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47 Cards in this Set
- Front
- Back
What are the big five kinematic equations?
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d = 0.5 (v_i + v) t
v = v_i + a t d = v_i t + 0.5 a t^2 d = v t - 0.5 a t^2 v^2 = v_i^2 + 2 a d missing: A dog finally in tears |
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sqrt(2)
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1.4
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sqrt(3)
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1.7
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cos30
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sqrt(3)/2
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Newton's Laws
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1) Fnet = 0 => a=0 => v = constant
2) F_net = m a 3) F_2on1 = -F_1on2 |
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F_grav and g
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F_grav = w = m g
F_grav = G M m / r^2 => g= G M / r^2 |
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Incline Plane (theta=incline angle to horizontal):
1) Force due to gravity parallel to ramp 2) Force due to gravity perp to ram |
1) m g sin(theta)
2) m g cos(theta) = Normal Force |
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Static friction (max)
Kinetic friction |
F_f, static MAX = u_s F_N
F_f, kinetic = u_k F_N |
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Center of Mass (=Center of Gravity)
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x_CM= (m1 x1 + m2 x2 + mn xn) / (m1 + m2 + mn) = (w1 x1 + w2 x2 + wn xn) / (w1 + w2 + wn)
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Torque
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torque = r F sin(theta) = l F
l is the lever arm. |
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Momentum : general
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p = mv
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Momentum: impulse
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J = F t
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Momentum: Impulse-Momentum theorem
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J = delta(p)
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Momentum: Conservation of Momentum
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total p_i = total p_f
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Uniform Circular Motion: centripetal acceraltion
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a_c = v^2 / r
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Uniform Circular Motion: centripetal force
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F_c = m a_c = m v^2 / r
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Work
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W = F d cos(theta) where theta is the angle between F and d; work is a scalar quantity. Force that acts through a displacement d.
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Kinetic Energy
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KE = 0.5 m v^2
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Work-Energy Theorem
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W_total = delta(KE)
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Power
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P = W / t ; P = F v, if F is parallel to v
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PE_grav
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PE_grav = m g h (if h<<r_earth)
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Mechanical Energy
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E = KE + PE
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Conservation of Mechanical Energy
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E_i = E_f or KE_i +PE_i = KE_f + PE_f
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If nonconservative forces - like friction - act during the motion, what is the final Energy
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E_f = E_i + W_by_nc_forces
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Stress
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Stress = F/A
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Strain
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Strain = delta(L) / L
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Hooke's Law
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delta(L) = F L / E A
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density
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density = mass / volume
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density of water
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1000 kg/m^2
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specific gravity
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specific gravity = p / p_water
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Archimedes' principle
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F_buoyant = p_fluid V_sub g
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Pressure
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P = F_perp / A
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Hydrostatic Pressure
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P = P_0 + p g D = P_atm + p g D (if P at surface is Patm)
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Gauge Pressure
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P_gauge = P - Patm
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Pascal's Law
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F_1 / A_1 = F_2 / A_2
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Volume Flow Rate
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f = A v
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Continuity Equation
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A_1 v_1 = A_2 v_2
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Bernoulli's Equation
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P_1 + p g y_1 + 0.5 p v_1^2 = P_2 + p g y_2 + 0.5 p v_2^2
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Current
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I = Q / t
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Resistance
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R = V / I ("Ohm's Law": V = I R)
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Resistance
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R = p L / A
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Resistors in Series
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R_s = R_1 + R_2 + R_n
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Resistors in Parallel
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1 / R_p = 1 / R_1 + 1 / R_2 + …
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Power in Circuit
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P = I V = I^2 R = V^2 / R
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Power in AC Circuit
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P = I_rms V_rms = I_max / sqrt(2) * V_max / sqrt(2)
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Oscillations and Waves: Hooke's Law
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F_s = -k x
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Oscillations and Waves: FE_s
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PE_s = 0.5 k x^2
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