Web date details additional resources; Web momentum and impulse worksheet. 50 kg ball thrown straight up with a velocity of 30 m/s. Teach Linear Momentum and Impulse with this 14 day unit. Learn Intro to Momentum with free step-by-step video explanations and practice problems by experienced tutors. (a) p=mΔv= (0. No software installation. This momentum curriculum is algebra based and does not require trigonometry. 5-kg body is moving downward at 8. For an object in linear motion, its momentum can be defined as p=mv, or the momentum of an object (p) is equal to its mass (m) multiplied by its velocity (v). Level: Standard. Collision Worksheet I. Students will have fun and at the same time learn about impulse and the change of momentum. Enter Code. We also know that impulse is a change in momentum, so impulse can be written as . The block is released. 2:27 Q intended to test your understanding of the concepts of momentum change, impulse, mass, force, time and velocity change. The last impulse involves an average upward force of 116 N which cases a 84 kg•m/s momentum change. The units for impulse are N·s but we know that Newtons are also kg·m/s 2 and so N·s = (kg·m/s 2 ) (s) = kg·m/s. 50 Save $2. Try Now! Momentum and Impulse Worksheet 1. 2 Impulse by Irvani. Do whatever you want with a Momentum and Impulse Worksheet 1. Calculate the momentum of each of the following objects: a. What is the force exerted on the ball by the receiver? m = (1 proton mass/1 cm3)(6 m) (4 m) (4. This helps with organization by identifying the what the problem is asking for. Country: United States. Impulse and momentum have the same units; when an impulse is applied to an Taking the initial direction of the ball as positive (the left) Initial velocity, u = 30 m s –1. Momentum is the product of an object’s mass and its velocity. momentum and impulse interactive and downloadable worksheets. −1, its direction of motion 999+ Documents. Get this complete calculation set of self grading google quizzes on Impulse . What is the velocity of the football? 15 m/s forward. Jun 11, 2018 · Momentum And Impulse Worksheet. What are the initial and final kinetic energies of the system and what percent of the energy was lost (energy lost / initial energy). 2. Use the fact that impulse Momentum and Impulse. Which has a greater momentum, a heavy truck at rest or a moving skateboard? 2. Impulse Quiz: Solving For Impulse | Worksheet | 10 Pack; Impulse Quiz: Solving For Force | Worksheet | 10 Pack Yes worksheet: momentum and impulse define momentum. 5. The problems cover calculating momentum, force exerted during an impulse, using the impulse-momentum theorem to solve for velocity and time, combining momentum when objects stick together, and elastic collisions. a) What is its momentum? b) How much force is required to bring it to a stop in 6. They love getting out of their seats and making a harmless blowgun. The minus sign indicates that the impulse was in the opposite direction of the original throw. This Resource is a lesson designed to begin the A Level Physics Topic of Force and Momentum, opening with this lesson on Momentum and Impulse. , vehicular collision). Oct 24, 2022 · 24/10/2022. In physics, the quantity Force • time is known as impulse. Worksheet #6 – Collisions Revisited Worksheet. the Earth, a mass of 5. 2 m s. A 1200 kg car traveling at 20. Momentum. weight - the force by which gravity attracts the stuff to Earth. 25 s? 4. Q. 2) Force-time graphs representing rocket motor thrust and questions calculating impulse from the graphs. 0 cm above the deck. Example: What’s the momentum of a 1000 kg car moves at 20 m/s? e. Jan 5, 2015 · The batter lines the ball directly back to the pitcher with a speed of 40 m/s. Calculate the impulse Momentum and Collisions Packet (PDF) The Curriculum Corner contains a complete ready-to-use curriculum for the high school physics classroom. 50 milliseconds from an initial speed of 4. Give the equation and unit. We’ll also share data to participants using Graphical Analysis Pro. We can show this by dimensional analysis, that is, by working out what the units of impulse are, and comparing the units to the units of momentum. The impulse-momentum theorem states that the change in momentum of an object equals the impulse applied to it. momentum. Particle A is then given an impulse in the direction AB so that it moves with speed 3 m s−1 directly towards B. 1568 kg, 31360 Ns, 23520 Ns, 36. (a) Find the magnitude of this impulse, stating clearly the units in which your answer is given. Instructions: Read each question carefully. 61 grams. 52 KB. You are going north. b) the average force needed to stop the player. Jan 7, 2014 · having more mass will have _____ momentum. 11 In sports, follow-through is the continuation of the motion (e. 5 kg·m/s forward. Image Info File Name : momentum_and_impulse_worksheet_1. 0 s, if a force F̄ = 78î ― 22tĵ is applied to the car, where F is measured in N and t in s. 98x104m/s. Jul 2, 2019 · The impulse is the quantity defined as the force multiplied by the time it is applied. 3 m/s. PRACTICE: MOMENTUM AND IMPULSE. It includes: 1) Multiple choice questions and word problems involving calculations of momentum, changes in momentum, and impulse for various objects and collisions. Quiz: 1. You are going north Find the momentum of the deer. Worksheet Phys 201: Chapter 9 Impulse and Momentum Before we begin the problems, it helps to list your known’s and unknowns/what we are solving for. Momentum is the product of the objects mass And the objects velocity= measured in p kg multiplied by m/s is mom. kg shot is î î kg∙m/s [forward]. A change in momentum is known as an impulse. 00 m/s. c) the distance he moved during the stopping time. This is a useful resource that is part of a lesson on Momentum. Topics on the quiz include the definition of impulse and the impact force in a Lesson 1: Impulse and Momentum; Lesson 2: Relationship of Impulse and Momentum to Collisions of Objects; At the end of this module, you should be able to: 1. Defining Momentum and Impulse. The vector quantity for impulse is represented by the letter “J”, and since it's a change in momentum, its units can be one the same as those for momentum, [kg·m/s], and can also be written as a Newton-second [N·s]. 0 N is applied to a 3. What is the weight of the object? 3. These worksheets allow students extra practice with momentum and impulse problems and provide the teacher with another opportunity for formative assessment. It is a vector quantity that has the same direction as the force. explain what momentum is a vector quantity. How is your understanding level progressing? a) the impulse imparted to the football player. pptx, 41. Find the impulse of a 50. Copy and Edit. 1 Linear Momentum and Force 1. Impulse and Momentum with Guided Inquiry. An official major league baseball has a mass of 0. Impulse = Change in momentum. If mass is changing, then…. Country code: US. A 1500 kg car accelerates from 55. (2) (2) State the principle of conservation of linear momentum in words (2) (3) State Newton's second law of motion in terms of momentum (2) (4) (SUP 2013) A bullet of mass 10 g, moving at a velocity of 300 m. Practice impulse calculations using both force and time as well as change in momentum using this impulse color sheet! This self-checking physics color by code activity has 10 questions on calculating impulse, momentum, force, time, and change in momentum. Bundle of 6 worksheets covering momentum including:Calculating MomentumCalculating Changing MomentumMomentum and ImpulseConservation of MomentumIncluded in the bundle is also a free momentum unit review! 6. A . 0 m in 0. The impulse given to an object is equal to the change in momentum of the object. Momentum and impulse have the same units: kg·m/s. ค. Determine the impulse experienced by the fullback. If the force changes during the time interval, F is the average net force over that time interval. Momentum worksheet to practice solving problems using the impulse-momentum theorem. kg m/s. 0 m/s. These assessments will test your knowledge of how to calculate momentum and impulse. For a constant force, if the duration of impact upon an object is doubled, how is the impulse affected? b. The momentum of a 7. Momentum and impulse. external link – collision concepts from hyperphyics The document contains worksheets on impulse and momentum problems. The student is asked to show their work and calculations for each problem. The momentum of an object depends upon the object's ________. A stationary receiver catches the ball and. What is the object’s momentum after 0. 36 MB. 1. velocity - how fast and in what direction it's stuff is moving. J = ∆p. Teacher Notes for Physics: Momentum Basics; Law of Conservation of Momentum; Reading Impulse Graphs. Notes - 8. the impulse on an object is greater than the change in momentum it causes. Calculate the momentum of the Titanic (m = 4. 10 second. A deer with a mass of 146 kg is running head on toward ou with a speed of 17 m/s. . g. School subject: Physics (1061802) Main content: Momentum Impulse (1815693) From worksheet author: Calculations of Momentum, Force & Impulse. c. Advanced Physics. m/s−40. ️What’s Included in this Bundle: Click above for details and preview Level 1. When our spacecraft strikes the interstellar medium, the medium changes its speed from zero to 60,000 km/s. 00 seconds. Check it out! Worksheets. $15. 2 Impulse 5. Our educational resources empower teachers and inspire students to excel academically. Great value for money!! A car moving at 10 m/s crashes into a tree and stops in 0. All the materials needed for this will cost less than $5 for something you can use forever. A car pulls a trailer with a force of 250 N. a 0. 6. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s. 21. 0 plays. 00 $17. Momentum, impulse, conservation of momentum; In fact, newton's laws were rst written in terms of. Test your health by trying these computational problems. 24 MB. NOTE: If you can't see the images (too small), move your cursor off the page, then back. 50 kg ball thrown up with a velocity of 30 m/s. You Save: $0. is 1. What is the momentum of a 0. (2) Immediately after the particles collide, the speed of . Vocabulary Impulse: The product of the force exerted on an object and the time interval during which it acts. Next Class: Momentum and Impulse. 2 s 5. 3 together say that when a force is applied for an infinitesimal time interval dt, it causes an infinitesimal impulse d→J Jan 11, 2021 · Solution. Grade 9 Science Quarter 4 Self-Learning Module: Impulse and Momentum SCI9-Q4-MOD3 MOMENTUM AND IMPULSE: MONDAY: (1) Give the definition of momentum in words. Exercise: A 0. Simple Computations with Impulse = Momentum Change. Step 3: Substitute in the known values. 2 m/s to 6. Determine the momentum change of the soccer ball. by rheamae01. The impulse caused by a force during a specific time interval is equal to the body’s change of momentum Jan 3, 2016 · The batter lines the ball directly back to the pitcher with a speed of 40 m/s. A 1500 kg car traveling at 15 m/s to the south collides with a 4500 kg truck that is initially at rest at a stoplight. Find the impulse exerted on the ball. Basic IPC Worksheets: Momentum. 514444 m/s) 3. b. define the term impulse. Sep 20, 2021 · The formula for Impulse is: Impulse = FΔt where F is force in newtons N Δt is change in time in seconds Impulse and momentum are in fact the same thing. Define momentum. Jan 14, 2013 · The SI unit for momentum is the kilogram meter/second (kg m/s). Topics include: the momentum impulse theorem and conservation of momentum. AI Quiz. Physics - Momentum/Impulse Worksheet Chapter 6 . A stationary receiver catches the ball and brings it to rest in . jpg Dimensions : 447x557 Ratio : 4:5 Save my name, email, and website in 9. The change of momentum of an object is equal to the impulse. All you need to teach momentum and impulse to IGCSE, GCSE, A level and IB. Momentum and Impulse WKSHT 7. The impulse on the interstellar medium is equal and opposite to the impulse on the spacecraft. Calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. Grade 11. Impulse is The product of the average force on an object make time interval. 97x1024kg, moving at 2. The equation really says that the. 75 s. Emmanuelbaccelli. It is also a vector quantity. 25. A 1,200-kilogram car traveling at 10 meters per sec-ond hits a tree and is brought to rest in 0. The questions focus on momentum, impulses, and forces and the equations students will use to arrive at solutions are:p = mvΔp = mΔvF⋅t = ΔpF⋅t = mΔvF⋅t = m(vf − vi) Other Feb 5, 2013 · Momentum is a vector quantity that has the same direction as the velocity of the object. 2 and Equation 9. Relate impulse and momentum to collision of objects (e. Download. 0 m/s speeds up to 30. 012 sec, find the average force exerted on the ball by the bat. If mass is constant, then…. What is the force exerted on the ball by the receiver? 3. two cars, one twice as heavy as the other, move down hill at the same speed. Worksheet #5 – Intro to Conservation of Momentum 2D. d) The object hits the ground with 2. 50 x 103 kg truck traveling at. A 5. The second impulse of 112 N•s lasts for 0. c) The object change in velocity from 2. 15 kg block is pressed into a spring, compressing it by 15. 65 seconds. A force of 20. Collision Analysis. 2 × 105 N 2. If we combine these equations, we find: Since the mass of a single object is constant, a change in the product of mass and velocity is equivalent to the product of mass This physics worksheet features 28 scenarios (many with multiple sub-questions) with 44 total questions for students to answer. 5 kg football is thrown with a momentum of 22. Presentation with suggestions for practicals, worked examples, a cool video and worksheets. In words, it could be said that the force times the time equals the mass times the change in velocity. View Bundle. A force of 800 N causes an 80-kg fullback to change his velocity by 10 m/s. impulse (force)(elapsed time)orJ F t The SI unit for impulse is the newton second (N s). m/s)=−12 kg⋅m/s. 3. Note: In sports, impulse is called the “follow through” Impulse 1. Determine the change in momentum of a car during the time interval t = 2. Find the momentum of the deer. File previews. 80-kg soccer ball experiences an impulse of 25 N•s. 1 pt. Description. Calculate the momentum of a 2. Answer key for momentum and impulse worksheet determine the impulse felt the driver. More Problems. On the first impulse, Cassie experiences an average upward force of 230 N for 0. Pick two quantities. Worksheet #2 – Intro to Momentum and Impulse. 9th Momentum and Impulse AP Physics – Mr. smooth horizontal table. Teacher Support. 02 seconds. Section 9. Where m is the mass and v is the velocity. d. 5 m above the floor. Worksheet #3 – Momentum and Impulse Extra Practice. Share on Twitter. 0s? 2. SPH4UI : Energy & Momentum, Worksheet #2 Momentum and Impulse 1. If the momentum of the NASA space shuttle as it leaves the atmosphere is 3. And since the quantity m•v is the momentum, the quantity m•Δv must be the change in momentum. Grade 8. This document contains a worksheet with 7 problems involving momentum and impulse. Explore a diverse range of Momentum And Impulse Answers’s topics, tailored to various grade levels. What is its momentum? 2. A 6–kg mass moving at 10 m/s has a head-on collision with a 4–kg mass that is initially at rest. Impulse. 2: Solving Impulse and Momentum Problems Read PDF online: Momentum & Impulse Worksheet 1 Period: 1. 75 Dec 22, 2023 · A deer with a mass of 146 kg is running head on toward you with a speed of 17 m/s. the impulse on an object is less than the change in momentum it causes. Access a wealth of interactive and printable Grade 10 Momentum And Impulse Answers worksheets designed to enhance learning experiences. the impulse on an object is equal to the change in momentum it causes. A 60 N force has been applied to a 20-kg block and move it 5 m along the direction of the force. 75 x 108 kg •m/s and its mass is 75000 kg, what is its speed? 3. A person slaps her leg with her hand, bringing her hand to rest in 2. The total impulse over the interval tf − ti is. Final velocity, v = –20 m s –1. Momentum Conservation as a Guide to Thinking. 5 m/s and rebounds with the same speed. Calculate the momentum of a 110-kg football player running at 8. 31 ม. Why is the symbol for momentum a lowercase p? 3. Feb 28, 2019 · pptx, 211. docx, 110. A marble is rolling at a velocity of 1 m/s with a momentum of 0. Find the work done by the girl. ∴ a = F. Momentum can be calculated using the formula: momentum (p) = mass (m) x velocity (v) The impulse of a force is the force applied multiplied by the time it is applied over. 50. No paper. Add one to cart. 12. 1a, 1. b) a 2000 kg railway car moving south at 10 m/s. Write the symbol and equation for momentum. Content Locked. Grade 10. Click on the preview to see exactly which qu Momentum-Impulse APlusPhysics: Momentum-Impulse MM MM MM Page 71 1. An object has a velocity of 2. 15 kg) (−40. 852 km/h). By definition, p = m ⋅ v. Click on the preview to see exactly which questions are included. s-1, strikes a wooden block of mass 1,99 kg resting on a flat horizontal surface as shown in the diagram below. An object at rest has _____ momentum. Physics 30 Worksheet # 2: Impulse 1. A model jet rocket applies an impulse of 20 N*s over 3 s inte 1. Included is a docx file, pdf file, and key. If the truck has the same momentum in each case, what is the mass of the empt y truck? 4. 6 N 4. b) The object stops from a velocity of 12. What is angular momentum. What is the impulse experienced by the car? 3. mp4, 14. Teach an engaging momentum and impulse unit without all the prep and stress of making your Momentum. Worksheet #4 – Intro to Conservation of Momentum 1D. Mass, m = 58 g = 58 × 10 –3 kg. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. docx, 29. Worksheet #1 – Energy Review. 0 km/h. 2 × 103 N 3. by fa2303. Hall W O R K S H E E T # 3 Name: 1. What is its mass? 3. je an determine the force exerted on her in this case, impulse and. 0 kg object is dropped from a height of 2. Compared to that of the lighter car, the momentum of the heavier car is _____ as much. If the bat and ball were in contact for 0. 4. 41 seconds. A change in momentum is caused by an impulse. Objective: Use the impulse-momentum theorem to solve for an unknown variable. define the term momentum. About This Quiz & Worksheet. Share on Facebook. Impulse is a vector quantity that has the same direction as the force. Momentum and Impulse. Momentum is a conserved quantity in a closed system, meaning if no outside forces act on the system, its total momentum will always stay the same. Short answer response questions must be responded to in complete sentences. What are the units for momentum? 4. doc: fill, sign, print and send online instantly. Products. It is an important factor in performance. Following the collision, the 6 kg mass moves at a speed of 2 m/s. The car and truck stick together and move together after the collision. What is the magnitude of the average force acting on the car to bring it to rest? 1. Grade 7. An activity on the basics of momentum. 250 m/s or –50 m/s. A. kg object under the following scenarios: a) The object accelerate to 7. This is a vector quantity. Jul 20, 2020 · 0:00 Question#1. 0 m/s east and a momentum of 29 kgm/s. The impulse-momentum theorem is logically equivalent to Newton's second law of motion (the force law). Resource type: Worksheet/Activity. Name _____ Date :_____ Period: _____ Momentum & Impulse Worksheet 1. On any device & OS. A steel ball whose mass is 2 kg is rolling at a rate of 2 m/s. P=mv Momentum Mass and Speed m=p/v Mass Momentum and Speed v=p/m Speed Momentum and Speed 1. 2 Power and Efficiency; Handout - Question Sojourner Review Questions - Review so Far Day 4: Quiz 2! + Intro to Momentum and Impulse and Iron Man's Crappy Armor Homework: Complete worksheet for Momentum and Impulse Next Class: Evil Super Heroes Unlock the potential of engaging education with our comprehensive collection of Momentum And Impulse Answers worksheets for students and teachers. 9. 1/13. Product details. The impulse-momentum theorem states that. The quantity of force multiplied by the time it is applied is called impulse. Grade 6. Use Newton’s 2nd Law and the momentum formula to write an equation for ∆p This worksheet serves as momentum for you to keep learning. The entire deal rests on a flat, low friction table that is 75. 60 Ns, 15 m/s 2. Securely download your document with other editable templates, any time, with PDFfiller. 2 × 10 N 2. 14 kg. It crashes head-on into a 0. I = m∆v = 80(10) = 800 N·s. 0 km/h to 90. 1b, 1. , continued swing) after contact with the ball has been made. 5500 Ns, 84. 750 kg block that is at rest. pptx, 16. Grade. the force on a moving object is equal to the magnitude of the impulse. 40-kg soccer ball approaches a player horizontally with a speed of 15 m/s. Action-Reaction and Momentum Conservation. 1 1. A 60-kg box rests on a horizontal, frictionless surface. The learning objectives in this section will help your students master the following standards: (6) Science concepts. Name Date Period: Momentum & Impulse Worksheet 1 1. The spring constant is 455 N/m. Grade 9. a 2000 kg railway car moving south at 10 m/s c. Momentum - back to Teacher Notes Worksheets: These are from IPC, but they are still the basics and you must know them. 20 m/s. 26 s. 21 KB. Upon the completion of this unit the student will be able to: 1. 2 x 10 7 kg) moving at 14 knots (1 kt = 1. 2 × 104 N 4. A force of 4 N is applied to a ball for 0. acceleration - the rate at which the stuff changes its velocity. Since momentum is equal to mass times velocity, we can write that . A 0. Grade 12. 0 cm. Momentum Problem-Solving. mass - how much stuff it has. Step 2: Write down the impulse equation. PSYW. 0 m/s east? 25 kg·m/s east. Web momentum and impulse worksheets. A 14 kg cart travels 3. F = ma. Just prior to this series of impulses, her 48. the force is exerted. Explore a diverse range of Grade 10 Momentum And Impulse Answers’s topics, tailored to various grade levels. A 1. Product of a rotating objects momentum of inertia and its angular velocity Angular impulse angular momentum theorem States that the angular impulse on an object is equal to the change in the objects angular momentum. 5 kg football is thrown with a velocity of 15 m/s to the right. A deer with a mass of 146 kg is running head on toward you with a speed of Feb 6, 2012 · 20. 2024 - Practice impulse calculations using both force and time as well as change in momentum using this impulse color sheet! This self-checking physics color by code activity has 10 questions on calculating impulse, momentum, force, time, and change in momentum. A deer with a mass of 146 kg is running head-on toward you with a speed of 17 m/s. (b) Step 1: State the direction of the impulse. 31. brings it to rest in . F Impulse and Momentum quiz for 9th grade students. give the equation and unit. 13. J =∫. 83 KB. Find other quizzes for Physics and more on Quizizz for free! Worksheet Save Share. Impulse is a vector quantity defined as the product of the force acting on a body and the time interval during which. This collection of pages comprise worksheets in PDF format that developmentally target key concepts and mathematics commonly covered in a high school physics curriculum. What is the impulse? 5. The mass of the passenger is 70 kg. Create. This is a very exciting lab that students will love to do. 15 kg) (−80. Info. Also, red represents the solution. 50 kg hockey puck traveling at 50. Explain how you found the impulse given to the cart from your data. 1c; Notes-2: Power and Efficiency; Worksheet - 4. Equation 9. A starter activity on force, mass and acceleration. 3) Additional questions involving calculations of velocity Determine the mass of the empty freight car. m/s)= (0. Complete a blank sample electronically to save yourself time and money. The standard units for momentum are kg ⋅ m / s , and momentum is always a vector quantity. For a worksheet to accompany this video, please visit https://www. teacherspayteachers. If the question involves calculations, you must show all your math work. Calculate the momentum of each of the following objects: a) a 0. 3. For objects of the same mass, the higher the velocity, the _____ the momentum. A girl pushes on the box with a force of 15 N 5 meters to the right. 1320 N 3. 5 m/s from rest. Choose the answer that best fits the question. Higher Momentum and Impulse Questions Worksheets. It is usually given the symbol p . Physics. Figure 9. Advanced Physics questions and answers. It contains: A Powerpoint to provide a general lesson structure and explanations. A deer with a mass of 146 kg is running head on toward you with a speed of 17 m/s. Using investigation 6, Impulse and Momentum, from Physics Explorations and Projects, we’ll look at ways to quantify impulse using sensors and software, and examine different results students may obtain. 6 A force applied by a tennis racquet to a tennis ball over a time interval generates an impulse acting on the ball. On April 15, 1912, the luxury cruise liner Titanic sank after running into 13 PRACTICE PROBLEM. Share on Pinterest. Impulse-Momentum Theorem. Let's take our printable momentum and impulse worksheet answers collection. Two cars, one twice as heavy as the other, move down a hill at the same speed. com/Product/C-Doners-Physics-Momentum-Impulse-Worksheet-6355367Topic 2. 00 kg object for 4. 2. Impulse-Momentum Theorem Make qualitatively correct plots of the force and linear momentum as a function of time for a collision with the bumper. If the total impulse is 900 000 N*s, for how long is the force applied? 6. Since the impulse is negative, it must be in the opposite direction to which the tennis ball was initially travelling. recognize the direction of the momentum of an object is the same as its velocity. Momentum is a measurement of mass in motion: how much mass is in how much motion. F dt = m dv + v dm. Experiment: Impulse and Momentum. Calculate the impulse experienced by the object. The momentum of a rotating objects moment of inertia and it's angular velocity angular. Other contents: Impulse acceleration force. 0 s to t = 3. F∆t = m∆v. a. 15 KB. Exercise: Compare the momentum of a 2000 kg van moving at 30 m/s with a 5000 kg truck moving at 12 m/s. 243 light years) m = 1. FΔt = mΔv. We can calculate the change in momentum and give the answer as impulse because we know that the impulse is equal to the change in momentum. 2 x 10 7 kg) moving at 14 knots (1 kt=0. perform calculations involving the equation p = mv. uy vn tp au py zj bo qu mv bl