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Momentum
inertia in motion. This is a property of matter that is conserved in a collision.
Symbol for momentum
p (this is a lower case p)
Equation for momentum
p= m * v
Unit for momentum
kg * m/s
What is needed to change momentum?
An external force (a force from outside the system being studied)
Newton's original form to describe 2nd law of motion. Equation for change in momentum
F= Δp/ t
Equation for change in momentum (Impulse-Momentum Theorem)
F * t = Δ m * v or F*t = mfvf - mivi
Impulse symbol
FΔt
impulse
The force acting on an object times the time during which the force acts. The impulse is how much an external force changes momentum
Unit for impulse
Ns or kgm/s
Conserved
it remains unchanged in a process (has to be the same before and after)
System
all of the objects whose motion you are interested in
Frame of reference
boundaries of the system
External forces
force exerted on an object that is outside the frame of reference. Cause changes in momentum
Internal forces
force exerted on an object that is inside the frame of reference. Does not cause a net change in momentum
Law of conservation of momentum
If no external forces act on a system of objects, the total momentum of that system remains unchanged
When is momentum conserved when a collision happens?
always
Elastic collision
Both energy and momentum are conserved. Typically occurs when field forces collide (ex. Magnetic bumpers on carts)
Inelastic collision
Mechanical Energy is not conserved but momentum is conserved. m1v1i +m2v2i = m1v1f + m2v2f
Perfectly inelastic collision
Mechanical Energy is not conserved. Objects stick together and have the same vf (final velocity). Momentum is conserved.
Explosive Collision
One object breaks into multiple pieces. Mechanical energy is not conserved, it is gained in this type of collision. Momentum is conserved.
Closed System
The system does not lose or gain mass
Isolated System
A closed system with no net external force acting on it.
Electrostatics
the study of electric charges that can be collected and held in one place
Neutral
When the positive charges exactly balance with the negative charges
Insulator
a material through which a charge will not move easily
Conductor
a material, such as copper, through which a charge will move easily
Electroscope
a device that is used to detect electric charges and consists of a metal knob connected by a metal stem to two thin metal leaves
Charging by Contact (Same as Charge by Conduction)
charging a neutral body by touching it with a charged body
Charging by Induction
charging an object without touching it
Polarization
When charges in a nonconductor are temporarily separated due to the presence of a nearby charge
Grounding
the process of removing excess charge by touching an object to earth
Coulomb's Law
states that the force between two changes varies directly with the product of their charge and inversely with the square of the distance between them. This is the equation that allows the prediction of electrostatic force between two charged particles.
Coulomb
the SI standard unit of charge, one coulomb, C, is the magnitude of the charge of 6.24X10^18 electrons or protons
Elementary Charge
the magnitude of the charge of an electron or that of a proton
Electric Field
The field that exists around any charged object; produces forces that can do work, transferring energy from the field to another charged object. Charged objects interact with the electric field.
Electric Field Line
Lines that provide a picture of an electric field, indicate the field's strength by the spacing between the lines, never cross, and are directed toward negative charges and away from positive charges
Volt
The unit equal to one joule per coulomb. The Volt is the unit of Electric Potential Difference.
Gravitational Potential Energy
The stored energy of position possessed by an object. In another way: The energy of an object due to the position of that object.
Reference Level
The position where the potential energy is determined to be zero
Elastic Potential Energy
The energy stored in a pulled string.
Mechanical Energy
The energy an object possess due to its motion or position.
Thermal Energy
The internal energy in substances due to the vibration and movement of atoms.
Conservation of Energy
Energy can never be created or destroyed. It is constant in the universe and can only change forms.
Joule
The unit of energy
Conservation of Mechanical Energy
With no outside forces present, mechanical energy will remain constant
Electric Motor
an apparatus that converts electric energy into rotational kinetic energy
Work
How much a force changes the energy of a system. The product of the force times the displacement in the direction of the force causing the displacement
Energy
the ability of an object to produce a change in itself or the world around it. A property of an object. It is always conserved and may change forms.
Kinetic Energy
energy resulting from motion. KE= 1/2mv^2
Work-Energy Theorem
work is equal to the change in kinetic energy of an object when the only change to the object is its speed
Power
the rate at which work is done. P = W/t
Watt
1 J of energy transferred in 1 second. This is the unit for Power
Periodic Motion
any motion that repeats in a regular cycle
Simple Harmonic Motion
a motion that occurs when the restoring force on an object is directly proportional to the object's displacement from equilibrium
Period
in any periodic motion, the amount of time required for an object to repeat one complete cycle of motion
Amplitude
in any periodic motion, the maximum distance an object moves form equilibrium
Hooke's Law
states that forces acting on a spring are directly proportional to the amount that the spring is stretched
Resonance
a special form of SHM that occurs when small forces are applied at regular intervals to an oscillating or vibrating object and the amplitude of the vibrating increases
Wave
a disturbance that carries energy through matter or space; transfers energy without transferring matter
Wave Pulse
a single disturbance or pulse that travels through a medium
Periodic Wave
a mechanical wave that moves up and down at the same rate
Transverse Wave
a mechanical wave that vibrates perpendicular to the direction of the wave motion
Longitudinal Wave
a mechanical wave in which the disturbance is in the same direction or parallel to the direction of the wave motion
Trough
the low point of the wave
Crest
the high point of the wave
Wavelength
the shortest distance between points where the wave pattern repeats itself, such as from crest to crest or from trough to trough
Frequency
the number of complete oscillations that a wave makes in one second, measured in Hz
Principle of Superposition
states that the displacement of a medium caused by two or more waves is the algebraic sum of the displacements of the individual waves
Interference
results from the superposition of two or more waves; can be constructive (resultant has larger amplitude) or destructive (resultant has smaller amplitude)
Node
the stationary point where two equal wave pulses meet and are in the same location, having a displacement of zero
Antinode
the point with the largest displacement when two wave pulses meet
Standing Wave
a wave that appears to be standing still, produced by the interference of two traveling waves moving in opposite directions
Mechanical wave
a disturbance that moves through a medium
Traveling wave
wave crest moves through a medium from one place to another.
Restoring Force
the force trying to restore an object back to equilibrium
Surface Wave
The waves at the top of water that move both parallel and perpendicular to the direction of the wave motion
Reflected Wave
The wave that bounces back from a boundary
Pendulum
A massive object called a bob suspended by a string or light rod. If the bob is disturbed from equilibrium, the pendulum will move in simple harmonic motion for small angles.
Reflection
When a wave strikes a boundary in which it cannot pass through and is not absorbed the ray will change directions according to the Law of Reflection
Electric Potential Difference
The change in potential energy per unit charge in an electric field. Expressed in Volts
Schematic Diagram
drawing of a circuit (like hw E/F)
Electric Current
the flow of electrical charges (charged particles)
Conventional Current
a flow of positive charges that move from high potential to low potential
Battery
a device made up of several galvanic cells connected together that converts chemical energy to electrical energy
Electric Circuit
a closed loop or pathway that allows electrical charges to flow
Ampere
a flow of electric charge or current equal to one coulomb per second
Resistance
a property that determines how much current will flow; is equal to voltage divided by current
Resistor
a device with a specific resistance; may be made of long, thin wires; graphite; or semiconductors and often is used to control the current in circuits or parents of circuits
Voltage
the electrical potential difference
Parallel Circuit
A type of connection where there are 2 or more paths from one place on a circuit to another place on the circuit. In other words, A type of connection in which the circuit component and the voltmeter are aligned parallel to one another in the circuit, the potential difference across the voltmeter equals the potential difference across the circuit element, and there're two or more current paths to follow
Series Circuit
a type of connection in which there is only a single current path
Superconductor
a material with zero resistance that can conduct electricity without a loss of energy
Kilowatt-Hour
an energy unit used by electric companies to measure energy sales; I kWh is equal to 1000 watts, delivered continuously for 3600s seconds (1 hours)
Direct current
Charge only flows in one direction in a circuit.
Equivalent Resistance
The sum of all the resistances in a circuit. When calculating, it must be taken into account if the individual resistors are in series or parallel.
Short Circuit
occurs when a very low resistance circuit is formed, causing a very large current that could easily start a fire
Fuse
a short piece of metal that acts as a safety device in an electric circuit by melting and stopping the current from flowing if a dangerously high current passes through the circuit. It is a device designed to melt and break when current flowing through it becomes too great.
Circuit Breaker
an automatic switch that acts as a safety device in an electrical circuit by opening and stopping the current flow when too much current flows through the circuit
Combination Series-Parallel Circuit
an electric circuit that includes both series and parallel branches