} $+$ \rho g y_1$=const
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Bouyant force
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$ F_{bou}=V_{disp} \rho_{fluid} g $
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Maxima of interference
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$ d sin\theta = m\lambda $
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Bulk modulus
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$ B=\frac{F/A}{\Delta V/V} $
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Viscosity units
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$ N\centerdot s/m^2 $
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Continuity equation
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$ V_1A_1=const $
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Converging lense
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Fat lense
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Density
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$ \rho=\frac{m}{V} $
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Strain
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$ L\over {\Delta L} $
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Stress
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$ F\over A $
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Critical angle
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$ sin\theta_c = \frac{n_1}{n_2} $
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Absolute pressure
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$ P=P_0 + \rho g h$ $P_0$=Pressure at surface
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