When we throw a ball :


 Marylou Hunt
 2 years ago
 Views:
Transcription
1 PROJECTILE MOTION
2 When we throw a ball : There is a constant velocity horizontal motion And there is an accelerated vertical motion These components act independently of each other
3 PROJECTILE MOTION A falling object with constant linear velocity and vertical acceleration :
4 2D motion The path or trajectory projectiles make is parabolic (neglecting air resistance). Two independent motions horizontal and vertical. Use kinematics equations in one direction at a time. The connection between the two motions is the variable time.
5 Projectile motion Vertical motion is free fallconstant acceleration motion. Δx = v i t + ( ½) a t 2 becomes v f = v i + at v f 2 = v i 2 + 2aΔx
6 Projectile motion Horizontal motion is constant velocity motion...and a x = 0, so Δx = v i t + ( ½) a t 2 becomes
7 A projectile is launched with an initial horizontal velocity from an elevated position and follows a parabolic path to the ground. Predictable unknowns include the initial speed of the projectile, the initial height of the projectile, the time of flight, and the horizontal distance of the projectile. Problem Type 1:
8 Problem Type 2: A projectile is launched at an angle to the horizontal and rises upwards to a peak while moving horizontally. Upon reaching the peak, the projectile falls with a motion which is symmetrical to its path upwards to the peak. Predictable unknowns include the time of flight, the horizontal range, and the height of the projectile when it is at its peak.
9 Type 1 examples A pool ball leaves a 0.60meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball's landing location.
10 A pool ball leaves a 0.60meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball's landing location. Horizontal (x) info: List Givens Vertical (y) info: x =? v ix = 2.4 m/s a x = 0 m/s 2 y = m v iy = 0 m/s a y = 9.8 m/s 2 t =? Equations: Δx = v i t + ( ½) a t 2 v f = v i + at v f 2 = v i 2 + 2aΔx
11 Choose an equation and solve y = v iy t + ( ½) a y t m = (0 m/s) t (9.8 m/s/s) t m = (4.9 m/s/s) t s 2 = t 2 t = s
12 Now use equation in horizontal direction to solve for x x = v ix t + 0.5a x t 2 x = (2.4 m/s)( s) (0) ( s) 2 x = (2.4 m/s) ( s) x = 0.84 m
13 Example B, problem type 1 A soccer ball is kicked horizontally off a 22.0meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
14 A soccer ball is kicked horizontally off a 22.0meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball. List Givens Horizontal (x) info: Vertical (y) info: x = 35 m v ix =? a x = 0 m/s 2 y = m v iy = 0 m/s a y = 9.8 m/s 2 Δx = v i t + ( ½) a t 2 v f = v i + at v f 2 = v i 2 + 2aΔx
15 Solve y = v iy t + 0.5a y t 2 t= 2.12 s Now use x = v ix t + 0.5a x t 2 to solve for v ix v ix = 16.5 m/s
16 Previous Examples = Problem Type 1
17 Problem Type 2
18 Projectiles launched at an angle initial velocity = v i launch angle θ separate initial velocity into components v yi v i θ v x
19 Components from trig. func. Use sine and cosine functions to find components.
20 Problem type 2 (example A) A football is kicked with an initial velocity of 25 m/s at an angle of 45degrees with the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the football.
21 back to the problem A football is kicked with an initial velocity of 25 m/s at an angle of 45 o with the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the football. HORIZONTAL COMPONENT VERTICAL COMPONENT v ix = v i cosθ v ix = 25 m/s cos 45 o v ix = 17.7 m/s v iy = v i sinθ v iy = 25 m/s sin 45 o v iy = 17.7 m/s
22 A football is kicked with an initial velocity of 25 m/s at an angle of 45 o with the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the football. List Givens Horizontal (x) info: x =??? v ix = 17.7 m/s v fx = 17.7 m/s a x = 0 m/s 2 Vertical (y) info: y =??? v iy = 17.7 m/s v fy = m/s ** a y = 9.8 m/s 2 Equations: Δx = v i t + ( ½) a t 2 v f = v i + at v f 2 = v i 2 + 2aΔx
23 *symmetry of projectile motion
24 Same concept of symmetry applies to free fall motion
25 Use vertical info to find t v fy = v iy + a y t m/s = 17.7 m/s + (9.8 m/s 2 ) t m/s = (9.8 m/s 2 ) t s = t = 3.61 s
26 Now find horizontal distance x = v ix t + ½ a x t 2 x = (17.7 m/s)( s) + ½ (0 m/s/s)( s) 2 x = (17.7 m/s) ( s) x = 63.8 m
27 Find height of projectile at its peak (in other words, the vertical displacement, y) Note: The height is reached when at a time= ½ t y = v iy t + ½ a y t 2 y = (17.7 m/s)(1.80 s) + ½ (9.8 m/s/s)(1.80 s) 2 y = 31.9 m + (15.9 m) y = 15.9 m
28 Find height of projectile at its peak (in other words, the vertical displacement, y) Note: You could also use v f 2 = v i 2 + 2aΔy as long as you know v fy = 0 at the peak height
29 Type 2: example B A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28 o above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the longjumper.
30 A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28 o above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the longjumper. HORIZONTAL COMPONENT VERTICAL COMPONENT v ix = v i cosθ v ix = 12 m/s cos 28 o v ix = 10.6 m/s v iy = v i sinθ v iy = 12 m/s sin 28 o v iy = 5.6 m/s
31 A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28degrees above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the longjumper. Horizontal (x) info: x =??? v ix = 10.6 m/s v fx = 10.6 m/s a x = 0 m/s 2 Equations: List Givens Vertical (y) info: y peak =??? v iy = 5.6 m/s v fy = 5.6 m/s v ypeak = 0 m/s a y = 9.8 m/s 2 Δx = v i t + ( ½) a t 2 v f = v i + at v f 2 = v i 2 + 2aΔx
32 Use vertical info to find t v fy = v iy + a y t 5.6 m/s = 5.6 m/s + (9.8 m/s 2 ) t m/s = (9.8 m/s 2 ) t s = t = 1.1 s
33 Now find horizontal distance x = v ix t + ½ a x t 2 x = (10.6 m/s)( s) + ½ (0 m/s/s)( s) 2 x = (10.6 m/s) ( s) x = 12.2 m
34 Find height of projectile at its peak (in other words, the vertical displacement, y) Note: The height is reached when at a time= ½ t y = v iy t + ½ a y t 2 y = (5.6 m/s)( s) + ½ (9.8 m/s 2 )( s) 2 y = m + ( m) y = 1.6 m
Projectile Motion 1:Horizontally Launched Projectiles
A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach? How much time will the clown spend in the air? Projectile Motion 1:Horizontally Launched Projectiles Two
More informationUniformly Accelerated Motion
Uniformly Accelerated Motion Under special circumstances, we can use a series of three equations to describe or predict movement V f = V i + at d = V i t + 1/2at 2 V f2 = V i2 + 2ad Most often, these equations
More informationVectors; 2D Motion. Part I. Multiple Choice. 1. v
This test covers vectors using both polar coordinates and ij notation, radial and tangential acceleration, and twodimensional motion including projectiles. Part I. Multiple Choice 1. v h x In a lab experiment,
More informationProjectile motion simulator. http://www.walterfendt.de/ph11e/projectile.htm
More Chapter 3 Projectile motion simulator http://www.walterfendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x
More informationChapter 10: Linear Kinematics of Human Movement
Chapter 10: Linear Kinematics of Human Movement Basic Biomechanics, 4 th edition Susan J. Hall Presentation Created by TK Koesterer, Ph.D., ATC Humboldt State University Objectives Discuss the interrelationship
More informationExperiment 2 Free Fall and Projectile Motion
Name Partner(s): Experiment 2 Free Fall and Projectile Motion Objectives Preparation PreLab Learn how to solve projectile motion problems. Understand that the acceleration due to gravity is constant (9.8
More informationSpeed A B C. Time. Chapter 3: Falling Objects and Projectile Motion
Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.
More informationCatapult Engineering Pilot Workshop. LA Tech STEP 20072008
Catapult Engineering Pilot Workshop LA Tech STEP 20072008 Some Background Info Galileo Galilei (15641642) did experiments regarding Acceleration. He realized that the change in velocity of balls rolling
More informationMaximum Range Explained range Figure 1 Figure 1: Trajectory Plot for AngledLaunched Projectiles Table 1
Maximum Range Explained A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally
More information5.1 Vector and Scalar Quantities. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude.
Projectile motion can be described by the horizontal ontal and vertical components of motion. In the previous chapter we studied simple straightline motion linear motion. Now we extend these ideas to
More information3. KINEMATICS IN TWO DIMENSIONS; VECTORS.
3. KINEMATICS IN TWO DIMENSIONS; VECTORS. Key words: Motion in Two Dimensions, Scalars, Vectors, Addition of Vectors by Graphical Methods, Tail to Tip Method, Parallelogram Method, Negative Vector, Vector
More informationChapter 3 Practice Test
Chapter 3 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is a physical quantity that has both magnitude and direction?
More information1 of 7 9/5/2009 6:12 PM
1 of 7 9/5/2009 6:12 PM Chapter 2 Homework Due: 9:00am on Tuesday, September 8, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]
More informationSOLUTION According to Equation 3.2, we have. v v
Week homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign ersions of these problems, arious details hae been changed, so that the answers will come out differentl. The method to find the solution
More informationWEIGHTLESS WONDER Reduced Gravity Flight
WEIGHTLESS WONDER Reduced Gravity Flight Instructional Objectives Students will use trigonometric ratios to find vertical and horizontal components of a velocity vector; derive a formula describing height
More informationVisual Physics 218 Projectile Motion [Lab 2]
In this experiment, you will be using your video equipment to evaluate twodimensional motion. It will be necessary to plot the data in an xycoordinate system and separate the data into x and y components.
More informationSection 10.7 Parametric Equations
299 Section 10.7 Parametric Equations Objective 1: Defining and Graphing Parametric Equations. Recall when we defined the x (rcos(θ), rsin(θ)) and ycoordinates on a circle of radius r as a function of
More informationPhysics 590 Homework, Week 6 Week 6, Homework 1
Physics 590 Homework, Week 6 Week 6, Homework 1 Prob. 6.1.1 A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 35 m/s. At the same time it has a horizontal
More informationWWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I
WWW.MIAMIBESTMATHTUTOR.COM PAGE 1 OF 10 WWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I PROJECTILE MOTION 4.1 1. A physics book slides off a horizontal
More informationThe lab entitled Launching Lab has been designed to help aid in the visualization and application of various linear and projectile motion equations
The lab entitled Launching Lab has been designed to help aid in the visualization and application of various linear and projectile motion equations used in Physics II class at ERHS. The linear motion equations
More informationWeb review  Ch 3 motion in two dimensions practice test
Name: Class: _ Date: _ Web review  Ch 3 motion in two dimensions practice test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which type of quantity
More informationcharge is detonated, causing the smaller glider with mass M, to move off to the right at 5 m/s. What is the
This test covers momentum, impulse, conservation of momentum, elastic collisions, inelastic collisions, perfectly inelastic collisions, 2D collisions, and centerofmass, with some problems requiring
More informationChapter 9. particle is increased.
Chapter 9 9. Figure 936 shows a three particle system. What are (a) the x coordinate and (b) the y coordinate of the center of mass of the three particle system. (c) What happens to the center of mass
More information2) When you look at the speedometer in a moving car, you can see the car's.
Practice Kinematics Questions Answers are at the end Choose the best answer to each question and write the appropriate letter in the space provided. 1) One possible unit of speed is. A) light years per
More informationB) 286 m C) 325 m D) 367 m Answer: B
Practice Midterm 1 1) When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means that A) the acceleration is equal to g. B) the force of
More informationPHY121 #8 Midterm I 3.06.2013
PHY11 #8 Midterm I 3.06.013 AP Physics Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension
More informationChapter 11. h = 5m. = mgh + 1 2 mv 2 + 1 2 Iω 2. E f. = E i. v = 4 3 g(h h) = 4 3 9.8m / s2 (8m 5m) = 6.26m / s. ω = v r = 6.
Chapter 11 11.7 A solid cylinder of radius 10cm and mass 1kg starts from rest and rolls without slipping a distance of 6m down a house roof that is inclined at 30 degrees (a) What is the angular speed
More informationLab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally
More informationChapter 07 Test A. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Chapter 07 Test A Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An example of a vector quantity is: a. temperature. b. length. c. velocity.
More informationWorkEnergy Bar Charts
Name: WorkEnergy Bar Charts Read from Lesson 2 of the Work, Energy and Power chapter at The Physics Classroom: http://www.physicsclassroom.com/class/energy/u5l2c.html MOP Connection: Work and Energy:
More informationB) 40.8 m C) 19.6 m D) None of the other choices is correct. Answer: B
Practice Test 1 1) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.60 s and reaches the level of the top of the pole after a total elapsed time
More informationMidterm Exam 1 October 2, 2012
Midterm Exam 1 October 2, 2012 Name: Instructions 1. This examination is closed book and closed notes. All your belongings except a pen or pencil and a calculator should be put away and your bookbag should
More informationExam 1 Review Questions PHY 2425  Exam 1
Exam 1 Review Questions PHY 2425  Exam 1 Exam 1H Rev Ques.doc  1  Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that
More informationVECTOR AND PARAMETRIC MODELS OF PROJECTILE MOTION
VECTOR AND PARAMETRIC MODELS OF PROJECTILE MOTION by C. C. Edwards Coastal Carolina University, Conway, SC Edwards@coastal.edu (Please feel free to email me questions and /or comments.) Key Topic: Parametric,
More informationphysics 111N work & energy
physics 111N work & energy conservation of energy entirely gravitational potential energy kinetic energy turning into gravitational potential energy gravitational potential energy turning into kinetic
More informationOne and Twodimensional Motion
PHYS101 LAB02 One and Twodimensional Motion 1. Objective The objectives of this experiment are: to measure the acceleration of gravity using onedimensional motion to demonstrate the independence of
More informationSupplemental Questions
Supplemental Questions The fastest of all fishes is the sailfish. If a sailfish accelerates at a rate of 14 (km/hr)/sec [fwd] for 4.7 s from its initial velocity of 42 km/h [fwd], what is its final velocity?
More informationTIME OF COMPLETION DEPARTMENT OF NATURAL SCIENCES. PHYS 1111, Exam 2 Section 1 Version 1 October 30, 2002 Total Weight: 100 points
TIME OF COMPLETION NAME DEPARTMENT OF NATURAL SCIENCES PHYS 1111, Exam 2 Section 1 Version 1 October 30, 2002 Total Weight: 100 points 1. Check your examination for completeness prior to starting. There
More informationChapter 3 Falling Objects and Projectile Motion
Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave
More informationAP Physics Newton's Laws Practice Test
AP Physics Newton's Laws Practice Test Answers: A,D,C,D,C,E,D,B,A,B,C,C,A,A 15. (b) both are 2.8 m/s 2 (c) 22.4 N (d) 1 s, 2.8 m/s 16. (a) 12.5 N, 3.54 m/s 2 (b) 5.3 kg 1. Two blocks are pushed along a
More informationPROBLEM SET. Practice Problems for Exam #1. Math 2350, Fall 2004. Sept. 30, 2004 ANSWERS
PROBLEM SET Practice Problems for Exam #1 Math 350, Fall 004 Sept. 30, 004 ANSWERS i Problem 1. The position vector of a particle is given by Rt) = t, t, t 3 ). Find the velocity and acceleration vectors
More informationC B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N
Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a
More informationDiscussion Session 1
Physics 102 Fall 2016 NAME: Discussion Session 1 Math Review and Temperature The goal of Physics is to explain the Universe in terms of equations, and so the ideas of mathematics are central to your success
More informationChapter 4. Kinematics  Velocity and Acceleration. 4.1 Purpose. 4.2 Introduction
Chapter 4 Kinematics  Velocity and Acceleration 4.1 Purpose In this lab, the relationship between position, velocity and acceleration will be explored. In this experiment, friction will be neglected.
More informationPhysics Kinematics Model
Physics Kinematics Model I. Overview Active Physics introduces the concept of average velocity and average acceleration. This unit supplements Active Physics by addressing the concept of instantaneous
More informationCS100B Fall 1999. Professor David I. Schwartz. Programming Assignment 5. Due: Thursday, November 18 1999
CS100B Fall 1999 Professor David I. Schwartz Programming Assignment 5 Due: Thursday, November 18 1999 1. Goals This assignment will help you develop skills in software development. You will: develop software
More informationIn order to describe motion you need to describe the following properties.
Chapter 2 One Dimensional Kinematics How would you describe the following motion? Ex: random 1D path speeding up and slowing down In order to describe motion you need to describe the following properties.
More information3.1. Quadratic Equations and Models. Quadratic Equations Graphing Techniques Completing the Square The Vertex Formula Quadratic Models
3.1 Quadratic Equations and Models Quadratic Equations Graphing Techniques Completing the Square The Vertex Formula Quadratic Models 3.11 Polynomial Function A polynomial function of degree n, where n
More informationPractice Test SHM with Answers
Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one
More information2008 FXA DERIVING THE EQUATIONS OF MOTION 1. Candidates should be able to :
Candidates should be able to : Derive the equations of motion for constant acceleration in a straight line from a velocitytime graph. Select and use the equations of motion for constant acceleration in
More informationReview Assessment: Lec 02 Quiz
COURSES > PHYSICS GUEST SITE > CONTROL PANEL > 1ST SEM. QUIZZES > REVIEW ASSESSMENT: LEC 02 QUIZ Review Assessment: Lec 02 Quiz Name: Status : Score: Instructions: Lec 02 Quiz Completed 20 out of 100 points
More informationAP Physics C. Oscillations/SHM Review Packet
AP Physics C Oscillations/SHM Review Packet 1. A 0.5 kg mass on a spring has a displacement as a function of time given by the equation x(t) = 0.8Cos(πt). Find the following: a. The time for one complete
More informationDefinition: A vector is a directed line segment that has and. Each vector has an initial point and a terminal point.
6.1 Vectors in the Plane PreCalculus 6.1 VECTORS IN THE PLANE Learning Targets: 1. Find the component form and the magnitude of a vector.. Perform addition and scalar multiplication of two vectors. 3.
More informationKE =? v o. Page 1 of 12
Page 1 of 12 CTEnergy1. A mass m is at the end of light (massless) rod of length R, the other end of which has a frictionless pivot so the rod can swing in a vertical plane. The rod is initially horizontal
More informationWorksheet to Review Vector and Scalar Properties
Worksheet to Review Vector and Scalar Properties 1. Differentiate between vectors and scalar quantities 2. Know what is being requested when the question asks for the magnitude of a quantity 3. Define
More information2. Right Triangle Trigonometry
2. Right Triangle Trigonometry 2.1 Definition II: Right Triangle Trigonometry 2.2 Calculators and Trigonometric Functions of an Acute Angle 2.3 Solving Right Triangles 2.4 Applications 2.5 Vectors: A Geometric
More informationPhysics Midterm Review Packet January 2010
Physics Midterm Review Packet January 2010 This Packet is a Study Guide, not a replacement for studying from your notes, tests, quizzes, and textbook. Midterm Date: Thursday, January 28 th 8:1510:15 Room:
More informationThe Ballistic Pendulum
1 The Ballistic Pendulum Introduction: By this time, you have probably become familiar with the concepts of work, energy, and potential energy, in the lecture part of the course. In this lab, we will be
More informationBE VERY CAREFUL WHENEVER THE LAUNCHER IS IN THE COMPRESSED POSITION. ALWAYS NOTIFY THE CLASS BEFORE FIRING THE LAUNCHER.
OBJECTIVES: LAB #5: THE BALLISTIC PENDULUM To study the dynamics of a ballistic pendulum using the laws of conservation of momentum and energy. EQUIPMENT: Equipment Needed Qty Equipment Needed Qty Ballistic
More information8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential
8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential energy, e.g. a ball in your hand has more potential energy
More informationIMPORTANT NOTE ABOUT WEBASSIGN:
Week 8 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution
More informationPhysics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE
1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object
More informationAP Physics Energy and Springs
AP Physics Energy and Springs Another major potential energy area that AP Physics is enamored of is the spring (the wire coil deals, not the ones that produce water for thirsty humanoids). Now you ve seen
More informationPhysics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension
Physics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension Conceptual Questions 1) Suppose that an object travels from one point in space to another. Make
More information1. How long does it take the sound of thunder to go 1,600 meters (~1 mile) traveling at an average speed of 330 meters / sec? (4.
LHWHS Physics Unit One  Motion (Kinematics) HW #2...Sept 9 NAME ANSWERS 1. How long does it take the sound of thunder to go 1,600 meters (~1 mile) traveling at an average speed of 330 meters / sec? (4.85
More informationThe SternGerlach Experiment
Chapter The SternGerlach Experiment Let us now talk about a particular property of an atom, called its magnetic dipole moment. It is simplest to first recall what an electric dipole moment is. Consider
More informationF = ma. F = G m 1m 2 R 2
Newton s Laws The ideal models of a particle or point mass constrained to move along the xaxis, or the motion of a projectile or satellite, have been studied from Newton s second law (1) F = ma. In the
More informationThe BulletBlock Mystery
LivePhoto IVV Physics Activity 1 Name: Date: 1. Introduction The BulletBlock Mystery Suppose a vertically mounted 22 Gauge rifle fires a bullet upwards into a block of wood (shown in Fig. 1a). If the
More informationF f v 1 = c100(10 3 ) m h da 1h 3600 s b =
14 11. The 2Mg car has a velocity of v 1 = 100km>h when the v 1 100 km/h driver sees an obstacle in front of the car. It takes 0.75 s for him to react and lock the brakes, causing the car to skid. If
More informationVECTORS. A vector is a quantity that has both magnitude and direction.
VECTOS Definition: A vector is a quantity that has both magnitude and direction. NOTE: The position of a vector has no bearing on its definition. A vector can be slid horizontally or vertically without
More informationPhysics of Sports CTY Course Syllabus
Physics of Sports CTY Course Syllabus Texts: 1. Gold Medal Physics: The Science of Sports, by Arthur John Eric Goff 2. Active Physics: An Inquiry Approach to Physics, by Arthur Eisenkraft Course Schedule:
More information356 CHAPTER 12 Bob Daemmrich
Standard 7.3.17: Investigate that an unbalanced force, acting on an object, changes its speed or path of motion or both, and know that if the force always acts toward the same center as the object moves,
More informationTrigonometry. An easy way to remember trigonometric properties is:
Trigonometry It is possible to solve many force and velocity problems by drawing vector diagrams. However, the degree of accuracy is dependent upon the exactness of the person doing the drawing and measuring.
More informationEXERCISE 24.2 (PAGE 549)
1 New Additional Mathematics by Pan Pacific Publishing EXERCISE 24.2 (PAGE 549) QUESTION NO. 1 A river is flowing at 4 m/sec due south. A boat, whose speed in still water is 3 m/sec, is steered in the
More informationChapter 6 Quadratic Functions
Chapter 6 Quadratic Functions Determine the characteristics of quadratic functions Sketch Quadratics Solve problems modelled b Quadratics 6.1Quadratic Functions A quadratic function is of the form where
More informationPhysics 201 Homework 8
Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 Nm is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kgm 2. What is the
More informationG U I D E T O A P P L I E D O R B I T A L M E C H A N I C S F O R K E R B A L S P A C E P R O G R A M
G U I D E T O A P P L I E D O R B I T A L M E C H A N I C S F O R K E R B A L S P A C E P R O G R A M CONTENTS Foreword... 2 Forces... 3 Circular Orbits... 8 Energy... 10 Angular Momentum... 13 FOREWORD
More informationHSC Mathematics  Extension 1. Workshop E4
HSC Mathematics  Extension 1 Workshop E4 Presented by Richard D. Kenderdine BSc, GradDipAppSc(IndMaths), SurvCert, MAppStat, GStat School of Mathematics and Applied Statistics University of Wollongong
More informationScience Project. Ideal Trajectory of Air Pump Rockets
Science Project Ideal Trajectory of Air Pump Rockets Physics Lopez Island High School March 3, 2014 Fletcher Moore Abstract This experiment uses model air rockets to test the ideal trajectory a rocket
More informationPhysics Section 3.2 Free Fall
Physics Section 3.2 Free Fall Aristotle Aristotle taught that the substances making up the Earth were different from the substance making up the heavens. He also taught that dynamics (the branch of physics
More informationMidterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m
Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed
More informationAP Physics B Practice Workbook Book 1 Mechanics, Fluid Mechanics and Thermodynamics
AP Physics B Practice Workbook Book 1 Mechanics, Fluid Mechanics and Thermodynamics. The following( is applicable to this entire document copies for student distribution for exam preparation explicitly
More informationPHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?
1. Which one of the following statements concerning kinetic energy is true? A) Kinetic energy can be measured in watts. B) Kinetic energy is always equal to the potential energy. C) Kinetic energy is always
More informationRELEASED. Student Booklet. Precalculus. Fall 2014 NC Final Exam. Released Items
Released Items Public Schools of North arolina State oard of Education epartment of Public Instruction Raleigh, North arolina 276996314 Fall 2014 N Final Exam Precalculus Student ooklet opyright 2014
More informationPHY231 Section 1, Form B March 22, 2012
1. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate
More informationANSWER KEY. Reviewing Physics: The Physical Setting THIRD EDITION. Amsco School Publications, Inc. 315 Hudson Street / New York, N.Y.
NSWER KEY Reviewing Physics: The Physical Setting THIRD EDITION msco School Publications, Inc. 315 Hudson Street / New York, N.Y. 10013 N 7310 CD Manufactured in the United States of merica 1345678910
More informationAcceleration due to Gravity
Acceleration due to Gravity 1 Object To determine the acceleration due to gravity by different methods. 2 Apparatus Balance, ball bearing, clamps, electric timers, meter stick, paper strips, precision
More informationConceptual Questions: Forces and Newton s Laws
Conceptual Questions: Forces and Newton s Laws 1. An object can have motion only if a net force acts on it. his statement is a. true b. false 2. And the reason for this (refer to previous question) is
More information32 Projectile Motion
32 Projectile Motion Vocabulary Projectile: An object that moves through space acted upon only by Earth s gravity. A projectile may start at a given height and move toward the ground in an arc. For example,
More informationJournal of Engineering Science and Technology Review 2 (1) (2009) 7681. Lecture Note
Journal of Engineering Science and Technology Review 2 (1) (2009) 7681 Lecture Note JOURNAL OF Engineering Science and Technology Review www.jestr.org Time of flight and range of the motion of a projectile
More informationWork. Work = Force x parallel distance (parallel component of displacement) F v
Work Work = orce x parallel distance (parallel component of displacement) W k = d parallel d parallel Units: N m= J = " joules" = ( kg m2/ s2) = average force computed over the distance r r When is not
More information5 PROJECTILES. 5.0 Introduction. Objectives
5 PROJECTILES Chapter 5 Projectiles Objectives After studying this chapter you should recognise that projectile motion is common; understand how to obtain a simple mathematical model of projectile motion;
More information1. Mass, Force and Gravity
STE Physics Intro Name 1. Mass, Force and Gravity Before attempting to understand force, we need to look at mass and acceleration. a) What does mass measure? The quantity of matter(atoms) b) What is the
More informationIntroduction to Vectors
Introduction to Vectors A vector is a physical quantity that has both magnitude and direction. An example is a plane flying NE at 200 km/hr. This vector is written as 200 Km/hr at 45. Another example is
More informationSolutions to old Exam 1 problems
Solutions to old Exam 1 problems Hi students! I am putting this old version of my review for the first midterm review, place and time to be announced. Check for updates on the web site as to which sections
More informationClass XI Chapter 5 Complex Numbers and Quadratic Equations Maths. Exercise 5.1. Page 1 of 34
Question 1: Exercise 5.1 Express the given complex number in the form a + ib: Question 2: Express the given complex number in the form a + ib: i 9 + i 19 Question 3: Express the given complex number in
More informationChapter 9 Party Planner
Name: Date:. Given A 53, B 78, and a 6., use the Law of Sines to solve the triangle for the value of b. Round answer to two decimal places. C b a A c b sin a B sin A b 6. sin 78 sin 53 6.sin 78 b sin 53
More informationAP1 Dynamics. Answer: (D) foot applies 200 newton force to nose; nose applies an equal force to the foot. Basic application of Newton s 3rd Law.
1. A mixed martial artist kicks his opponent in the nose with a force of 200 newtons. Identify the actionreaction force pairs in this interchange. (A) foot applies 200 newton force to nose; nose applies
More informationEnergy and Momentum Conservation The Ballistic Pendulum
Energy and Momentum Conservation The Ballistic Pendulum I. Introduction. In this experiment we will test the principles of conservation of energy and conservation of momentum. A ball is shot into a cup
More information