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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: ImpulseMomentum 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


WorkEnergy 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
