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- 首页 >> Python编程 -M AP Physics 1 - Final Exam - Fall 2020
Format: The exam will be a total of 70-75 min in length and will consist of both multiple choice and free response problems. You will need to bring a calculator and writing utensils.
Study Suggestions: Don’t study the what; focus on the how and the why. For example, how does the normal force change when the angle of incline is increased? Why does this happen? Going back through your old homework/quizzes/classwork and not only re-doing the problems, but also asking what concepts are at play, will aid in you preparing for this exam.See “How To Study” on PowerSchool. Come to tutorial if you have any questions.
I will post review resources on Web Assign and PowerSchool.
Google is also a magnificent tool. Don’t hesitate to google things such as “AP Physics 1 work and energy problems” to find an abundance of practice problems with answer keys online!!
In your groups, fluff out the study guide below. Add content underneath each bullet point that explains that concept.
Content:
¨ Trigonometry + Algebra
Units
Deriving equations
Vectors
Vector v.s. scalar
Vector have both magnitude and direction
Scalar only have magnitude
Symbol for a vector is an arrow
Length of the arrow indicates the magnitude of the vector
Direction the arrow is drawn indicates the direction of the quantity
1D: either go directly right, left, up, or down
Can use “+” or “-” to define their direction
2D: going at an angle
Cannot use “+” or “-”
Requires an angle (#) and a description to define direction
Vector Algebra (finding the resultant of two vectors, or resolving a 2D vector into its components)
¨ Equilibrium
What is equilibrium
All forces acting on the object sum up to zero. The object is moving at a constant velocity and zero acceleration.
Newton’s First Law
States that an object at rest will stay at rest, or an object in motion will stay in motion (in the same direction at constant speed), unless an unbalanced external force acts upon it (Law of Inertia)
An object is at equilibrium when the Fnet acting on the object is 0 N
An object at equilibrium can either be at rest or moving at a constant velocity
Acceleration = 0m/s^2 for an object at equilibrium
Free body diagrams
Force of gravity= go to force (goes down)
Normal force= perpendicular to the surface Force of friction= draw force opposite of motion
Incline planes: break gravity down into parallel and perpendicular component (mgsintheta and mgcostheta); mgcostheta is always opposite the normal force
Always draw the free body diagram before you start a problem
Inertia
The tendency of an object to resist changes in motion
The amount of inertia possessed by an object is dependent solely upon its mass
More mass = more inertia = more resistance
Mass, Weight, Normal Force, Tension, Friction (static and kinetic)
Mass : amount of material contained in an object
Measured in kilograms (kg)
Weight (W or Fg) : force due to gravity acting on an object
Measured in Newtons (N)
Calculated as Fg = mg
Normal force (N or FN) : a force of a surface on an object in contact with that surface
Acts perpendicular to a surface, away
A platform scale reads the normal force
At rest = Fnet = 0
Fg = FN
Mg = FN
Tension (T or F) : force transmitted through a string, rope, cable, or wire when it is pulled tight by forces acting from opposite ends
Directed along the length of the wire (for example) and pulls equally on the objects on opposite ends of the wire
Friction (Ff) : force of a surface on an object acting along a surface
Acts in opposite direction of object’s motion
Static - results when surfaces of two objects are at rest relative to one another
Kinetic - results when an object slides across a surface
Coefficient of friction : μ , a unitless quantity that tells how sticky two surfaces are
Larger μ means more friction
MAX FRICTION : Ff = μ x FN
Inclined Planes
Break gravity down into components
Parallel and perpendicular components (mgsintheta and mgcostheta)
When we calculating the horizontal force acting on the object on the Inclined planes we use the equation mg*sin(θ)
When we calculating the vertical force acting on the object on the Inclined planes we use the equation mg*cos(θ)
¨ Kinematics - the study of motion without considering mass or forces applied
Displacement
∆X = Xf - Xi
Direction and magnitude of the straight line between an initial and final position
Path taken DOES NOT matter, only starting point and end point
Measured in meters
Vector quantity
Define by - or +
Define by the angle measurement
Distance
(d) how much ground is covered during its motion
Velocity
Displacement over time (∆X/t)
Vector quality
m/s
Average velocity
Total distance/total time
Doesn't care about change speed throughout route
Pick two points, draw a straight line, and get the slope
instantaneous velocity
speed at one particular instant
Determine the slope of the tangent line to curve
Acceleration
Acceleration (a): tells how much an object’s velocity changes per second
Vector quantity
Measured in meters per second (m/s)
When an object speed up, acceleration is in the same direction as motion
When an object slows down, acceleration is opposite the direction of motion
An accelerating object can not be at equilibrium
Kinematics Graphs (x vs t, v vs t, a vs t)
Position vs time
Velocity is slope
Straight line- velocity constant
Curved, change in velocity
Velocity vs time
Slope is acceleration
Straight lines
Motion in One Dimension using kinematics equations
Projectile Motion using kinematics equations
Projectile- object which only force acting on it is gravity
Horizontally launched projectiles
Has initial velocity (vx) but not in y direction
Gain a vertical component and horizontal takes the same
Non horizontally launched projectiles (at an angle)
Initial velocity in x and y direction
Forces
Free body diagrams
A diagram that represents one or more objects, along with the forces acting on those objects
Objects are typically drawn as dots, where the dot represents the center of mass of the object
The forces are always shown as arrows starting on the dot and moving away in the direction the force acts
The length of the arrow represents the magnitude of the force
The arrows are always labeled with the type of force it is
Newton’s 2nd Law
The acceleration of an object is directly related to its net force and inversely related to its mass.
Net force
All forces added together
Fnet=ma
Acceleration
As mass decreases0, acceleration increases
Newton’s 3rd law
States that for every action force, there is an equal and opposite reaction force
All interactions involve an action force and a reaction force. Two objects are always involved
Smaller mass goes faster
The size of the forces on the first object equals the size of the force on the second object
The direction of the force on the first object is opposite to the direction of the force on the second object
Forces always come in pairs: equal and opposite action-reaction force pairs
Multiple object systems
Modified Atwood’s machine and Atwood’s machine
¨ Work and Energy
Work
How do you know work is done?
If ME changes OR there’s an unbalanced external force present
Work is NOT done if no change in energy or balanced external force
How do you calculate work?
W = F x D
Energy
Mechanical energy
The ability to do work; the sum of all kinetic and potential energy in a system
Systems (when can a system have Ug, when can a system have Us)
Includes all things outputting a force, Earth is in system for Ug
Conservation of energy
Energy can not be created or destroyed.
Power
Define
Rate at which energy is transferred
Units
Hp, Watts (W); J/S; Nm/s
Calculate
P = W/Δt
Format: The exam will be a total of 70-75 min in length and will consist of both multiple choice and free response problems. You will need to bring a calculator and writing utensils.
Study Suggestions: Don’t study the what; focus on the how and the why. For example, how does the normal force change when the angle of incline is increased? Why does this happen? Going back through your old homework/quizzes/classwork and not only re-doing the problems, but also asking what concepts are at play, will aid in you preparing for this exam.See “How To Study” on PowerSchool. Come to tutorial if you have any questions.
I will post review resources on Web Assign and PowerSchool.
Google is also a magnificent tool. Don’t hesitate to google things such as “AP Physics 1 work and energy problems” to find an abundance of practice problems with answer keys online!!
In your groups, fluff out the study guide below. Add content underneath each bullet point that explains that concept.
Content:
¨ Trigonometry + Algebra
Units
Deriving equations
Vectors
Vector v.s. scalar
Vector have both magnitude and direction
Scalar only have magnitude
Symbol for a vector is an arrow
Length of the arrow indicates the magnitude of the vector
Direction the arrow is drawn indicates the direction of the quantity
1D: either go directly right, left, up, or down
Can use “+” or “-” to define their direction
2D: going at an angle
Cannot use “+” or “-”
Requires an angle (#) and a description to define direction
Vector Algebra (finding the resultant of two vectors, or resolving a 2D vector into its components)
¨ Equilibrium
What is equilibrium
All forces acting on the object sum up to zero. The object is moving at a constant velocity and zero acceleration.
Newton’s First Law
States that an object at rest will stay at rest, or an object in motion will stay in motion (in the same direction at constant speed), unless an unbalanced external force acts upon it (Law of Inertia)
An object is at equilibrium when the Fnet acting on the object is 0 N
An object at equilibrium can either be at rest or moving at a constant velocity
Acceleration = 0m/s^2 for an object at equilibrium
Free body diagrams
Force of gravity= go to force (goes down)
Normal force= perpendicular to the surface Force of friction= draw force opposite of motion
Incline planes: break gravity down into parallel and perpendicular component (mgsintheta and mgcostheta); mgcostheta is always opposite the normal force
Always draw the free body diagram before you start a problem
Inertia
The tendency of an object to resist changes in motion
The amount of inertia possessed by an object is dependent solely upon its mass
More mass = more inertia = more resistance
Mass, Weight, Normal Force, Tension, Friction (static and kinetic)
Mass : amount of material contained in an object
Measured in kilograms (kg)
Weight (W or Fg) : force due to gravity acting on an object
Measured in Newtons (N)
Calculated as Fg = mg
Normal force (N or FN) : a force of a surface on an object in contact with that surface
Acts perpendicular to a surface, away
A platform scale reads the normal force
At rest = Fnet = 0
Fg = FN
Mg = FN
Tension (T or F) : force transmitted through a string, rope, cable, or wire when it is pulled tight by forces acting from opposite ends
Directed along the length of the wire (for example) and pulls equally on the objects on opposite ends of the wire
Friction (Ff) : force of a surface on an object acting along a surface
Acts in opposite direction of object’s motion
Static - results when surfaces of two objects are at rest relative to one another
Kinetic - results when an object slides across a surface
Coefficient of friction : μ , a unitless quantity that tells how sticky two surfaces are
Larger μ means more friction
MAX FRICTION : Ff = μ x FN
Inclined Planes
Break gravity down into components
Parallel and perpendicular components (mgsintheta and mgcostheta)
When we calculating the horizontal force acting on the object on the Inclined planes we use the equation mg*sin(θ)
When we calculating the vertical force acting on the object on the Inclined planes we use the equation mg*cos(θ)
¨ Kinematics - the study of motion without considering mass or forces applied
Displacement
∆X = Xf - Xi
Direction and magnitude of the straight line between an initial and final position
Path taken DOES NOT matter, only starting point and end point
Measured in meters
Vector quantity
Define by - or +
Define by the angle measurement
Distance
(d) how much ground is covered during its motion
Velocity
Displacement over time (∆X/t)
Vector quality
m/s
Average velocity
Total distance/total time
Doesn't care about change speed throughout route
Pick two points, draw a straight line, and get the slope
instantaneous velocity
speed at one particular instant
Determine the slope of the tangent line to curve
Acceleration
Acceleration (a): tells how much an object’s velocity changes per second
Vector quantity
Measured in meters per second (m/s)
When an object speed up, acceleration is in the same direction as motion
When an object slows down, acceleration is opposite the direction of motion
An accelerating object can not be at equilibrium
Kinematics Graphs (x vs t, v vs t, a vs t)
Position vs time
Velocity is slope
Straight line- velocity constant
Curved, change in velocity
Velocity vs time
Slope is acceleration
Straight lines
Motion in One Dimension using kinematics equations
Projectile Motion using kinematics equations
Projectile- object which only force acting on it is gravity
Horizontally launched projectiles
Has initial velocity (vx) but not in y direction
Gain a vertical component and horizontal takes the same
Non horizontally launched projectiles (at an angle)
Initial velocity in x and y direction
Forces
Free body diagrams
A diagram that represents one or more objects, along with the forces acting on those objects
Objects are typically drawn as dots, where the dot represents the center of mass of the object
The forces are always shown as arrows starting on the dot and moving away in the direction the force acts
The length of the arrow represents the magnitude of the force
The arrows are always labeled with the type of force it is
Newton’s 2nd Law
The acceleration of an object is directly related to its net force and inversely related to its mass.
Net force
All forces added together
Fnet=ma
Acceleration
As mass decreases0, acceleration increases
Newton’s 3rd law
States that for every action force, there is an equal and opposite reaction force
All interactions involve an action force and a reaction force. Two objects are always involved
Smaller mass goes faster
The size of the forces on the first object equals the size of the force on the second object
The direction of the force on the first object is opposite to the direction of the force on the second object
Forces always come in pairs: equal and opposite action-reaction force pairs
Multiple object systems
Modified Atwood’s machine and Atwood’s machine
¨ Work and Energy
Work
How do you know work is done?
If ME changes OR there’s an unbalanced external force present
Work is NOT done if no change in energy or balanced external force
How do you calculate work?
W = F x D
Energy
Mechanical energy
The ability to do work; the sum of all kinetic and potential energy in a system
Systems (when can a system have Ug, when can a system have Us)
Includes all things outputting a force, Earth is in system for Ug
Conservation of energy
Energy can not be created or destroyed.
Power
Define
Rate at which energy is transferred
Units
Hp, Watts (W); J/S; Nm/s
Calculate
P = W/Δt