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44 Cards in this Set
- Front
- Back
Newtonian Motion
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x(t) = x + vt + (1/2)at^2
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vector components (x and y)
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x= rcos(theta)
y= rsin(theta) |
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Friction
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Proportional to the normal force on the body in contact with the surface
F = ("mu")mg for a horizontal surface (mu times force 90 degrees to the normal force if otherwise) |
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centripetal acceleration
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a = v^2/ r
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PE
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mgh
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KE
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(mv^2)/2
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momentum
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p = mv
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work
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force over a distance
w = force*distance |
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power
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P = work/time
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impulse
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change in momentum
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fluid pressure
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Pfluid = Patm + pgh
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change in fluid pressure
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change in Pfluid = pg(change in h)
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Bernoulli's fluid flow
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P + (1/2)pV^2 + pgy is constant for any point y in the flow
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bouyancy
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Fb = pVg
whereas V is the volume of fluid displaced by the buoyant object |
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sound speed in fluid
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c in fluid = sqrt(Bc/P)
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speed of sound in air
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c in air = sqrt(gammaRT/M)
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loudness in dB
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B(dB) = 10log(I/Io)
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Doppler
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freq observ = (f actial)(1 +/- (u/v))
whereas u is the speed of the observer relative to the speed of the sound, v |
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Force of Electricity
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Fcoulomb = k(q1q2/r^2)
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Voltage
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V = k(q/r)
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dielectrics affect voltage
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V(k) = (1/k)V
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dielectrics affect electric force
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F(k) = (1/k)F
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Capacitance
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C = Q/V or e"not"A/d
Capacitors hold equal and opposite charge |
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Energy stored in a capacitor
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Ustored = (1/2)Q^2 = (1/2)QV = (1/2)CV
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Electric Field
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E = V/d
or Q/(e"not"A) for capacitors |
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Parallel plate capacitors with dielectrics
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C = (k(e"not")A)/d
= kC |
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Capacitors in series
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1/C = 1/C +1/C2...etc
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Capacitors in parallel
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C = C + C2 + C3 .....etc
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Resistance
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R= V/I
(V=IR) |
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Resistance in series
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R in series = R + R1 + R3 + .....
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Resistors in parallel
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1/R = 1/R + 1/R2 + 1/R3 + ...etc
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Direct Current emf
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emf = Vb + IR
with resistance Vb = 1R |
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Force of a magnetic field
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Fmag = qvBsin(theta)
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right hand rule for magnetic fields
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pointing like a pistol, the thumb is the force of the magnetic field, the pointer finger is the direction of the magnetic field, and the middle finger is the direction of the current
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Energy of a magnetic field
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Emag = MB
whereas M, the magnetic moment, is IA |
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Magnetic fields exert force on current which is...
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F on q by B = qE + qvB
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wires with current have a magnetic field described by the right-hand-rule...
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holding the wire with the right hand, thumb in the direction of the current, the curled fingers represent the direction of the magnetic field
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Gauss's law
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net flux through a closed surface is always zero
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Induction of current by motion of a magnetic field
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emf = -Blv
whereas "l" is conductor length |
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index of refraction
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n = (c in a vacuum)/(c in the medium)
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For reflected light, the incident and reflected beams must have...
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the same angle to the surface angle
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Snell's Law
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n1sin(theta) = n2sin(theta)
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mirror equation
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1/s + 1/s = 1/f
s/s' = n/(-h) = M 1/f = 1/f1 + 1/f2 |
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lens lines
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one from object to focal length, parallel through the lens
one from object through the center of the lens unbroken to the image one from the object, parallel to the floor, then through the second focal point to the image |