Physics Formual Sheet
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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 = 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