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Scientific Method Step 1
Goal or Question
Scientific Method Step 2
Qualitative and Quantitative Date
Scientific Method Step 3
Hypothesis
Scientific Method Step 4
Experiments
Scientific Method Step 5
Results
Scientific Method Step 6
Law - Observable Pattern
Scientific Method Step 7
Theory
SI Unit for Time
Seconds (s)
SI Unit for Length
Meter (m)
SI Unit for Mass
Kilogram (kg)
SI Unit for Electric Current
Ampere (A)
SI Unit for Luminous Intensity
Candela (cd)
SI Unit for Amount of Substance
Mole (mol)
SI Unit for Temperature
Kelvin (K)
10^9
Giga / G / Billion / 1,000,000,000
10^6
Mega / M / Million / 1,000,000
10^3
Kilo / k / Thousand / 1,000
10^2
Hecto / h / Hundred / 100
10^1
Deca / da / Ten / 10
10^0
(none) / (none) / One / 1
10^-1
Deci / d / Tenth / 0.1
10^-2
Centi / c / Hundreth / 0.01
10^-3
Milli / m / Thousandth / 0.001
10^-6
Micro / μ / Millionth / 0.000 001
10^-9
Nano / n / Billionth / 0.000 000 001
Quantitative Measurements
Intensive and Extensive properties
Qualitative Measurements
General characteristics i.e. color, odor, taste,and tendency to undergo chemical change in the presence of other substances.
Intensive Properties
Properties who’s values are independents of the amount of a substance i.e. density, temperature
Extensive Properties
Properties who’s values are directly proportional to the amount of a substance i.e. mass, volume
Newton’s First Law
Law of Inertia - In the absence of an unbalanced applied force, a body at rest remains at rest and a body already in motion remains in motion with a constant velocity.
Newton’s Second Law
F=ma - The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Newton’s Third Law
Action and Reaction - For every force (action) there is an equal and opposite force (reaction)
Kinematics
Description of the motion of objects without consideration of what causes the motion
Scalar Quantity
Physical quantities that only possess a magnitude, or physical size, expressed by a numerical value, do not have directions associated with them i.e. distance, time, mass, temperature.
Distance
Total path length traversed moving from one location to another
Speed
Rate at which distance is traveled. SI derived unit is meter per second (m/s)
Vector Quantity
Physical quantities that have both magnitude and direction i.e. velocity, acceleration, displacement
Displacement
How far an object has traveled and in which direction, from a starting location
Velocity
The rate of change of position. SI derived unit is m/s, but as a vector with a direction
Acceleration
Time rate of change of velocity. Refers to not only increasing of one’s speed, but could also refer to a change in direction. SI derived unit is m/s².
One-dimensional Motion
Described using only a single vector component. i.e. free fall due to gravity can be described with a straight line
Two-dimensional Motion
Describes motion with two vector components. i.e. the curve of throwing a baseball
Force
Something capable of changing an objects state of motion- specifically its velocity.
Net Force
The combined effect of multiple forces acting on an object
Contact Force
Requires physical contact between objects i.e. collisions or friction
Field Force
Does NOT require physical contact for an object to be affected i.e. gravity, electrical forces, and magnetic forces
Weight
Force created when a mass is acted upon by a gravitational field
Friction
Resistance to motion that occurs whenever two media are in contact with each other
Static Friction
Situation where the frictional force is enough to prevent relative motion between surfaces
Kinetic/Sliding Friction
Occurs when there is relative sliding motion between the surfaces
Rolling Friction
Occurs when one surface rotates as it moves over the other surface
Air Resistance
The resistant force of friction that acts on an object as it moves through the air
Work
A transfer of energy, described by Newton-Meters (Nm) or Joules (J)
Energy
Gives an object the capability to do work. Two forms of it: Kinetic and Potential
Work by Constant Force
Equal to the product of the magnitudes of displacement and the component of the force parallel to the displacement (W=F*d)
Work by Variable Force
An example of this work is stretching a spring i.e. someone pushing harder and harder on an object until they overcome the force of static friction, however, the force of static friction does no work because there is no motion or displacement
Kinetic Energy
Energy of motion - K=(1/2)mv²
Potential Energy
Energy of position, or stored energy i.e. a compressed spring or drawn bow. Energy comes from the work done to compress the spring or draw the bow
Conservation of Energy
Energy is a conserved quantity: It can’t be created or destroyed, only transferred
Power
The rate of doing work - Work devided by the time it takes to do the work - p̄=(w/t-t0)
Linear Momentum
A way to quantify mass in motion
Impulse
When two objects collide, they exert large forces on one another for a short period of time. Equal to the change in the body’s momentum
Conservation of Linear Momentum
The momentum of an isolated system is conserved; the total momentum of a system is constant
Collisions
An interaction in which objects exchange energy and momentum
Collision Constraints
Direction, Elasticity, and Masses
Elastic Collision
Objects to do not experience permanent deformation; some kinetic energy may convert in to potential energy during temporary deformation; but that energy will revert back to kinetic as the objects regain their original shapes.
Equal Masses Collision
If two colliding objects have the same mass (m1 & m2), m1 will transfer all momentum to m2, which will move away from m1 at the velocity of m1 prior to the collision.
Greater Moving Mass Collision
Two colliding objects (m1 & m2), if m1 is at least 10 times the mass of m2 then m1 will lose almost no momentum while m2 will move in the same direction as m1 but at twice the velocity.
Lesser Moving Mass Collision
Two colliding objects (m1 & m2), if the stationary object m2 is at least twice the mass of the moving object m1, then m1 will rebound away from m2 in the opposite direction at nearly the same velocity it had before the collision, and m2 will barely move.
Inelastic Collision
Momentum is conserved but the total kinetic energy is not. Kinetic energy will be lost through permanent deformation of the objects or generation of hear, sound, or other forms of non-mechanical energy.
Center of Mass
The point at which all of the mass of an object or system may be considered to be concentrated for the purposed of linear or translational motion only.
Center of Gravity
The point where all of the weight of an object may be considered to be concentrated in representing the object as a particle
Jet Propulsion
Rockets are able to function based on conservation of momentum
Four Fundamental Forces
Strong Interaction, Weak Interaction, Electromagnetic Interaction, and Gravitational Interaction
Strong Interaction
Only occurs between nucleons and their quarks (~10^-15m). Force increases as quarks are pulled further apart.
Strong Interaction’s Mediating Particle
Gluon - A massless particle that carries energy and momentum between nucleons
Weak Interaction
Is responsible for many types of particle decay, including elementary and fundamental particle decay. Relative strength of 10^-9 and range of ~0.001 Femtometers
Weak Interaction’s Mediating Particle
W+, W- and Z particles
Electromagnetic Interaction
Predominant force in the known universe. Quantified by electric charge, electrons, quarks, and nucleons respond to this force. Relative strength of (1/137.04) and it’s range is an inverse-square force.
Gravitational Interaction
Obeys the inverse square law and is related to its mass, it is a cumulative force. The more mass an object has, the more force it can exert. It is the dominant force in a grand scale, but has little, if any influence. It is the weakest of the fundamental interactions.
Gravitational Interaction’s Mediating Particle
The force carrier particle is an as-of-yet unobserved but mathematically predicted particle called the Graviton
Electromagnetic Interaction’s Mediating Particle
Exchange Particle is the Photon
Newton’s Law of Gravitation
Every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of distances between them.
Translational Motion
Object moves across a surface but it does not rotate about its axis
Rotational Motion
Object rotates about its axis only, without moving across a surface
Rolling Motion
Object rotates about its axis and across a surface
Torque
Product of the force and the lever arm
Equilibrium
Sum of forces and torques are zero
Stability
An object’s center of gravity after a small displacement still lies above and inside its original base of support
Moment of Inertia
Found by the summation of the quantities of the masses multiplied by their distances squared
Rotational Work
Calculated from the multiplication of force by the arc length. (Torque multiplied by the angle of rotation)
Rotational Power
Calculated from the division of work by time. (Torque multiplied by angular speed)
Rotational Kinetic Energy
Calculated by the product of one-half multiplied by the moment of inertia multiplied by angular speed squared
Conservation of Angular Momentum
Total angular momentum remains constant - If the radius of a rotating system decreases, the velocity increases.
Precession
An external torque causes a change in angular momentum.
Elasticity
The ability of a substance to recover its shape once deforming forces are removed - is determined by intermolecular forces.
Deformation
When a force is applied to an object, causing it to change shape.
Stress
The measure of the force causing the deformation, quantified by applied force per unit cross-sectional area
Strain
The measure of deformation caused by the stress - Unitless quantity represented as the ratio of the deformation to the original shape
Elastic Moduli
Quantifies the amount of strain on an object for a given amount of stress, represented as the ratio of the stress to strain