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8th Grade
Forces
2015-10-27 www.njctl.org
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Forces and Motion
· Motion
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· Graphs of Motion · Newton's Laws of Motion · Newton's 3rd Law & Momentum · Forces
Forces and Motion Click on the topic to go to that section Motion - - PDF document
Slide 1 / 159 Slide 2 / 159 8th Grade Forces 2015-10-27 www.njctl.org Slide 3 / 159 Forces and Motion Click on the topic to go to that section Motion Graphs of Motion Forces Newton's Laws of Motion Newton's 3rd Law &
2015-10-27 www.njctl.org
· Motion
Click on the topic to go to that section
· Graphs of Motion · Newton's Laws of Motion · Newton's 3rd Law & Momentum · Forces
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With a partner, come up with a scientific explanation of what it means if an object is in
An object is in motion if it changes position in relation to a certain place, called a reference point. Reference points are places or objects used to determine the motion of an
It is extremely important to choose reference points carefully.
Motion is relative as it is dependent upon the reference point. Are you in motion right now? Think about it... Are you in motion compared to your desk? Are you in motion compared to the sun?
Speed is one of the many ways we measure motion. Speed is a measure of the distance traveled per unit of time. That means you can find the speed of any object that is in motion!
Speed = Distance ⁄ Time
We can rearrange the letters in the speed equation and solve for any of the other 2 pieces of information.
Discussion time! · What are some possible units to measure speed? Remember that speed= distance/time! · How do you think speed is measured when driving in a car? · How would you measure speed of an engine? For reference, an animation of an internal combustion engine is shown below.
The SI unit for distance is meters (m) and for time is seconds (s). Given these units, what will be the SI unit for speed? (Hint: recall the speed equation speed= distance/time)
The SI unit for distance is meters (m) and for time is seconds (s). Given these units, what will be the SI unit for speed? (Hint: recall the speed equation speed= distance/time)
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Answer meters/second which is usually shortened to m/s
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Manipulate the speed of each car, solve for time, and predict which car will win!
When we talk about speed, it is important to know that there is a difference between instantaneous speed and average speed. Average speed can be calculated by dividing the total distance by the total time. This is what is usually calculated by runners in a race. Instantaneous speed is the speed of an object at any moment in time (an instant of time). Can you think of an example where you would use instantaneous time?
It might take 3 hours to travel 300 km in a car. What would the average speed of the car be? Calculate it now. Does that mean the car was going that speed for the whole 3 hours
When you go on a trip in the car, do you go the same speed the whole time? Talk to a partner about this.
Have you ever run a mile? Do you think you ran at the exact same speed the entire mile? Think about what runners do at the very end of a race.
When you ride on the bus to school, does the bus driver travel at the same speed the entire trip? School buses and other vehicles have speedometers that measure the speed of the vehicle at a specific moment in time. Do speedometers measure average speed or instantaneous speed?
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Velocity is another way to measure motion. Simply put, velocity is the speed of an object with a direction included. Runner's speed: 10 km/hr Runner's velocity: 10 km/hr to the East What do you notice about the units for speed and velocity?
Have you ever been in an airplane? Would would be the consequence of a pilot only knowing the speed of other nearby planes? Tornadoes travel at about 170 km/h. Why is knowing the velocity of a tornado important?
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Graphs can be used to show motion and can be used to determine relationships! When graphing data, position should be on the y-axis and time on the x-axis. Drag and drop the variables onto the correct axis on the graph below. Position Time
Graphs can be used to show motion and can be used to determine relationships! When graphing data, position should be on the y-axis and time on the x-axis. Drag and drop the variables onto the correct axis on the graph below. Position Time
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Answer Position Time
Use the graph below to calculate speed at 1, 2, and 3 seconds. Do you notice a pattern?
2 m/ 1s = 2 m/s 4 m/ 2s = 2 m/s 6 m/ 3s = 2 m/s The speed is 2 m/s at each of the three seconds! In other words, the speed is constant.
When interpreting a graph, it is important to look for relationships between variables. These relationships can be strong, weak, or not present at all. The graph below shows a strong relationship between position and
When interpreting a graph, it is important to look for relationships between variables. These relationships can be strong, weak, or not present at all. The graph below shows a strong relationship between position and
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Answer As the time increases at a constant rate, so does the position.
A weak relationship is when significant changes in one variable cause minimal changes in the other variable. Is there any pattern in the graph below? Circle the patterns.
When there is no relationship between the variables, there will not be a pattern present. Is there any pattern in the graph below?
Position versus time graphs can be used to find speed and compare speeds.When we talk about the slope of a line, we are talking about how steep a line is. Look at the skier to the right. He is on a very difficult trail. Would an easier trail be steeper or more flat? How would the slopes of these two trails compare?
In a position versus time graph, the y-axis is the position and the x-axis is the time. Recall that the relationship between position and time is speed. So when we are looking at the slope, we are looking at the speed . The steeper the slope of the line on a position versus time graph, the greater the speed! The slope of the black line gives us the speed of the bicycler.
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Walker #2 because the slope is steeper. This walker covered the same distance in less time than walker #1.
Relate the shape of the graph (slopes!) to the man's motion.
Click on the image to the left to launch the simulation. You will need to download it to be able to use it. Click on the CHARTS tab at the top. Minimize the velocity graph and the acceleration graph by clicking on the RED dash on each graph. KEEP POSITION! CLICK PLAY Drag the man to the RIGHT at a constant speed, STOP, and finally drag the man at a constant speed Left back to the starting point (zero).
Constant speed is when an object's speed does not change; however, most objects do not travel at a constant speed. Acceleration is a way to measure changing motion. Do you walk at the exact same speed from class to class? What if you are late for class? Are you ever accelerating when you go to class? Can you define acceleration?
Acceleration occurs when there is a change in velocity. Remember, velocity is speed with direction. So acceleration occurs any time there is an increase in speed, a decrease in speed, or a change in direction.
Acceleration is a measure of the change in velocity per unit of time. Here is the equation for acceleration.
t
acceleration = (final velocity-initial velocity) time
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The school bus picks you up at the bus stop and takes 60 seconds to accelerate to 120 km/h. What is the acceleration of the school bus?
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The school bus picks you up at the bus stop and takes 60 seconds to accelerate to 120 km/h. What is the acceleration of the school bus?
t
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a = (120 km/h - 0 km/h) 60 s a = 2 km/h per second
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a = (60 m/s - 25 m/s) 5 s a = 7 m/s/s OR 7m/s2
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a = (12 m/s - 0 m/s) 10 s a = 1.2m/s2
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a = (45m/s - 65m/s) 5 s a = -4m/s2 or decelerated 4m/s2
If the speed and direction of an object are constant, then the acceleration is zero. Look at the car's speed at 20s, 60s, and 100s. Is the car accelerating?
If the speed and direction of an object are constant, then the acceleration is zero. Look at the car's speed at 20s, 60s, and 100s. Is the car accelerating?
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Answer Only if the car is changing
the car does not accelerate.
Acceleration is positive when speed is increasing. Negative acceleration (deceleration) is when speed is decreasing. How could you describe the slopes of each of these lines?
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Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
Speed (m/s) Time (s)
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We will us a constant velocity vehicle to collect data and graph our results. The graph will help us determine the average speed.
The slope of a position versus time graph can also show acceleration. If the slope curves and gets steeper, then positive acceleration is occurring. If the slope curves and becomes less steep, then negative acceleration is occurring.
Click on the image to download the simulation. Click on the CHARTS tab. Type in 1 m/s
2 into the acceleration
value and hit play. Sketch the shape of the distance vs. time graph: Sketch the shape of the velocity vs. time graph:
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In this lab you will record the time it takes for a car to go different distances down an inclined plane. The data will be graphed and then you will analyze the results.
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Forces are ________ or ______ in a given direction. Forces affect how objects move.
At your table, make a list of ways forces can affect objects. There are many ways. Write a few of these ways below.
cause
Since forces can cause changes in the speed or direction of an
forces cause acceleration!
Forces are measured in newtons (N). You probably measure yourself on a scale in pounds. One pound is equal to 4.448 newtons. Just like velocity, force has direction. When forces are demonstrated both magnitude and direction should be shown.
What is the magnitude of the force shown above? How about the direction?
If you and a friend both push with the same strength on each side of a table, will it move? Two or more opposite forces acting on an object are considered balanced if their effects cancel each other out. Balanced forces do not cause a change in an object's motion.
The box to the right is at rest and will remain at rest since the
If the effects of the forces don't cancel each other out (one force is stronger than others), the forces are unbalanced forces. Unbalanced forces do cause a change in motion; speed and/or direction. Think about Tug-Of-War. How does one side win?
Two ways to interpret this diagram are to say: there is a 15N force to the right and an 8N force to the left OR we can say there is a +15N force and a -8N force. What does the negative on the -8N tell us?
The box was initially at rest. Since the forces acting on the box are unbalanced, the box will start moving. Does the box accelerate? Which way do you think the box will move and why?
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Forces are present all around us, but can not usually be seen. Friction is a force that resists motion and we experience daily. When you run, walk, sit on the couch, brush your hair, and write you experience friction. You are experiencing friction right now!
The force of friction is caused by microscopic particles touching each
Friction is affected by how hard the surfaces push together and the types of surfaces involved.
Click here to see the force of friction clip
There are many types of friction.
Static friction acts on objects that are not moving. Have you ever wondered why it is so hard to start moving a heavy object like a dresser or couch, but then once it starts moving it is easier? That is because you have to overcome the force of static friction! Static friction holds the couch in place and keeps it from moving.
Sliding friction occurs when objects slide over each other. Sliding friction is easier to overcome than static friction. That is why the couch is easier to move once it starts sliding!
Click here to see sliding friction in action.
Sliding friction is also known as kinetic friction.
Fluid friction occurs when objects move through a fluid. Remember, air is a fluid, so you continuously experience fluid friction!
Click here to see the effects of fluid friction.
Rolling friction exists when objects roll across surfaces. With a partner, make a list of other examples
There are many examples in sports.
The force of friction is measured in Newtons like all other forces. When you are trying to determine where to put the friction force, just remember that friction acts opposite to motion!
stationary box force applied by person pushing box static friction force
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TRUE
Forces are present all around us and always act in pairs, so we usually experience more than one force. Gravity is a force that pulls objects towards each other. How does gravity act on objects here on Earth? Use the picture to the right to help you with your answer.
The Law of Universal Gravitation tells us that gravity acts between all objects in the universe. This means that without exception, any two objects in the universe attract each other!
Gravity is affected by both mass and distance. The greater the distance between two objects, the less the gravitational force between them. The greater the mass of the object, the greater the object's gravitational force. You have learned about mass in the past. Can you define mass? Which of these examples has more gravity? Why?
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What is weight? You have also learned the difference between mass and weight in the
Think about astronauts on the International Space Station. What do you know about their masses and weights?
Weight is a measure of the gravitational force exerted on an object. Weight varies depending on gravitational force, but mass does not. Weight = mass x gravity Our moon has a gravity that is
What would that do to your weight on the moon? Would your mass change on the moon?
"g" is the acceleration due to gravity. On Earth, our "g" is approximately 9.8 m/s2 . On other planets, acceleration due to gravity will vary depending
Jupiter g = 26.1 m/s2 Earth's Moon g = 1.67 m/s2
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29 The larger the planet, the larger the __________.
29 The larger the planet, the larger the __________.
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Galileo showed that falling objects accelerate equally no matter what their mass is. This is strictly true when gravity is the only force acting on a falling object and is known as free fall. When an object is in free fall, it accelerates at 9.8 m/s2 10kg If these two stones are dropped from the same height at the same time, which hits the ground first? 1kg
Click here to see a bowling ball and golf ball being dropped
Galileo showed that falling objects accelerate equally no matter what their mass is. This is strictly true when gravity is the only force acting on a falling object and is known as free fall. When an object is in free fall, it accelerates at 9.8 m/s2 10kg If these two stones are dropped from the same height at the same time, which hits the ground first? 1kg
Click here to see a bowling ball and golf ball being dropped
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Answer If these falling rocks only had gravity acting on them (in free fall), they would both fall at the same rate of 9.8 m/s2 . They would both hit the ground at the same time!
The following video shows a feather and a ball bearing being dropped from a small height. Which simulation showed the objects in free fall? Critical thinking: What was happening in the simulation that did not illustrate free fall?
Click here to see a feather and a ball bearing being dropped.
The following video shows a feather and a ball bearing being dropped from a small height. Which simulation showed the objects in free fall? Critical thinking: What was happening in the simulation that did not illustrate free fall?
Click here to see a feather and a ball bearing being dropped.
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Answer In the first simulation, the objects fell at different rates. In the second simulation, the objects fell at the same rate. The second simulation illustrates free fall. Critical thinking: Move on to the next slide to learn the answer to this question!
Try this: Crumple up two pieces of paper individually and drop them both from the same height at the same time. Which hits the ground first? Now drop a crumpled piece of a paper and a non-crumpled piece of paper in the same way. What's the difference? Objects are not always truly in free fall because they experience air resistance. Air resistance is a fluid friction experienced by falling objects. When objects experience air resistance, they don't fall at a rate of 9.8 m/s2.
Click here to see a feather and a hammer being dropped
with no air resistance?
The flat piece of paper fell at a slower rate because it had more surface area. This greater surface area resulted in the paper experiencing air resistance. For the crumpled paper, air resistance was probably very tiny and thus could be ignored. The crumpled paper was essentially in free fall. People use parachutes when they jump out of planes. Why?
As you know, many forces are acting on us and other objects. To determine the total force acting on an object, the forces are added and subtracted as appropriate to find the net force. When several forces are acting on the same object, the net force might be zero...
5 N
If the net force on an object is zero, then it is in equilibrium. When an object is at rest, the net force is zero.
If the net force is not equal to zero, then there is a change in the motion
example below?
5 N
What direction is this box going to move?
5 N
In this case, the object will accelerate towards the left because the NET FORCE is toward the left.
On Earth, gravity and friction are two of the unbalanced forces that frequently change an object's motion.
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How does the amount of friction between a shoe and a surface compare for different shoes? Which shoes would be best for playing basketball? Which would be best for bowling? These questions will be answered in this lab.
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Aristotle, a Greek philosopher, and Galileo Galilei, an Italian astronomer, may have been two of the first scientists to try to explain gravity and motion.
In the late 1600s, Sir Isaac Newton used Galileo's ideas to create three basic laws of motion.
Sir Isaac Newton contributed to advances in physics, mathematics, and astronomy.
Newton may be one of the greatest scientists in
motion he created are three of the most used natural laws in science. These laws help us to make sense of the world around us.
Newton was inspired by the apple falling from the tree and asked himself if gravity might also be the force holding the moon in orbit. Newton found that gravity plays a role in other orbital motions as well!
The first law of motion tells us that an object at rest stays at rest, and an object moving at a constant velocity will continue moving at a constant velocity, unless acted on by an unbalanced force. On Earth, gravity and friction are two of the unbalanced forces that frequently change an
The first law of motion is sometimes referred to as the law of inertia.
Inertia is the tendency of an object to resist a change in motion.
The first law basically tells us that motion will not change without a net force. So, if an object stops moving or starts moving, you know there is a net force. If there is a net force, then the forces are
forces cause changes in motion! Apply Newton's First Law of Motion to the baseball player sliding into second
him?
Click on the image to the left to launch simulation. Click on the motion tab, check speed to add speedometer, and place a person on the skateboard. Apply a force to the object and look at the speedometer. What happened? Stop applying the force. What happens?
Have you ever wished that you could just tell your clothing to move itself to the closet? Unfortunately, we know that objects don't move on their own. An unbalanced force is required to make an object change its state
Imagine you need to move a few pieces of furniture in your
it or your dresser when its empty?
Be sure to use the term inertia in your answer. Based on your answer, how are inertia and mass of an
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A Tennis Ball or a Bowling Ball? Why?
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Newton's second law states that acceleration depends on both force and mass. It supports the idea that unbalanced forces cause acceleration. Remember, acceleration is an increase in speed, a decrease in speed,
Unbalanced forces cause acceleration. There is a direct relationship between force and acceleration. Mass and acceleration are inversely proportional. Forces that cause a net force on an
unbalanced. As force increases, acceleration increases. As mass increases, acceleration decreases.
Unbalanced forces cause acceleration, so unbalanced forces cause an increase in speed, a decrease in speed, and/or a change in direction. The second law relates force, mass, and acceleration. Force = mass x acceleration
We can rearrange this to solve for the other variables. You do not need to know how to rearrange it, but you do have to be able to select the right formula for solving your problem.
The second law states that if force is increased, acceleration will also increase. If you want to shoot a very fast penalty kick into the soccer net, how do you kick it?
The second law also tells us that the greater the mass, the less the acceleration (if the force is constant). How hard is it to pull one person in the wagon? What happens when you add another person to the wagon? Have you ever pulled your friends in a wagon?
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Click on the image to the left to download the Simulation. Click the Acceleration Lab Tab Check show Forces, masses, acceleration, and turn friction to none. Place 1 crate onto the surface and apply a 500 N force, note the acceleration. Stack 2 crates onto the surface and apply a 500 N force,note the acceleration. What was the effect of adding mass to the simulation on the resulting acceleration produced?
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Newton's third law of motion, unlike the first and second, pertains to forces between two
When you kick a soccer ball, do you feel the force of the ball against your foot? Does the ball "feel" the force
Newton's third law explains this occurrence.
Have you ever jumped off a skateboard? What happens to the board when you jump off? Draw an arrow below to show what direction the board will go.
This is Newton's third law of motion at work! You applied a force to the board and the board applied an equal (in magnitude) and
We call these Action-Reaction Forces.
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Forces always exist in pairs! Newton's third law defines these action and reaction forces.
Click here to see how Newton's Third Law applies to the physics of a rocket.
As you kick the soccer ball, you apply an action force to the ball, and the ball applies a reaction force on your foot. These forces are equal in strength and opposite in direction. Why does the ball accelerate more quickly than you and your foot?
As you kick the soccer ball, you apply an action force to the ball, and the ball applies a reaction force on your foot. These forces are equal in strength and opposite in direction. Why does the ball accelerate more quickly than you and your foot?
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Answer Because the ball has less mass! Remember Newton's 1st and 2nd law!
The third law states that for every action force, there is an equal, but opposite reaction force.
a c t i
r e a c t i
This means that if one object applies a force to another object, then the
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According to Newton's 3rd law, the cart pulls on the man just as hard as the man pulls on the cart. Do these forces cancel each
According to Newton's 3rd law, the cart pulls on the man just as hard as the man pulls on the cart. Do these forces cancel each
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Answer No, they are not acting on the same
different object.
Action: The man applies force to the cart that moves the cart forward. Reaction: The cart applies an equal and opposite force on the man. Each force in the pair acts on a different object!
If a force occurs, there are action reaction forces! Action reaction forces: can cause changes in motion are equal in strength but
direction act on different
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Newton's third law tells us that action reaction forces are equal and
equal. After watching the video, discuss the following: · what was the action reaction pair? · did both carts accelerate the same? Why or why not? · how is this related to Newton's 1st and 2nd law of motion?
Click here to see how equal action reaction pairs cause different motions.
Remember Newton's law of inertia. Objects with more mass (more inertia) have more reluctance to change their motion and vice versa. Also recall Newton's 2nd law. Objects with more mass accelerate less than objects with less mass under the same force (and vice versa). Both carts experience the same strength in force (Newton's 3rd law). But the cart on the right experiences a greater change in motion because it has less mass. Why?
If we understand Newton's third law and momentum, we can predict how the motion of colliding objects will change. Momentum is the result of the mass of the object times the object's velocity. momentum (kg-m/s) = mass (kg) x velocity (m/s)
Find the momentum of a skateboarder with a mass of 50 kg traveling at a velocity of 4 m/s west.
Find the momentum of a skateboarder with a mass of 50 kg traveling at a velocity of 4 m/s west.
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Answer p = mv p = (50kg) (4 m/s) p = 200 kg m/s west If you know the direction of the velocity, you also know the direction of the momentum!
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Momentum is conserved (remains the same) during an interaction as long as the objects are not affected by outside forces. This means that the total momentum of objects prior to hitting each other will equal the total momentum of the objects after the interaction. Any momentum lost by one object is gained by the other!
Click on the image to the left to launch and play the simulation. Make each object the same mass by moving sliders (1 kg each works best). Click show values. Compare the total momentum of the balls added before and after the collision. What happens to the total amount of momentum before and after the collision?
Fill in the missing values. Remember that the law of conservation tells us that the total momentum before a collision is equal to the total momentum after a collision. Car Mass
(kg) Velocity (m/s) Momentum (kg m/s) 1 1000 6 2 2000 Car Mass (kg) Velocity (m/s) Momentum (kg m/s) 1 1000
2 2000
Total Momentum: ___________ Total Momentum: ___________ HINT: p=mv can be rearranged to v=p/m and a negative momentum means the object moves left!
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Click on the picture to go to the website for the lab.
Rotate from station to station in the classroom. Follow the directions that correspond with your station. Make observations, record your results, and answer the questions for each station. Station 1: Inertia is Nuts! Station 2: Balloon Blow Out Station 3: Spinning Penny Station 4: Water Whirl Station 5: Dominoes Station 6: Yay for Seatbelts and Airbags Station 7: Free Fallin' Station 8: Rolling Chair
A7N8X 2012, 4-Stroke Engine, gif, viewed 29 June 2015, <https://commons.wikimedia.org/wiki/File:4-Stroke-Engine.gif>. Luke Ma 2012, Pull Carts Kyoto, Japan, jpg, viewed 7 July 2015, <https://commons.wikimedia.org/wiki/File:Pull_carts,_Kyoto,_Japan_(8587844087).jpg>