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47 Cards in this Set

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