Physics and Math Flashcards
vectors
physical qualities with a magnitude and direction.
examples: displacement, velocity, acceleration and force.
scalars
quantities without direction.
vector addition
tip-to-tail-method or can be broken into component parts and use pythagorean theorem.
vector subtraction
change the direction of the subtracted vector, and do tip-to-tail-addition
vector multiplication
by scalar: changes the magnitude and may reverse the direction
dot product
results in a Scalar quantity.
cross product
results in a new vector. direction of the new vector can be found using the right hand rule.
free body diagrams
representation of the forces acting on an object.
translational equilibrium
occurs in the absence of any net forces acting on an object
rotational equilibrium
occurs in absence of any net torques acting on an object. center mass is the most commonly used pivot point.
displacement
vector representation of a change in position. path independent
Velocity
vector representation of a change in DISPLACEMENT with respect to time
instantaneous velocity
change displacement over time as time approaches 0.
instantaneous speed
magnitude of instantaneous velocity vector
force
any push or pull that has the result in an acceleration
gravity
attractive force between two objects as a result of their masses
Friction
force that opposes motion as a function of electrostatic interactions at the surfaces between two objects.
static friction
stationary objects
kinetic friction
sliding objects
mass
measure of inertia of an object – its amount of material
weight
force experienced by a given mass due to the gravitational attraction to the Earth.
acceleration
vector representation of the change in velocity over time.
torque
twisting force that causes rotation
POS = counterclockwise NEG = clockwise
Newton’s First law
an object will remain at rest or move with a constant velocity if there is no net force on the object.
F=ma=0 if the at rest or constant velocity
Newton’s second law
any acceleration is the result of the net force > 0
F=ma
Newton’s third law
two objects interacting with one another experience equal and opposite forces as a result of their interaction
Fab= -Fba
linear motion
includes free fall and motion where velocity and acceleration vectors are parallel and antiparallel
projectile
contains both and x and y component. assuming negligible air resistance, only force acting the object is gravity. X velocity is constant throughout
inclined planes
force components:
parallel to ramp use sin theta. “sin is sliding down the slide”
perpendicular to the ramp use costheta.
circular motion
best thought of as having radial and tangential dimensions.
centripetal force vector points radially inward, the instantaneous velocity vector points tangentially.
structural proteins
property of a system that enables it to do something or make something happen, including the capacity to do work.
kinetic energy
energy associated with the movement of objects. it depends on the mass and speed squared.
potential energy
energy stored within a system.
gravitational potential energy
related to the mass of an object and its height above
a zero point.
elastic potential energy
related to the spring constant and the degree of stretch or compression of a spring squared.
chemical potential energy
energy stored in the bonds of compounds
conservative forces
path independent and do not dissipate the mechanical energy system.
examples: gravity and electrostatic forces
nonconservative forces
path dependent and cause dissipation of mechanical energy from a system
examples: friction, air resistance, and vicious drag
work
process where energy is transferred from one system to another vis dot product of force and displacement
power
rate at which work is done or energy is transferred.
si unit is watts
Work energy theorem
when net work is done on or by a system, the system’s kinetic energy will change by the same amount.
mechanical advantage
factor by which a simple machine multiplies the input force to accomplish work.
input force is reduced and the distance through which the reduced input force must be applied is increased by the same factor.
MA of an inlined plane
MA = length of incline/height of incline
simple machines
inclined plane, wedge, wheel and axle, lever, pulley and screw
efficiency
ratio of the machine’s work output to the work input when nonconservative forces are taken into account
mechanical advantage = Fout/Fin
Thermal Equilibrium
systems have the same KE and same temperature. no heat transfer.
Temperature
average kinetic energy of particle that make up a substance.
thermal expansion
describes how a substance changes in length or volume as a function of change in temperature,
isolated system
do not exchange matter or energy with surroundings.
closed system
exchange energy but not matter with surroundings.
open system
exchange both energy and matter with surroundings.
state functions
pathway independent and are not themselves defined by the process.
include: pressure, density, temp, volume, enthalpy, internal energy, Gibbs free energy, and entropy.
process function
describe the pathway from one equilibrium state to another. Include: work and heat
0th Law of Thermodynamics
thermal equilibrium, temperature, and thermal expansion.
1st Law of Thermodynamics
statement of conservation of energy. total energy of the universe can never decrease or increase.
(delta)U = Q -W
(delta)U = change in system's internal energy. Q = energy transferred into system as heat. W = work done by the system.
Heat
process by which energy transfer between two objects at different temperatures that occurs until the two objects come into thermal equilibrium (reach the same temperature).
specific heat
amount of energy necessary to raise one gram of substance by 1 degree Celsius or 1 kelvin.
heat of transformation
energy required for a phase change of a substance. (temperature does not change during the transformation)
Processes with constant variable
isobaric
isothermal
adiabatic
isovolumetric
isobaric
pressure is constant
(delta)P=0
Isothermal
temperature is constant, (delta) U = 0
adiabatic
No heat is changed, Q=0
isovolumetric (isochoric)
volume is constant, (delta)V = 0. so work = 0
2nd Law of Thermodynamics
in a closed system, up to and including the universe, energy will spontaneously and irreversibly go from being localized to spread out.
entropy
measure of how much energy has spread out or how spread out energy has become.
Logarithm rules
1) Log of 1 is always 0.
2) The log of the base number is always 1.
3) So long as the base numbers are the same, the log of two factors equals the sum of the log of the individual factors.
4) Likewise, the log of a fraction equals the difference between the log of the dividend and the log of the divisor.
Heat
the transfer of energy based on a temperature difference between two objects.
Temperature
a measure of the average energy due to motion of particles in an object (i.e., a cold object has slow-moving particles while a hot object has fast-moving particles)
Heat capacity
heat required to raise the temperature of an object by a certain unit of temperature
joules
unit of energy
kelvins
unit of tempertature
specific heat
the amount of heat required to raise one gram of an object by one degree Kelvin (or Celsius).
phase changes
Ice is the solid form of water, and the process of converting ice to water requires heat. Similarly, the process of converting water to water vapor (the gaseous form of water) requires heat.
often represented by phase change diagrams
thin lens equation
relates to different lengths associated with geometric optics: 1) focal length 2) object distance 3) image distance
focal length (f)
distance between the focal point and center of lens or mirror
object length
distance between the object and center of lens or mirror
image distance
distance between image and center of mirror
Positive focal lengths
characteristic of concave mirrors and converging lenses
negative focal lengths
characteristic of convex mirrors and diverging lenses.
Positive object distances
occur when the object is in front of the mirror or lens, and negative object distances occur when the object is behind.
positive image distance
mage is in front of the mirror or behind a lens.Such an image is referred to as a real image and is always inverted.
negative image distance
the image is behind the mirror or in front of a lens.Such an image is a virtual image and is always upright.
phase change equation
q=mL
q=heat gained or lost from the substance
m=mass of the substance
L=latent heat or heat of transformation of substance
heat of transformation
intrinsic property of a substance.
defines the energy needed to generate a phase change.
heat of fusion
heat of transformation constant for a solid to liquid transformation
heat of vaporization
heat of transformation constant for a liquid to gas transformation.
heat of transfer
can occur in three ways:
1) conduction
2) convection
3) radiation
conduction
direct transfer of heat through contact and without movement of the objects
convection
transfer of heat through the motion of a liquid or gas over another object
radiation
indirect transfer of heat through electromagnetic waves that does not require the two objects to be in contact
thermal expansion
temperature changes in solid objects can change their length.
Solid objects tend to increase in length when they are heated up
railroad example and wiggle room.
coefficient of linear expansion
constant intrinsic to a specific material.
four laws of thermodynamics
1) zeroth law of thermodynamics
2) first law of thermodynamics
3) second law of thermodynamics
4) third law of thermodynamics states
State functions
properties that do not depend on the path taken to reach a value and depend only on the current state of the system.
Examples of state functions are mass, pressure, temperature, volume, Gibbs free energy, enthalpy, entropy, among others.
Path functions
depend on the path taken to reach a certain value.
Examples of path functions include heat and work.
Types of systems
1) open systems
2) closed systems
3) isolated systems
open systems
can exchange both matter and energy with the environment.
closed systems
can exchange energy, but not matter, with the environment.
isolated systems
can exchange neither energy nor matter with the environment.
four thermodynamic processes
isothermal, adiabatic, isovolumetric, and isobaric.
Isothermal processes
constant temperature, and as we discussed earlier, and therefore ∆U = 0.
adiabatic processes
heat is not exchanged and Q = 0.
isovolumetric processes
volume cannot change, work cannot be done, and therefore W = 0.
isobaric processes
pressure is constant, but this does not affect our ∆U = Q – W equation.
kinematics
science of how objects move.
Displacement
a change in position, written as Δx.
Velocity
a change in position over a change in time, written v=Δx/Δt.
Acceleration
a change in velocity over a change in time, written a = Δv/Δt.
Vector
a quantity that has both magnitude and direction
Projectile motion
the two-dimensional motion of something under the influence of gravity.
Acceleration due to gravity
the vertical acceleration felt by objects on earth. Equals -9.8 m/s2.
Circular motion
the motion of an object that is moving in a circle.
Angular displacement
the change in angle of an object’s location, written Δθ.
Angular velocity
rate of change of angular displacement, written ω=Δθ/Δt
Angular acceleration
change of angular velocity over a change in time, written α=Δω/Δt.
Period
the amount of time it takes for an object in circular motion to complete one orbit
Frequency
the number of orbits completed in one second by an object in circular motion
Centripetal acceleration
linear acceleration that points towards the center of the circle
Tangential velocity
linear velocity of the object moving in a circle
Inclined planes
slope that changes the direction of the acceleration due to gravity