Momentum and Its Conservation

Momentum and Its Conservation
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 1 Momentum and Its Conservation

†After Attendance (†EQ Sheet; Concept Map)
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †After Attendance (†EQ Sheet; Concept Map) Place HW on my desk †Pickup a new Essential Question Sheet Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart †Pull out your Conservation of Energy and Momentum Concept Map 2

Feed Back for Google Docs
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Feed Back for Google Docs Was anything confusing on google docs? Noteworthy Student Responses

Review of Materials Conservation of Energy Test
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Review of Materials Conservation of Energy Test

Chapter 7 Linear Momentum
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Chapter 7 Linear Momentum

Units of Chapter 7 Momentum and Its Relation to Force
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Units of Chapter 7 Momentum and Its Relation to Force Conservation of Momentum Collisions and Impulse Conservation of Energy and Momentum in Collisions Elastic Collisions in One Dimension

Units of Chapter 7 Inelastic Collisions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Units of Chapter 7 Inelastic Collisions Collisions in Two or Three Dimensions Center of Mass (CM) CM for the Human Body Center of Mass and Translational Motion

Equations to Know: Linear Momentum
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Equations to Know: Linear Momentum

Linear Momentum: Conservation of Momentum
EQ(s): How can the velocity of an object be quantified in terms of its momentum? INSERT Picture: Pushing a Car Start: What does it mean to gain momentum? 9

7-1 Momentum and Its Relation to Force
How can the velocity of an object be quantified in terms of its momentum? 7-1 Momentum and Its Relation to Force Momentum is a vector symbolized by the symbol p, and is defined as The rate of change of momentum is equal to the net force: This can be shown using Newton’s second law. (7-1) (7-2)

7-2 Conservation of Momentum
How can the velocity of an object be quantified in terms of its momentum? 7-2 Conservation of Momentum During a collision, measurements show that the total momentum does not change: (7-3)

How can the velocity of an object be quantified in terms of its momentum? 7-2 Conservation of Momentum More formally, the law of conservation of momentum states: The total momentum of an isolated system of objects remains constant.

How can the velocity of an object be quantified in terms of its momentum? 7-2 Conservation of Momentum Momentum conservation works for a rocket as long as we consider the rocket and its fuel to be one system, and account for the mass loss of the rocket.

Conservation of Momentum
How can the velocity of an object be quantified in terms of its momentum? Conservation of Momentum What happens to an object’s motion if it “breaks” apart? INSERT VIDEO CLIP

Conservation of Momentum
How can the velocity of an object be quantified in terms of its momentum? Conservation of Momentum Another application of conservation of momentum: INSERT VIDEO CLIP

Pasco Momentum in Collisions LAB
How can the velocity of an object be quantified in terms of its momentum? Pasco Momentum in Collisions LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. INSERT LAB PICTURE

How can the velocity of an object be quantified in terms of its momentum?
WebAssign/Lab Time Work on WebAssign Problems or the Pasco Momentum in Collisions Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 21

Summary INSERT PICTURE TBD Answer the Essential Questions.
How can the velocity of an object be quantified in terms of its momentum? Summary Answer the Essential Questions. Ticket out the Door: What is the formula for momentum? What is the formula that relates force and momentum? If two objects have the same momentum, are they going at the same speed? Explain. HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) WebAssign Problems MIDTERM INSERT PICTURE TBD 22

Collisions and Impulse
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 2 Collisions and Impulse

After Attendance Place HW on my desk Pickup and sign out your computer
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 24

Review of Materials Yesterday’s TOTD; WebAssign Questions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Review of Materials Yesterday’s TOTD; WebAssign Questions

Linear Momentum: Collisions and Impulse
EQ(s): How are momentum, impulse, and force related? INSERT Picture Falling Kid Start: Why do some of us naturally put our hands out to break our fall? 27

7-3 Collisions and Impulse
How are momentum, impulse, and force related? 7-3 Collisions and Impulse During a collision, objects are deformed due to the large forces involved. Since , we can write The definition of impulse: (7-5)

Pasco Momentum in Collisions and Impulse
How are momentum, impulse, and force related? Pasco Momentum in Collisions and Impulse How much deformation takes place during a collision? INSERT VIDEO CLIP: Time Warp - Mangini “Cymbal Hit”

How are momentum, impulse, and force related? 7-3 Collisions and Impulse Since the time of the collision is very short, we need not worry about the exact time dependence of the force, and can use the average force. This spike is known as the “delta” function.

Pasco Momentum in Collisions and Impulse
How are momentum, impulse, and force related? Pasco Momentum in Collisions and Impulse How could we calculate the collision time? INSERT VIDEO CLIP: Time Warp - Mangini “1206”

How are momentum, impulse, and force related? 7-3 Collisions and Impulse The impulse tells us that we can get the same change in momentum with a large force acting for a short time, or a small force acting for a longer time. This is why you should bend your knees when you land; why airbags work; and why landing on a pillow hurts less than landing on concrete.

Collisions and Impulse Demonstrations
How are momentum, impulse, and force related? Collisions and Impulse Demonstrations Happy and Sad Ball Meet the Board of Education: Can they knock over the block? Egg Throw: Can you break the egg?

How are momentum, impulse, and force related? Pasco Momentum in Collisions LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. INSERT LAB PICTURE

How are momentum, impulse, and force related?
WebAssign/Lab Time Work on WebAssign Problems , or the Pasco Momentum in Collisions Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 39

How are momentum, impulse, and force related?
Summary Answer the Essential Questions. Ticket out the Door: What is the formula for impulse? What happens to the change in momentum as the change in time increases? What happens to the force as the change in time increases? HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) WebAssign Problems INSERT PICTURE Falling Kid 40

Day 3 Elastic Collisions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 3 Elastic Collisions

Linear Momentum: Elastic Collisions
EQ(s): How are momentum and kinetic energy related? How does the total momentum in an isolated system change? INSERT Picture Start: What happens to the velocity of an object after it collides with another object? Also, how does a2 - b2 factor? 45

7-4 Conservation of Energy and Momentum in Collisions
How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-4 Conservation of Energy and Momentum in Collisions Momentum is conserved in all collisions. Collisions in which kinetic energy is conserved as well are called elastic collisions, and those in which it is not are called inelastic.

7-5 Elastic Collisions in One Dimension
How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Here we have two objects colliding elastically. We know the masses and the initial speeds. Since both momentum and kinetic energy are conserved, we can write two equations. This allows us to solve for the two unknown final speeds.

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension momentum kinetic energy Write down  this equation For a head-on elastic collision, the relative speed of the two objects after the collision has the same magnitude in the opposite direction as before the collision, no matter what the masses are.

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Solving for v'A:

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Solving for v'B: Recall that

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Analyzing the solution for v'A and v'B: What happens if vB is equal to zero? Write these equations down

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Analyzing the solution for v'A and v'B: What happens if vB is equal to zero and mA is much smaller than mB? (i.e. mA « mB; mA ≈ 0 compared to mB) Does ? Is this what we expect? Is it amazing? no.

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Analyzing the solution for v'A and v'B: What happens if vB is equal to zero and mA is much larger than mB? (i.e. mA » mB) Does ? Is this what we expect? Is it amazing? no.

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Analyzing the solution for v'A and v'B: What happens if vB is equal to zero and mA is equal to mB? (i.e. mA = mB) Does ? Is this what we expect? An example of this is Newton’s Pendulum Is it amazing? no.

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? 7-5 Elastic Collisions in One Dimension Analyzing the solution for v'A and v'B: What happens if mB is equal to “n” times mA and vA is equal to vB? (i.e. mB = n mA and vA = vB) Does ? Is this what we expect? This is a special case known as “Gutshall’s” Pendulum Is it amazing? no.

Short-Range Elastic Collision Demonstration
How are momentum and kinetic energy related? How does the total momentum in an isolated system change? Short-Range Elastic Collision Demonstration What will the final velocity of each ball be after the collision?

How are momentum and kinetic energy related? How does the total momentum in an isolated system change? Pasco Momentum in Collisions LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. INSERT LAB PICTURE

How are momentum and kinetic energy related?
How does the total momentum in an isolated system change? WebAssign/Lab Time Work on WebAssign Problems , or the Pasco Momentum in Collisions Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 58

Summary INSERT PICTURE Answer the Essential Questions.
How are momentum and kinetic energy related? How does the total momentum in an isolated system change? Summary Answer the Essential Questions. Ticket out the Door: What are two interesting things that you learned about elastic collisions during this class? (Note that any positive comments about the coolest general derivation shown to date, aka. Gutshall’s Pendulum derivation, is EXTRA CREDIT) HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) WebAssign Problems INSERT PICTURE 59

Day 4 Inelastic Collisions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 4 Inelastic Collisions

Linear Momentum: Inelastic Collisions
EQ(s): How are momentum and kinetic energy related? INSERT Lamborghini Crash Video Start: How are the final velocities of Jerry-the-Race-Car-Driver and the infamous telephone pole related after they collide? 64

How are momentum and kinetic energy related? 7-6 Inelastic Collisions
With inelastic collisions, some of the initial kinetic energy is lost to thermal or potential energy. It may also be gained during explosions, as there is the addition of chemical or nuclear energy. A completely inelastic collision is one where the objects stick together afterwards, so there is only one final velocity.

7-6 Coefficient of Restitution, e
How are momentum and kinetic energy related? 7-6 Coefficient of Restitution, e Recall that holds true for elastic collisions, but for completely inelastic collisions. Therefore it is useful to write as Where “e” is known as the coefficient of restitution. For elastic collisions, e = 1; For completely inelastic collisions, e = 0; And for inelastic collisions, 0 < e < 1.

How are momentum and kinetic energy related? 7-6 Coefficient of Restitution, e A simple method for measuring the coefficient of restitution for an object colliding with a very hard surface is to drop the object onto a heavy steel plate (vB = v'B ≈ 0). We can then use conservation of energy to derive a formula for e in terms of the original height h and the maximum height h' reached after one collision. 1 Note that v'A and vA are already in opposite directions, therefore

How are momentum and kinetic energy related? 7-6 Coefficient of Restitution, e A simple method for measuring the coefficient of restitution for an object colliding with a very hard surface is to drop the object onto a heavy steel plate (vB = v'B ≈ 0). We can then use conservation of energy to derive a formula for e in terms of the original height h and the maximum height h' reached after one collision. 3 2 Note that v'A and vA are already in opposite directions, therefore

Impulse and Inelastic Collisions
How are momentum and kinetic energy related? Impulse and Inelastic Collisions Could we calculate final velocity with their data? INSERT VIDEO CLIP

Completely Inelastic Collision Demonstration
How are momentum and kinetic energy related? Completely Inelastic Collision Demonstration What will the final velocity of the dual-ball combination be after the collision?

Impulse and Change in Momentum LAB
How are momentum and kinetic energy related? Impulse and Change in Momentum LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. Fig. 2 Equipment setup

WebAssign/Lab Time Work on WebAssign Problems , the Pasco Momentum in Collisions Lab, or the Pasco Impulse and Change in Momentum Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 74

Summary Answer the Essential Questions. Ticket out the Door: What is v'A in reference to v'B in a completely inelastic collision? What are the equations for e(v) and e(h)? What is the value of e for a completely inelastic collision? HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) Pasco Impulse and Change in Momentum Lab (Questions and Conclusions) WebAssign Problems 75

Collisions in Two Dimensions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 5 Collisions in Two Dimensions

Linear Momentum: 2-D Elastic Collisions
EQ(s): How are momentum and kinetic energy related? Start: Describe the motion of two balls after impact if one stationary ball is hit off-center by another ball? mB 80

7-7 Collisions in Two or Three Dimensions
How are momentum and kinetic energy related? 7-7 Collisions in Two or Three Dimensions Conservation of energy and momentum can also be used to analyze collisions in two or three dimensions, but unless the situation is very simple, the math quickly becomes unwieldy. Here, a moving object collides with an object initially at rest. Knowing the masses and initial velocities is not enough; we need to know the angles as well in order to find the final velocities.

How are momentum and kinetic energy related? 7-7 Collisions in Two or Three Dimensions Problem solving: Choose the system. If it is complex, subsystems may be chosen where one or more conservation laws apply. Is there an external force? If so, is the collision time short enough that you can ignore it? Draw diagrams of the initial and final situations, with momentum vectors labeled. Choose a coordinate system.

How are momentum and kinetic energy related? 7-7 Collisions in Two or Three Dimensions 5. Apply momentum conservation; there will be one equation for each dimension. 6. If the collision is elastic, apply conservation of kinetic energy as well. 7. Solve. 8. Check units and magnitudes of result.

Elastic Collisions in 2-D Equations
How are momentum and kinetic energy related? Elastic Collisions in 2-D Equations Conservation of Momentum in the x-direction: Conservation of Momentum in the y-direction: 45º If it is an elastic collision, Conservation of Kinetic Energy may also be used:

TITLE (Thought Question)? INSERT VIDEO CLIP Youtube address

How are momentum and kinetic energy related? Impulse and Change in Momentum LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. Fig. 2 Equipment setup

WebAssign/Lab Time Work on WebAssign Problems , the Pasco Momentum in Collisions Lab, or the Pasco Impulse and Change in Momentum Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s) = 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 87

Summary Answer the Essential Questions. Ticket out the Door: During a 2-D collision, what is the p'y What trigonometric function is used to calculate the v'Ay? What trigonometric function is used to calculate the v'By? HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) Pasco Impulse and Change in Momentum Lab (Questions and Conclusions) WebAssign Problems INSERT PICTURE 88

Center of Mass; †CM for the Human Body; †CM and Translational Motion
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 6 Center of Mass; †CM for the Human Body; †CM and Translational Motion

Linear Momentum: Center of Mass
EQ(s): How are the center of mass (CM) and momentum related? Start: Why do high jumpers utilize the flipperdipper flop technique to maximize their jump height? 93

How are the center of mass (CM) and momentum related?
In (a), the diver’s motion is pure translation; in (b) it is translation plus rotation. There is one point that moves in the same path a particle would take if subjected to the same force as the diver. This point is called the center of mass (CM).

The general motion of an object can be considered as the sum of the translational motion of the CM, plus rotational, vibrational, or other forms of motion about the CM.

For two particles, the center of mass lies closer to the one with the most mass: where M is the total mass.

The center of gravity is the point where the gravitational force can be considered to act. It is the same as the center of mass as long as the gravitational force does not vary among different parts of the object. (i.e. Far away from a blackhole)

The center of gravity can be found experimentally by suspending an object from different points. The CM need not be within the actual object – a doughnut’s CM is in the center of the hole.

7-9 CM for the Human Body The x’s in the small diagram mark the CM of the listed body segments.

7-9 CM for the Human Body The location of the center of mass of the leg (circled) will depend on the position of the leg.

7-9 CM for the Human Body High jumpers have developed a technique where their CM actually passes under the bar as they go over it. This allows them to clear higher bars.

Center of Gravity and the Limbo Bar
How are the center of mass (CM) and momentum related? Center of Gravity and the Limbo Bar Why do people contort their bodies to travel under the bar? INSERT VIDEO CLIP The LIMBO Youtube address

7-10 Center of Mass and Translational Motion
How are the center of mass (CM) and momentum related? 7-10 Center of Mass and Translational Motion IMPORTANT: The total momentum of a system of particles is equal to the product of the total mass and the velocity of the center of mass. The sum of all the forces acting on a system is equal to the total mass of the system multiplied by the acceleration of the center of mass: (7-11)

7-10 Center of Mass and Translational Motion
How are the center of mass (CM) and momentum related? 7-10 Center of Mass and Translational Motion This is particularly useful in the analysis of separations and explosions; the center of mass (which may not correspond to the position of any particle) continues to move according to the net force.

Center of Mass and the Space Shuttle
How are the center of mass (CM) and momentum related? Center of Mass and the Space Shuttle How does the separation of the rocket boosters affect the motion of the space shuttle? INSERT VIDEO CLIP Space Shuttle Rocket Boosters Separating from Space Shuttle Youtube address

How are the center of mass (CM) and momentum related? Impulse and Change in Momentum LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. Fig. 2 Equipment setup

WebAssign/Lab Time Work on WebAssign Problems , the Pasco Momentum in Collisions Lab, or the Pasco Impulse and Change in Momentum Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 107

Summary Answer the Essential Questions. Ticket out the Door: What is the equation that allows us to calculate the location of the center of mass? What happens to the motion of a projectile about it’s center of mass if the object breaks apart? Can pushing off of a freefalling elevator’s floor before impact actually decrease your maximum impact velocity? HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) Pasco Impulse and Change in Momentum Lab (Questions and Conclusions) WebAssign Problems INSERT PICTURE 108

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 7 Work Day #1

Linear Momentum Start: GoogleDocs Warm-Up Activity INSERT Picture
UEQ(s): How does an object’s mass distribution, interaction with other objects and force at a distance influence the object’s motion? INSERT Picture Start: GoogleDocs Warm-Up Activity 113

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Impulse and Change in Momentum LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. Fig. 2 Equipment setup

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? WebAssign/Lab Time Work on WebAssign Problems , the Pasco Momentum in Collisions Lab, or the Pasco Impulse and Change in Momentum Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 115

Summary INSERT PICTURE Answer the Essential Questions. 3-2-1: HW:
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Summary Answer the Essential Questions. 3-2-1: 3 Things you know well for the test 2 Questions that you still have for the test 1 Thing you enjoyed from the Linear Momentum Unit HW: Pasco Momentum in Collisions Lab (Questions and Conclusions) Pasco Impulse and Change in Momentum Lab (Questions and Conclusions) WebAssign Problems INSERT PICTURE 116

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 8 Summary / Work Day #2

†After Attendance (†Concept Map)
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †After Attendance (†Concept Map) Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart †Pull out your Conservation of Energy and Momentum Concept Map 118

Linear Momentum Start: GoogleDocs Warm-Up Activity INSERT Picture
UEQ(s): How does an object’s mass distribution, interaction with other objects and force at a distance influence the object’s motion? INSERT Picture Start: GoogleDocs Warm-Up Activity 121

Summary of Chapter 7 Momentum of an object: Newton’s second law:
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Summary of Chapter 7 Momentum of an object: Newton’s second law: Total momentum of an isolated system of objects is conserved. During a collision, the colliding objects can be considered to be an isolated system even if external forces exist, as long as they are not too large. Momentum will therefore be conserved during collisions.

Summary of Chapter 7, cont.
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Summary of Chapter 7, cont. In an elastic collision, total kinetic energy is also conserved. In an inelastic collision, some kinetic energy is lost. In a completely inelastic collision, the two objects stick together after the collision. The center of mass of a system is the point at which external forces can be considered to act.

†Linear Momentum Essential Questions
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †Linear Momentum Essential Questions How can the velocity of an object be quantified in terms of its momentum? How are momentum, impulse, and force related? How are momentum and kinetic energy related? How are the center of mass (CM) and momentum related? How does the total momentum in an isolated system change? †Answer these before the test.

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Impulse and Change in Momentum LAB Work in groups of no more than 4 people. Return all supplies to the counter/cart. Fig. 2 Equipment setup

†EQ/WebAssign/Lab Time
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †EQ/WebAssign/Lab Time †Answer the Essential Questions Work on WebAssign Problems , the Pasco Momentum in Collisions Lab, or the Pasco Impulse and Change in Momentum Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 126

Summary Ticket out the Door: HW (Write down in your Student Planner):
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Summary Ticket out the Door: Write down two questions and their answer for the test tomorrow and turn it in. One conceptual problem One mathematical problem HW (Write down in your Student Planner): Answer the Essential Questions Pasco Momentum in Collisions Lab (Questions and Conclusions) Pasco Impulse and Change in Momentum Lab (Questions and Conclusions) WebAssign Problems WebAssign Final Copy 127

Day 10: Test Linear Momentum
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Day 10: Test Linear Momentum

UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †After Attendance Place HW on my desk (in Reverse Alphabetical Order): WebAssign Final Copy Essential Questions Laboratory Assignment(s) Pickup the following: Chapter 8 Vocabulary Acceleration Scantron Sheet Fill in the following on the scantron sheet front: Name: Write your name on it!! Subject: PIM Test: MOM Date: S10 Period: Block 2 129

†Linear Momentum Test Test Corrections
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? †Linear Momentum Test Do not write on Part I (the scantron questions) Put your name on Part II and complete it Verify any corrections below that have made before submitting your test. Complete the Chapter 8 Vocabulary Acceleration Test Corrections Question

Summary Submit your Linear Momentum Test HW:
UEQ: How does an object’s mass distribution, interactions with other objects, and force at a distance influence the object’s motion? Summary Submit your Linear Momentum Test HW: Chapter 8 Vocabulary Acceleration 131

Momentum and Its Conservation

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