Physics Flashcards
Centrifugal Force (direction)
Antiparallel to centripetal force vector. Points away from center of circle in uniform circular motion.
One dimensional motion equations
v_f = v_o + at x = v_o*t + .5*at v_f^2 = v_o^2 + 2ax x = v_avg * t
Gravitational Force Equation
F_g = G*m_1*m_2 / r^2 (G = 6.67*10^-11 Nm^2/kg^2)
Forces of gravity along inclined plane
F_g,parallel = mgsin(theta) F_g,perp = mgcos(theta)
Centripetal force equation
F_c = mv^2 / r
Torque equation
t = r X F (cross product), or t = rFsin(theta)
Unit of Illuminous Intensity
Candela (cd)
Work equations
W = F (dot) d = Fdcos(theta) W = delta KE = 0.5*m(v_f^2 - v_i^2)
Isochoric Process
AKA isovolumetric. Pressure of a gas is changed, but there is no change in volume. No work is done.
Area under P-V curve
Equal to work done in a thermodynamic system
Conservative forces (def and ex)
Def: path-independent forces that do not dissipate). Ex: gravity, electrostatic forces
Also, friction is NOT a conservative force because the amount of work done by this force depends on the specified path
Work during uniform circuar motion
No work is done because the displacement vector and force vector are always perpendicular
Isobaric Process
Pressure remains constant. W = P * deltaV
Positive Work
The directions of the exerted force and the displacement are in the same direction
When is work negative?
When the signs of the force and displacement are opposite
Power
The rate at which energy is transferred from one system to another. P = W / t = deltaE / t
Mechanical Advantage
Ratio of the magnitudes of the force exerted on an object by a simple machine (F_out) to the force actually applied on the simple machine (F_in). M.A. = F_out/F_in
Efficiency
Ratio of work put into a system to work put out by a system
The six simple machines
Inclined plane, wedge, pulley, wheel and axle, lever, screw
Higher Horsepower Cars
This only means that the car will reach any given velocity faster than cars with lower horsepowers.
First Law of Thermodynamics
delta U = Q - W. Total change in internal energy of a system is equal to the amount of energy transferred into the system by as heat minus the amount of energy that leaves the system as work.
Entropy of an isolated system
Increases for all real (irreversible) processes
Second Law of Thermodyamics
Objects in thermal contact and not in thermal equilibrium will exchange heat energy such that the objects with the higher temperature will give off heat energy to the object with lower temp. until they are at thermal equilibrium.
Conduction
Direct transfer of energy from molecule to molecule through collisions. Best conductor = metal. Worst conductor = gases.
Convection
Transfer of heat by physical motion of fluid over a material. Only achievable by liquids and gases.
Radiation
Transfer of energy by electromagnetic waves. Unique because it can occur through a vacuum (unlike conduction and convection)
Latent heat
AKA Heat of transformation (heat per kg required to change phase).
Latent heat = heat transfer / mass –> (L = q/m, q=mL)
Solid to gas
Sublimation
Gas to solid
Deposition
Liquid to solid
Fusion or solidification
Adiabatic
No heat exchange. Q = 0, so delta U = -W
Isothermal
Constant temperature, so deltaU = 0, Q = W
Isovolumetric
No change in volume, so W = 0 and deltaU = Q
Zeroth Law of Thermodynamics
When one object is in thermal equilibrium with another, there will be no heat flow between the two
Absolute 0
-460 F, -273C, 0 K
Third Law of Thermodynamics
The entropy of a perfectly organized crystal at absolute zero is zero
Converting C to F
F = 9/5 (C) + 32
Thermal expansion
delta L = alpha * L * deltaT, where alpha is the coefficient of linear expansion
Volumetric expansion
delta V = beta * V * delta T, where V is the coefficient of volumetric expansion
Coefficient of volumetric expansion
beta = 3*alpha,
where alpha is the coefficient of linear expansion
State functions
Thermodynamic properties that are a function of only the current equilibrium state of a system. The include: pressure, density, temp, volume, enthalpy, internal energy, Gibbs free energy, and entropy.
Process Function
Describe the path taken to get from one state to another (work and heat)
Entropy and the Second Law of Thermodynamics
Energy spontaneously disperses from being localized to becoming spread out, if it is not hindered from doing so
Entropy
Measure fo the spontaneous dispersal of energy at the specific temperature: how much energy is spread out or how widely spread out energy becomes in a process.
Natural process (heat exchange)
Irreversible. Heat transferring from a hot object to a cooler object when the two are in contact. Would be considered unnatural if heat transferred from cooler to hot.
Isolated vs Closed Systems
Isolated systems cannot exchange energy or matter with their surroundings. Closed systems can exchange energy, but not matter.
Absolute pressure
The sum of all pressures at a certain point within a fluid; Equal to the pressure at the surface of the fluid + the pressure due to the fluid itself.
abs. P = P_surface + P_fluid
Gauge pressure
Difference between the absolute pressure and atmospheric pressure. In liquids, gauage pressure is caused by the weight of the liquid above the point of measurement
P_gauge = P_abs - P_atm
Pascal’s Principle
The pressure applied to an incompressible fluid will be distributed undiminished throughout the entire volume of the fluid
P = F/A = F_1 / A_1
Hydraulic Machines
Operate on the application of Pascal’s principle to generate mechanical advantage
Archimedes’ Principle
Governs buyant force. When an object is placed in a fluid, the fluid generates buoyant force against the object that is equal to the wieght of the fluid displaced by the object. Buoyant force point opposite to gravity. Maximum buoyant force is larger than the force of gravity when the object is floating
F_buoy = p_fluid * V_fluid-displaced * g
Cohesive forces
Between molecules of the same fluid. Gives rise to surface tension
Adhesive forces
Between molecules of different materials
Viscosity
Measurement of a fluid’s internal friction. Generates a nonconservative force: viscous drag
Laminar flow
Rate is determined by Poiseuille’s Law. Assumes conservation of energy
Continuity equation
Q = v_1 * A_1 = v_2 * A_2
Bernouilli’s Eq
P_1 + 0.5p(v_1)^2 + pgh = P_2 + 0.5p(v_2)^2 + pgh
Conservation of total mechanical energy
Poiseuille’s Law
Allows calculation of flow rate when there is laminar flow through a pipe:
Q = pir^4deltaP / (8viscositylength)
The circulatory system is a ____ loop with a ______ flow rate
closed; nonconstant
Why is fluid “lost” from the circulatory system
Due to the pressure difference between osmotic and hydrostatic pressure in the blood vessels
T/F: volume of blood entering the heart is greater than the volume of blood exiting the heart with each cycle
False - the volumes entering and exiting are equal
Blood vessels with highest resistance
Capillaries
How is blood moved back to the heart?
Through veins. Motivated by mechanical squeezing of the vessels by skeletal muscles, lower pressure in the heart achieved after systole, and pressure gradient in the thorax created by inhalation and exhalation.
Venturi effect
Hydrostatic pressure exerted on the inside of a pipe will be the lowest at the point where the fluid is flowing the fastest
Fundamental Unit of Charge
e = 1.6*10^-19 C
Electric Field, Equation, and Direction of E-field lines
Def: the ratio of the force that is exerted on a test charge to the magnitude of that charge.
E = kq / r^2
Field lines point away from positive charges and toward negative charges
Electric potential energy
U = kQq / r
Increases if opposite charges move apart or same charges move closer. Decreases as opposite charges move closer or same charges move apart.
Electric potential
Electric potential energy per unit charge: V = U_e / q
or V = kQ/r (from source charge)
Potential difference
Change in potential energy that accomplishes the movement of a test charge from one position to another. Path-independent.
Delta V = V_b - V_a = W_ab / q
Directions of spontaneous movement of positive and negative charges
+: move from high PE to low PE
-: move from low PE to high PE
Electric potential due to dipole
V = kqd / r^2 * cos(theta)
Dipole moment
p = q*d
Electric field on perpendicular bisector of a dipole
E = k * p/r^3
Torque on a dipole in an E-field
T = pEsin(theta)
1 Tesla =
1 Ns / (mC)
Magnetic field due to straight wire
B = mu_0 * I / (2pi*r)
Magnetic field due to looped wire
B = mu_0 * I / (2r)
Diamagnetic materials
No unpaired electrons, slightly repelled by a magnetic field
Paramagnetic materials
Some unpaired electrons. Become weakly magnetic in an external field
Ferromagnetic materials
Some unpaired electrons. Become strongly magnetic in an external field
Magnetic force due to moving particle
F_b = qvB*sin(theta)
Magnetic force due to wire
F_b = ILB*sin(theta)
When do electrons in circuits have the highest electric potential energy in a circuit?
Just after exiting the battery because none of its potential energy has been converted to kinetic or lost as heat yet.
Ohm’s Law
V = I*R
Power in a circuit
P = W/t = delta E / t = IV = I^2 * R = V^2/R
Capacitance
Def: The ratio of the magnitude of the charge stored on a plate to the potential difference across the capacitor. Defined by area and distance between the plates
C = Q/V = epsilon_0 * A/d
Potential energy stored in a capacitor
U = 1/2 * C *V^2
Transformers in circuits (energy)
Energy must be conserved, so P_in = P_out
Can be written as I_outV_out = I_inV_in