The figures below show hollow spheres (not drawn to scale) that are rolling at a constant rate without slipping. The spheres all have the same mass, but their radii as well as their linear and angular speeds vary.

Rank the radius of the spheres.
Get comfortable with angular kinematic problem solving
Define rotational kinemtaic terms


Take Quiz
In Case A, a metal bullet penetrates a wooden block. In Case B, a rubber bullet with the same initial speed and mass bounces off of an identical wooden block.

Will the speed of the wooden block after the collision be (i) greater in Case A, (ii) greater in Case B, or (iii) the same in both cases? _____ Explain your reasoning.
Practice with conservation of momentum
Amanda and Bertha are driving cars in a race. Their two cars, including Amanda and Bertha, have the same mass. At one point in the race, they both change their speeds by 10 m/s in 2 seconds. Ignore air friction.

Use conservation of momentum to quantitatively solve problems
Introduce Conservation of Momentum
Students who missed:
Practice with impulse and momentum
Define momentum and change in momentum
Look at momentum and impulse qualitatively and quantitatively
Wrap up energy
Crush quiz
Measure your power
| Block | Start | End |
|---|---|---|
| Block 1 | 9:40 | 10:33 |
| Block 2 | 10:35 | 11:28 |
| A Lunch | 11:30 | 12:00 |
| Block 3 | 12:02 | 1:07 |
| Block 3 | 11:30 | 12:36 |
| B Lunch | 12:37 | 1:07 |
| Block 4 | 1:09 | 2:00 |
Model work done by friction
Measure your power
Shown below is a graph of velocity versus time for an object that moves along a straight, horizontal line under the perhaps intermittent action of a single force exerted by an external agent.

Rank the work done on the box by the external agent for the 5-second intervals shown on the graph.
In the figures below, identical boxes of mass 10 kg are moving at the same initial velocity to the right on a flat surface. The same magnitude force, F, is applied to each box for the distance, d, indicated in the figures.

Rank the work done on the box by F while the box moves the indicated distance.
Model work done by friction
Model work done by friction experimentally
Complete on whiteboard with your lab group. Show all work. Include an energy bar graph
Practice with energy













Remember the things from our energy unit
Model Circ Motion
Make predictions with Energy Conservation
BREAKKKKKKKK!!!
Starting from rest, Angel and Britney skateboard down a hill as shown. Angel rides down the steep side while Britney rides down the shallow side. Angel has more mass than Britney. Assume that friction and air resistance are negligible.
Is the...(i) greater for Angel, (ii) greater for Britney, or (iii) the same for both skateboarders?

...speed at the bottom of the hill...
...work done by the gravitational force on the skateboarder...
...work done by the normal force on the skateboarder
...kinetic energy at the bottom of the hill...
In each case below, an arrow has been shot from the top of a building either up at a 45º angle, straight out horizontally, or down at a 45º angle. All arrows are identical and are shot at the same speed, and the heights of the buildings and the direction the arrows are shot are given. Ignore air resistance.

Rank the speed of the arrows just before they hit the ground below.
For extra excitement, a new roller coaster ride is designed to launch the riders over an alligator-infested lagoon. The frictionless coaster starts at rest at point A. The coaster lands on a ramp on the other side of the lagoon.

After it is airborne, will the maximum height of the coaster be (i) greater than, (ii) less than, or (iii) equal to the height at point A?
Explain your reasoning.
In the figures below, identical boxes of mass 10 kg are moving at the same initial velocity to the right on a flat surface. The same magnitude force,

Rank the work done on the box by F while the box moves the indicated distance.
Use energy to model and predict situations
A performer on a skateboard is launched by a spring initially compressed a distance

Identify Energy Storage
Model cons. of energy & the work-energy theorem graphically
Define energy and the ways it is stored
__
Model orbits objects with centripetal motion
Model Gravity
Model a conical pendulum
A sled slides along a vertical circular track of radius

A.
B. 
C.
D. 
A motor swings a ball on a string in a vertical circle such that the tension in the string is constant throughout the ball's motion. Which of the following correctly indicates at which point the ball has the greatest speed and provides a valid justification?
A. At the topmost point, because the tension force and gravitational force are both directed toward the center of the ball's motion.
B. At the topmost point, because the net force on the ball is zero.
C. At the bottommost point, because the tension offsets the gravitational force.
D. At the bottommost point, because the net force on the ball is a maximum.
Model horizontal circular motion
A skateboarder is skating over a circular bump. At the instant shown, she is at the top of the bump and is moving with a speed of 5 m/s. Is the normal force exerted on the skateboarder by the bump (i) greater than, (ii) less than, or (iii) equal to the weight of the skateboarder? Explain your reasoning.

Model centripetal motion
Test Corrections Due Friday 2/6
Model vertical circles
HW PC (due Friday):
Test Corrections Due Friday 2/6
Model Centripetal Forces
HW Physics Classroom:
Test Corrections Due Friday 2/6
Model circular motion kinematically

Prep for the Test
Givens:
Model Atwood Machines
Model Atwood Machines
Modeling Forces on Accelerating Systems
or Magnitude:
A spring is attached to the ceiling of an elevator, and a block of mass M is suspended from the spring. The cases are identical except that in Case A the elevator is moving upward with a constant speed of 7 m/s, while in Case B the elevator is moving downward with a constant speed of 9 m/s. Will the spring be stretched (i) more in Case A, (ii) more in Case B, or (iii) the same in both cases?
Explain your reasoning.
Create a mathematical model for spring forces
Anna Litical and Noah Formula now place a 2-kg brick on a wooden board and incline the board at 35

A person exerts a force

Use Incline Plane Models to solve problems
Wait before starting Part 2:
Model forces on inclines
Remember what we were doing before break...
Model forces on inclined planes
Ease into break
Quiz
Two identical blocks, 1 and 2, are connected by a massless string. In Case A, a student pulls on a string attached to block 2 so that the blocks travel to the right across a desk at a constant speed of 10 cm/s. In Case B, the student pulls on a string attached to block 1 so that the same blocks travel across the same desk to the left at a constant speed of 20 cm/s.
Will the tension in the diagonal string connecting the two blocks be (i) greater in Case A, (ii) greater in Case B, or (iii) the same in both cases? Explain your reasoning.

Practice with friction
Experimently model static friction
A spaceship is attached to two cargo pods by rods. At the instant shown, the speed of the pods and of the spaceship is 300 m/s. In Case A the acceleration of the ship and of the pods is 3 m/s to the left, while in Case B it is 2 m/s to the right. All masses are given in terms of M, the mass of an empty pod.

Will the tension or compression at point P in the tow rod be (i) greater in Case A, (ii) greater in Case B, or (iii) the same in both cases? Explain your reasoning.
Model friction qualitatively and quantitatively
Model Frictional Forces
Identify difference between static and kinetic friction
A person who weighs 600 N is standing on a scale in an elevator. The elevator is identical in both cases. In both cases the elevator is moving downward, but in Case A it is accelerating upward and in Case B it is accelerating downward (at

Will the scale reading be (i) greater in Case A, (ii) greater in Case B, or (iii) the same in both cases? _____ Explain your reasoning.
Define N3L
Introduce Friction Equation and Ideas
In the N2L packet from yesterday - complete top row (givens & diagrams) for Question #2
Use N2L to model physical situations and make predictions about forces and motion
Use N2L to solve force problems

Model unbalanced forces with a fan cart
Band Kids:
Collect Data for Unbalanced Force Lab
Practice with Force Diagrams:t
Model gravitational and spring forces experimentally
How does weight (gravitational force) depend on mass and the local gravitational field?
Determine the relationship between the stretch displacement of your spring and the force that is used to stretch the spring.
Water skiers are pulled at a constant speed by a towrope attached to a speedboat. Because the weight of the skiers and the type of skis they are using varies, they experience different resistive forces from the water. Values for this resistive force (RF) and for the speed of the skiers are given.

Rank the tension in the towrope. Explain your reasoning
Learn how to draw the three force diagrams
Check projectile motion understanding
Model forces vectorially
| Group | Whitebard Situations |
|---|---|
| Haylee, Tyler, Mason, Kyle | Speed up Situation |
| Nadine, Max, Ryan | Slow Down Situations |
| Arianna, Arletta, Antonio | 90º Turn |
| Emma, Olivia, Jonah | Circle Question |
Identify forces and use FBDs to represent forces acting on objects
Describe the causal relationship for motion
of the
: Would you rather be able to see microscopic things or distant galaxies with your naked eye?
Practice Projectile Motion
Explore the causes of different types of motion
Model & Predict Projectile Motion
Model Projectile Motion for angled launched projectiles
Line up 4 evenly spaced rings stands so that the ball goes through each ring stand.
| Height (m) | Range (m) |
|---|---|
| 1.003 | 2.650 |
| 1.003 | 2.659 |
| 1.003 | 2.713 |
| 1.003 | 2.720 |
| 1.003 | 2.723 |
| 1.003 | 2.693 |
Sharon Steady and Al Wayskachon won South’s recent egg toss contest held during Homecoming week. In their winning toss, Sharon gave the egg an underhand toss, releasing it with a velocity of 7.5 m/s at an angle of 30° to the horizontal. To the pleasure of the crowd, Al caught the egg at the same height as the toss without even a fracture to its shell.
Make test corrections
We will use the same steps for every correction:
Think clearly, show your physics, learn deeply
Car A is traveling to the right at a constant velocity
time it takes Car B to catch up top Car A?

A.
D. It cannot be determined without knowing the distance traveled by the cars
Car A is traveling to the right at a constant velocity

On the same axes, sketch the velocity graphs for each car. Label any important velocites or times.
Model Projectiles Fired at an Angle
Model and predict projectile motion
How can we determine the marble’s horizontal launch speed and predict its landing spot from a new height?
Use the constant-velocity model horizontally and constant-acceleration model vertically to measure launch speed and predict range from different heights.
Title, date, partners, equipment list: ruler track, marble, carbon paper, meterstick.
Sketch setup with labeled heights and reference line.
Raw tables for all trials; clearly show calculations for
Final claim-evidence-reasoning tying models to your results.
Use kinematics to problem-solve horizontally launched projectile motion questions
A duck flies past a truck that is at rest. The duck takes

Define a projectile
Model the motion of objects in free fall
Finish
Define free fall and solve problems involving free fall motion
In each case shown, someone is running on a flatbed train car as the train moves. In cases C and D, the person is running toward the front of the train, while in cases A and B the person is running toward the rear. The speeds of the train and of each person relative to the train are given.

Rank the speed of the runners relative to the observer standing beside the tracks.
Shown are five asteroids and a spaceship, all moving in the same direction away from Earth. The velocities of the asteroids and of the spaceship are given as measured from Earth.

Explain your reasoning
Model 2D relative motion
Calculate relative velocities with vector addition
Model relative motion
-> PC: Vectors and Projectiles 2: Component Addition
Add two-dimensional vectors
Due Wednesday:
Shown below are the paths two motorcyclists took on an afternoon ride. Both started at the same place, and both took the same time for the ride. Rider A traveled east for 19 km and then south for 4 km. Rider B traveled south for 7 km and then east for 16 km.

Is the magnitude of the displacement of the rider (i) greater in case A, (ii) greater in case B, or (iii) the same in both cases? Explain your reasoning.
Measure and draw 2D Vectors
Add together right angled vectors
Problem-solve motion questions in small gorups
Crush your quiz
Use equations and graphical models to solve problems
Target: time between photogates = 0.12 s

The figure above shows a cart on an inclined ramp. The cart is released from rest a distance
How far from photogate 1 should photogate 2 be placed to get 0.12 s between gates?
Use the constant-acceleration particle model to:
Cart, inclined ramp, 2 photogates + timer, meterstick, tape, angle finder (optional), data table.
Titles
Procedures and data
labeled tables/graphs
units
best-fit lines
clear conclusion & reflection questions
Use graphs and equations to solve word problems
Use velocity time graphs to model motion and make predictions.
Graphs of velocity versus time during 4 seconds for identical objects are shown below.

Rank the magnitudes of the displacements of the objects during each of these intervals.
Use velocity time graphs to model motion and make predictions.
Use velocity vs. time graphs to solve Kinematic problems
For each of these cases, if any, is...at the indicated point?
Model motion graphically
Make predictions of motion from VT Graphs
The graphs below show the velocity versus time for boats traveling along a straight, narrow channel. The scales on both axes are the same for all of these graphs. In each graph, a point is marked with a dot.

Rank the magnitude of the velocity of the boat at the point indicated. Explain your reasoning.
Model and represent uniform motion graphical
The position-time graph shown represents the motion of two children who are moving along a narrow, straight hallway.
Model Uniform motion graphically
Represent changing velocity motion
Finish Fan Cart Data Collection & Analysis
__
Create and interpret velocity vs. time graphs
A red car (top) and a green car (bottom) are having a race. The green car has a
A red car (top) and a green car (bottom) are having a race. The green car has a
A red car (top) and a green car (bottom) are having a race. The green car has a
A red car (top) and a green car (bottom) are having a race. The green car has a head start (distance a). The two cars start at the same time. The red car must travel
A red car (on left) and a green car (on right) are spaced
Each graph below shows the position of an object as a function of time.

Interpret position vs. time graphs, pictorially, graphically, mathematically, and narratively
Practice with distance and displacement
Define average vs. instantaneous
Define position, distance, and displacement
Model consistent motion
Model motion of a toy car
Collect data on your buggies so that you can represent the motion (all aspescts) of both buggies on the same graph. Your final models should be able to predict the position of your buggy at specified times.
Does your Buggy move in a consistent manner? [Define consistent]
You will be given scenario card that describes the setup of your buggies
Establish Board Meeting Norms
Collect data on your buggies so that you can represent the motion (all aspescts) of both buggies on the same graph. Your final models should be able to predict the position of your buggy at specified times.
You will be given scenario card that describes the setup of your buggies
Learn quality data collection techniques
Engage in scientific discussion
Use graphs and data to answer questions
Introductions
Classroom Culture
(Yes this is the game Connections)
Determine whether the coefficient of restitution,
Title and objective of the experiment:
Theoretical background:
Hypotheses:
Is the coefficient of restitution constant for your ball? Do this by comparing drop height to bounce height for your assigned ball.
Is the coefficient of restitution constant for your ball? Do this by comparing drop height to bounce height for your assigned ball.
The coefficient of restitution (symbol:
ANSWER: B Fnet = ma Fpx - Ff - Fgx = ma Fpcostheta - Ff - mg sin theta = ma
background: black