The document discusses momentum and its conservation during collisions. It defines impulse as the product of an average force and the time interval over which it acts. The impulse-momentum theorem states that the impulse on an object equals its change in momentum. The conservation of momentum principle states that the total momentum of an isolated system remains constant, even after internal interactions and collisions within the system.
the relation between force and motion id described in Newtons three laws of motion. These laws are very simple statements and enable us to describe the future (or past) motion of body if we know the forces acting on it.
the relation between force and motion id described in Newtons three laws of motion. These laws are very simple statements and enable us to describe the future (or past) motion of body if we know the forces acting on it.
This is a summary of the topic "Energy, work and power" in the GCE O levels subject: Physics. Students taking either the combined science (chemistry/physics) or pure Physics will find this useful. These slides are prepared according to the learning outcomes required by the examinations board.
Presentation on Friction (Static, Kinetic and Co-efficient of Friction)Md. Sirajul Islam
Friction is an important term, By this presentation I have learned lot about friction, types of friction, major types, application of friction, static and kinetic friction, law of friction, Co efficient of frictions.
I think this all information help you all to understand friction. This information is given by lot of legal sites.
This is a summary of the topic "Energy, work and power" in the GCE O levels subject: Physics. Students taking either the combined science (chemistry/physics) or pure Physics will find this useful. These slides are prepared according to the learning outcomes required by the examinations board.
Presentation on Friction (Static, Kinetic and Co-efficient of Friction)Md. Sirajul Islam
Friction is an important term, By this presentation I have learned lot about friction, types of friction, major types, application of friction, static and kinetic friction, law of friction, Co efficient of frictions.
I think this all information help you all to understand friction. This information is given by lot of legal sites.
In the realm of physics, the study of motion and the forces that cause it forms the foundation for understanding the physical world. Class 9 Science introduces students to the fundamental concepts of force and the laws of motion, a crucial chapter that lays the groundwork for more advanced studies in physics. Let's delve into these concepts to gain a comprehensive understanding.
Euro Cup fans worldwide can book Euro 2024 Tickets from our online platform www.worldwideticketsandhospitality. Fans can book Slovenia Vs Denmark Tickets on our website at discounted prices.
Spain vs Croatia Date, venue and match preview ahead of Euro Cup clash as Mod...Eticketing.co
We offer Euro Cup Tickets to admirers who can get Spain vs Croatia Tickets through our trusted online ticketing marketplace. Eticketing.co is the most reliable source for booking Euro Cup Final Tickets. Sign up for the latest Euro Cup Germany Ticket alert.
Narrated Business Proposal for the Philadelphia Eaglescamrynascott12
Slide 1:
Welcome, and thank you for joining me today. We will explore a strategic proposal to enhance parking and traffic management at Lincoln Financial Field, aiming to improve the overall fan experience and operational efficiency. This comprehensive plan addresses existing challenges and leverages innovative solutions to create a smoother and more enjoyable experience for our fans.
Slide 2:
Picture this: It’s a crisp fall afternoon, driving towards Lincoln Financial Field. The atmosphere is electric—tailgaters grilling, fans in Eagles jerseys creating a sea of green and white. The air buzzes with camaraderie and anticipation. You park, join the throng, and make your way to your seat. The stadium roars as the Eagles take the field, sending chills down your spine. Each play is a thrilling dance of strategy and skill. This is what being an Eagles fan is all about—the joy, the pride, and the shared experience.
Slide 3:
But now, the day is marred by frustration. The excitement wanes as you struggle to find a parking spot. The congestion is overwhelming, and tempers flare. The delays mean you miss the pre-game excitement, the tailgate camaraderie, and even the opening kick-off. After the game, the joy of victory or the shared solace of defeat is overshadowed by the stress of navigating out of the parking lot. The gridlock, honking horns, and endless waiting drain the energy and joy from what should have been an unforgettable experience.
Our proposal aims to eliminate these frustrations, ensuring that from arrival to departure, your experience is extraordinary. Efficient parking and smooth traffic flow are key to maintaining the high spirits and excitement that make game days special.
Slide 4:
The Philadelphia Eagles are not just a premier NFL team; they are an integral part of the community, hosting games, concerts, and various events at Lincoln Financial Field. Our state-of-the-art stadium is designed to provide a world-class experience for every attendee. Whether it's the thrill of game day, the excitement of a live concert, or the camaraderie of community events, we pride ourselves on delivering a fan-first experience and maintaining operational excellence across all our activities. Our commitment to our fans and community is unwavering, and we continuously strive to enhance every aspect of their experience, ensuring they leave with unforgettable memories.
Slide 5:
Recent trends show an increasing demand for efficient event logistics. Our customer feedback has consistently highlighted frustrations with parking and traffic. Surveys indicate that a significant number of fans are dissatisfied with the current parking situation. Comparisons with other venues like Citizens Bank Park and Wells Fargo Center reveal that we lag in terms of parking efficiency and convenience. These insights underscore the urgent need for innovation to meet and exceed fan expectations.
Slide 6:
As we delve into the intricacies of our operations, one glaring issue emer
Euro Cup international supporters can book Euro 2024 Tickets from our online platform Worldwideticketsandhospitality.com. Followers can book Portugal Vs Czechia Tickets on our website at sale prices.
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...Eticketing.co
Euro 2024 fans worldwide can book Belgium vs Slovakia Tickets from our online platform www.eticketing.co. Fans can book Euro Cup Germany Tickets on our website at discounted prices.
Euro Cup fans worldwide can book Euro 2024 Tickets from our online platform www.worldwideticketsandhospitality. Fans can book Belgium Vs Romania Tickets on our website at discounted prices.
Euro Cup fans worldwide can book Euro 2024 Tickets from our online platform www.worldwideticketsandhospitality. Fans can book Croatia Vs Italy Tickets on our website at discounted prices.
Euro Cup fans worldwide can book Euro 2024 Tickets from our online platform www.worldwideticketsandhospitality. Fans can book Poland Vs Austria Tickets on our website at discounted prices.
Euro Cup international supporters can book Euro 2024 Tickets from our online platform Worldwideticketsandhospitality.com. Followers can book Turkey Vs Portugal Tickets on our website at sale prices.
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docxEuro Cup 2024 Tickets
Chelsea's Marc Cucurella is one of only three Premier League players included in Spain's preliminary Euro Cup 2024 squad as the Tottenham star with 11 goal contributions is overlooked
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...Eticketing.co
Euro Cup 2024 fans worldwide can book Spain vs Italy Tickets from our online platform www.eticketing.co. Fans can book Euro Cup Germany Tickets on our website at discounted prices.
Turkey's Euro 2024 Squad Overview and Transfer Speculation.docxEuro Cup 2024 Tickets
Vincenzo Montella has announced a preliminary 35-man squad for Turkey ahead of the UEFA Euro 2024, which includes three Serie A players, Hakan Calhanoglu, Kenan Yildiz, and Zeki Celik
Mats André Zuccarello Aasen, commonly known as Mats Zuccarello, was born on September 1, 1987, in
Oslo, Norway. He grew up in the bustling neighborhood of Løren, where his passion for ice hockey began
at a young age. His mother, Anita Zuccarello, is of Italian descent, and his father, Glenn Aasen, is
Norwegian. This multicultural background played a significant role in shaping his identity and versatility
on and off the ice.
Albania vs Spain Euro Cup 2024 Very Close Armando Broja Optimistic Albania Wi...Eticketing.co
Euro Cup 2024 fans worldwide can book Albania vs Spain Tickets from our online platform www.eticketing.co. Fans can book Euro Cup Germany Tickets on our website at discounted prices.
Euro Cup fans worldwide can book Euro 2024 Tickets from our online platform www.worldwideticketsandhospitality. Fans can book Denmark Vs England Tickets on our website at discounted prices.
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
Momentum - Chapter 9
1. Momentum and Its Conservation Or How I Learned to Love Collisions
2.
3. Impulse and Momentum It is always exciting to watch a baseball player hit a home run. However, to impress your friends and family, instead of analyzing the collision in terms of accelerations and forces on the bat and ball, we will concentrate on a different way of analyzing the collision.
4.
5. Before the collision, the baseball moves toward the bat. During the collision, the baseball is squashed against the bat. After the collision, however, the baseball moves at a higher velocity away from the bat, and the bat continues in its path, but at a slower velocity. How are the velocities of the ball, before and after the collision, related to the force acting on it? Newton’s second law describes how the velocity of an object is changed by a net force acting on it. The change in velocity of the ball must have been caused by the force exerted by the bat on the ball. The force changes over time.
6. Newton’s second law of motion, F = m a , can be rewritten by using the definition of acceleration as the change in velocity divided by the time needed to make that change. It can be represented by the following equation: Multiplying both sides of the equation by the time interval, t, results in the following equation: F t = m v Impulse , or F t , is the product of the average force on an object and the time interval over which it acts. F = m a = m
7. Impulse is measured in newton-seconds. The right side of the equation, m v , involves the change in velocity: v = v f - v i . Therefore, m v = m v f - m v i . The product of the object’s mass, m , and the object’s velocity, v , is defined as the momentum of the object. Momentum is measured in kg•m/s. An object’s momentum, also known as linear momentum, is represented by the following equation p = mv
8. Recall the equation F t = m v = m v f - m v i . Because m v f = p f and m v i = p i , this equation can be rewritten as follows: F t = m v = p f - p i The right side of the equation, p f - p i , describes the change in momentum of an object. Thus, the impulse of an object is equal to the change in its momentum, which is called the impulse-momentum theorem . The impulse-momentum theorem is represented by the following equation. If the force on an object is constant, the impulse is the product of the force multiplied by the time interval over which it acts.
9. Using the Impulse-Momentum Theorem to Save Lives A large change in momentum occurs only when there is a large impulse. A large impulse can result either from a large force acting over a short period of time or from a smaller force acting over a long period of time. What happens to the driver when a crash suddenly stops a car? An impulse is needed to bring the driver’s momentum to zero. An air bag reduces the force by increasing the time interval during which it acts.
10. It also exerts the force over a larger area of the person’s body, thereby reducing the likelihood of injuries.
11.
12. The Conservation of Momentum You have seen how a force applied during a time interval changes the momentum of a baseball. But in the discussion of Newton’s third law of motion, you learned that forces are the result of interactions between objects moving in opposite directions. The force of a bat on the ball is accompanied by an equal and opposite force of the ball on the bat. Is the momentum of the bat, therefore, also changed?
13. Two-Particle Collisions Although it would be simple to consider the bat as a single object, the ball, the hand of the player, and the ground on which the player is standing are all objects that interact when the baseball player hits the ball. A much easier system is the collision of two balls of unequal mass and velocity. During the collision of the two balls, each briefly exerts a force on the other. Despite the differences in sizes and velocities of the balls, the forces they exert on each other are equal and opposite, according to Newton’s third law of motion. These forces are represented by the following equation. F B on A = -F A on B
14.
15.
16. Because the time intervals over which the forces are exerted are the same, how do the impulses received by both balls compare? They must be equal in magnitude but opposite in direction. How do the momenta of the balls compare after the collision? According to the impulse-momentum theorem, the final momentum is equal to the initial momentum plus the impulse. Ball A: p A2 =F B on A Δt + p A1 Ball B: p B2 = F A on B Δt + p B1
17. Use the result of Newton’s third law of motion –F A on B = F B on A. P A2 = -F A on B Δt + P A1 Add the momenta of the two balls. m 1 v 1 + m 2 v 2 = m 1 v ' 1 + m 2 v ' 2 P A2 = -F A on B Δt + P A1 P B2 = F A on B Δt + P B1 P A2 + P B2 = P A1 + P B1 +
18. This shows that the sum of the momenta of the balls is the same before and after the collision. That is, the momentum gained by ball 2 is equal to the momentum lost by ball 1. If the system is defined as the two balls, the momentum of the system is constant. A kewl animation
19. Explosions You have seen how important it is to define each system carefully. The momentum of the tennis ball changed when the external force of the racket was exerted on it. The tennis ball was not an isolated system. On the other hand, the total momentum of the two colliding balls within the isolated system didn’t change because all forces were between objects within the system.
20. Can you find the final velocities of the two in-line skaters in Figure 9-8 ? Assume that they are skating on such a smooth surface that there are no external forces. They both start at rest one behind the other. Skater A gives skater B a push. Now both skaters are moving, making this situation similar to that of an explosion. Because the push was an internal force, you can use the law of conservation of momentum to find the skaters’ relative velocities. The total momentum of the system was zero before the push. Therefore, it also must be zero after the push. p. 238
21.
22. The momenta of the skaters after the push are equal in magnitude but opposite in direction. The backward motion of skater A is an example of recoil. The velocities depend on the skaters’ relative masses. If skater A has a mass of 45.kg and skater B’s mass is 60.0kg, then the ratio of their velocities will be 60/45 or 1.33. The less massive skater moves at the greater velocity. But, without more information about how hard they pushed, you can’t find the velocity of each skater. v A2 = m B m A — v B2
23. Two-Dimensional Collisions Up until now, you have looked at momentum in one dimension only . The law of conservation of momentum holds for all closed systems with no external forces. It is valid regardless of the directions of the particles before or after they interact. Now you will look at momentum in two dimensions. For example, billiard ball A strikes stationary ball B. Consider the two balls to be the system. The original momentum of the moving ball is p A1 ; the momentum of the stationary ball is zero. Therefore, the momentum of the system before the collision is equal to p A1 .
25. After the collision, both balls are moving and have momenta. According to the law of conservation of momentum, the initial momentum equals the vector sum of the final momenta, so p A1 = p A2 + p B2 . The equality of the momentum before and after the collision also means that the sum of the components of the vectors before and after the collision must be equal. Therefore, the sum of the final y -components must be zero. p A2y + p B2y = 0 They are equal in magnitude but have opposite signs. The sum of the horizontal components is also equal. p A1 = p A2x + p B2x
26. Example: A 2.00-kg ball, A , is moving at a speed of 5.00 m/s. It collides with a stationary ball, B , of the same mass. After the collision, A moves off in a direction 30.0 º to the left of its original direction. Ball B moves off in a direction 90.0º to the right of ball A's final direction. How fast are they moving after the collision? Solution: 1. Sketch the before and after states Before A B v A1 v B1 =0 A B After v A2 v B2
27. 2. Draw a momentum vector diagram. Note that p A2 and p B2 form a 90 º angle. 3. Perform calculations: Determine initial momenta: p A1 = m a v a1 = (2.00 kg)(5.00m/s) = 10.0 kg •m/s p B1 = 0 Find p 2 : p 2 = p 1 = 10.0 kg•m/s 90 º p A2 30 º p B2 p 2 • p A1 p B1
28. Find p A2 and p B2 . p A2 = p 2 cos 30.0 ° p B2 = p 2 sin 30.0 ° = (10.0 kg•m/s)(0.866) = (10.0 kg•m/s)(0.500) = 8.66 kg•m/s = 5.00 kg •m/s Find final speeds. = 4.33 m/s = 2.50 m/s p A2 m A v A2 = v B2 = p B2 m B = 8.66 kg •m/s 2.00 kg = 5.00 kg •m/s 2.00 kg