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Kinematics
The study of motion
Depends on our point of reference
Are we curently in motion?
Motion
Movement of an object from one place to another, as measured by an observer.
If the line segment between the object and the observer changes in length, direction or both.
How can you tell if an object is in motion relative to another?
Uniform motion
Motion at a constant speed in a constant direction
Non-uniform motion
Movement that involves a change in speed, direction or both.
Scalar
Quantity that has only magnitude (size)
Vector
Quantity that has both magnitude (size) and direction
Distance
total length of the path travelled by an object in motion
Position
Distance and direction of an obejct from a particular reference point
Displacement
The change in position of an object
Resultant displacement
A common term for total displacement is…
Vector scale diagram
Representation of motion using vectors drawn to scale
Speed
distance travelled per unit of time (scalar)
Velocity
displacement of an object per unit of time (vector)
Instantaneous velocity
Velocity at a specific moment in time
Acceleration
Change in velocity per unit of time (vector)
Galileo Galilei
Who discovered acceleration due to gravity?
Projectile
An object that moves along a two dimensional parabolic trajectory due to gravity
Force
A push or pull
Causes objects to change their motion and/or shape
Vector
Measured in newtons (1 N = 1kg*m/s2)
Gravitational force
Electromagnetic force
Strong nuclear force
Weak nuclear force
What are the types of forces?
Gravitational Force
Known as “force of gravity” or “weight”
Attraction ONLY
Acts between all objects in the universe
Weak force but long range
Electromagnetic Force
Caused by electric charges
Most common (i.e. light, electricity, magnetic attraction)
Strong force and long range
Strong nuclear force
Holds protons and neutrons together in the nucleus of an atom
Strongest force but very short range
Weak nuclear force
Responsible for radioactive decay
Strong force but very short range
Force of Gravity (Fg)
Force of attraction between Earth and object
Normal Force (Fn)
Force perpendicular to surface upon which object rests
Friction Force (Ff)
Force that opposes (attempted) motion of object
Applied Force (Fa)
Force exerted on object
Tension Force (Ft)
Force exerted by string or rope on object
Free-body diagram
Simple drawing representing the object being analyzed and all the external forces acting on it
Net Force (Fnet)
Vector sum of all the forces acting on an object
Also known as the resultant force
(Fnet= F1 + F2 + …)
Inertia
Property of matter that causes it to resist changes in motion
Is directly proportional to the mass of the object
Newton’s first law of motion
Also known as the law of inertia
If the net external force on an object is zero, the object will remain at rest or continue to move at a constant velocity
Implications of Newton’s first law of motion
Objects at rest tend to remain at rest
Objects in motion tend to remain in motion
If the velocity is constant, the net force acting on it must be zero
If the velocity is changing (in direction and/or magnitude) the change must be caused by a net external force acting on the object
Newton’s second law of motion
Fnet=ma
Newton’s third law of motion
Every action has an equal opposite reaction
The action and reaction forces act on different obejcts
Faction = -Freaction
Gravitational Field Strength (g)
Force per unit mass acting on an object in a gravitational field (N/kg)
Decreases as altitude increases
Varies according to location since Earth is not a perfect sphere
On Eeaarth g=9.8N/kg or 9.8m/s2
Mass
Quantity of matter in an object (kg)
Constant - only changes if the quantity of matter changes
Measured using a balance
Weight (Fg)
Measure of the force of gravity acting on object (N)
Varies - depends on the magnitude of g at that location
Measured using a spring scale or a force sensor
Weightlessness or Micro Gravity
Terms often used to describe falling objects
Are misleading because gravity is still in effect
A better explanation is the object is experiencing a constant free-fall effect
Static Friction (Fs)
Force that prevents a stationary object from starting to move
Kinetic Friction (Fk)
Force that acts against an object in motion
Includes sliding friction, rolling friction, fluid friction
Friction
can wear out machines, reduce efficiency, cause unwanted heat, etc.
Can be controlled by: Making surfaces smooth, using materials with little friction, lubricating with grease or oil and using ball bearings
rolling friction is a type of static friction
Mechanical Work
Occurs when a force displaces an object in the direction of the force or a component of the force
Work
is a scalar quantity (W=FchangeindD)
Positive work
The force and displacement are in the same direction
The speed of the object tends to increase
Negative work
The force and displacement are in opposite directions
The speed of the object tends to decrease
Zero work
When no work is done on the object
Energy (E)
The capacity to do work
Comes in many forms
Scalar
Joules
Kinetic energy
The energy possessed by a moving object
Potential energy
A stored form of energy
Gravitational Potential Energy
The energy possessed by an object due to it’s position relative to Earth
Mechanical energy
The sum of an object’s kinetic energy and gravitational potential energy
Work-energy principle
The net amount of mechanical work done on an object is equal to the object’s change in energy
Forms of energy
Thermal
Nuclear
Elastic
Electrical
Gravitational
Sound
Radiant
Kinetic
Chemical
Heat
Transfer of thermal energy from a warmer substance to a cooler one
Occurs until both substances are at the same temperature
Energy transformation
Change of energy from one form to another
Law of conservation of energy
Energy is neither created nor destroyed
When energy changes from one form to another no energy is lost