Lecture 12! Center of mass! Uniform circular motion!
|
|
- Erick Stevenson
- 6 years ago
- Views:
Transcription
1 Lecture 1 Center of mass Uniform circular motion
2 Today s Topics: Center of mass Uniform circular motion Centripetal acceleration and force Banked cures
3 Define the center of mass The center of mass is a point that represents the aerage location for the total mass of a system. m x x 1 1 cm m m m x For linear motion, we can consider all of the mass of the object to be concentrated at the center of mass.
4 Center of mass simplifies calculations inoling conseration of momentum for combined linear and rotational motion, the CM of an object is the point that obeys the linear equations of motion we hae deeloped DEMO: Shape
5 What if there are more than Oxygen y Oxygen objects? nm 60.0 o Sulfur 60.0 o nm x A sulfur dioxide molecule consists of oxygen atoms and a sulfur atom. The sulfur atom is twice as massie as the oxygen atom. Find the x and y coordinates of the center of mass of this molcule 1. Find the x and y components of all atoms with respect to the origin (sulfur atom) x-coordinate y-coordinate Oxygen atom (on the left) x 1 (0.143 nm) sin nm Oxygen atom (on the right) x +(0.143 nm) sin nm y 1 +(0.143 nm) cos nm y +(0.143 nm) cos nm Sulfur atom x 3 0 nm y 3 0 nm
6 Let m 1 and m represent the masses of the oxygen atoms on the left and right, respectiely. Likewise, let m 3 be the mass of the sulfur atom. The x-coordinate of the center of mass is x cm m x + m x + m x m 1( 0.14 nm) + m nm m 1 + m + m 3 m 1 + m + m 3 Oxygen nm o o ( ) + m 3 ( 0 nm) y Sulfur Oxygen nm x Since m 1 m (both are oxygen atoms), the equation aboe yields x cm 0 m The y-coordinate of the center of mass is y cm m y + m y + m y m 1 ( nm) + m nm m 1 + m + m 3 m 1 + m + m 3 ( ) + m 3 ( 0 nm) Substituting m 1 m m and m 3 m into the equation aboe yields y cm m ( nm) + m ( nm) + m( 0 nm) m + m + m nm
7 Continuous mass distributions Use symmetry CM somewhere along this line The CM need not be inside the object For a system composed of multiple parts with symmetry, first condense each part to its CM and then treat each CM as a pointlike particle kg 1 kg kg 1 kg CM
8 Velocity of the center of mass Δx cm m 1 Δx 1 + m Δx m 1 + m cm m m m 1 + m p 1 + p m 1 + m p total m total In an isolated system, the total linear momentum does not change, therefore the elocity of the center of mass does not change.
9 A stationary 4-kg shell explodes into three pieces. Two of the fragments hae a mass of 1 kg each and moe along the paths shown with a speed of 10 m/s. The third fragment moes upward as shown. kg What is the speed of the third fragment? Momentum along x and y must be consered,so (kg)( y y 5 m/s ) (1kg)(10m/s)(cos60 ) kg 1 kg 10 m/s 10 m/s What is the speed of the center of mass of this system after the explosion? (a) zero m/s (b) 1 m/s (c) 3 m/s (d) 5 m/s (e)7 m/s
10 Uniform Circular Motion Uniform circular motion is the motion of an object traeling at a constant speed on a circular path. Let T be the time it takes for the object to trael once around the circle. π T r T is also known as the period of the motion
11 Example A ball moes with a constant speed of 4 m/s around a circle of radius 0.5 m. What is the period of the motion? T πr T πr π (0.5 m) 4 m/s 0.4 s
12 Circular Motion In uniform circular motion, the speed is constant, but the direction of the elocity ector is not constant. So een if the speed is constant, there has to be an acceleration. centripetal acceleration What is the direction and magnitude of this centripetal acceleration?
13 Centripetal acceleration 0 Δ 0 F a Δ c Δt Δ F 0 a c r The centripetal acceleration in uniform circular motion points to the center of the circle. a c r rˆ ˆr is a unit ector that points radially away from the origin
14 Example 1 A racecar is traeling at constant speed around a circular track. What happens to the centripetal acceleration of the car if the speed is doubled? (a) The centripetal acceleration remains the same. (b) The centripetal acceleration increases by a factor of. (c) The centripetal acceleration increases by a factor of 4. (d) The centripetal acceleration is decreased by a factor of one-half. (e) The centripetal acceleration is decreased by a factor of one-fourth a c r rˆ If 0, 4 0
15 Centripetal Force F a m The centripetal force is the net force required to keep an object moing on a circular path. The direction of the centripetal force always points toward the center of the circle and continually changes direction as the object moes. F c ma c m r rˆ
16 What s the origin of the Centripetal Force? A 0.5-kg ball attached to a string is rotating in a horizontal circle of radius 0.5 m. If the ball reoles twice eery second, what is the tension in the string? Here I am calculating the magnitude of F C F F T T πr T F c m r mac m r π (0.5 m) 0.5 s (0.5 kg) 6.8 m/s ( 6.8 m/s) 0.5 m 0 N In this case, it s the tension in the string
17 How about for a car going around a turn? On an unbanked cure, the static frictional force proides the centripetal force. Looking from behind f S F N mg
18 Or for a car going around a banked turn? On a frictionless banked cure, the centripetal force is the horizontal component of the normal force. The ertical component of the normal force balances the car s weight.
19 F c F sin θ N F cosθ mg N m r tan θ rg
20 An Amusement Park Ride A small child rides in a barrel of fun ride. The floor drops downward and the child remains pinned against the wall. If the radius of the deice is.15 m and the coefficient of static friction between the child and the wall is 0.400, with what minimum speed is the child moing if he is to remain pinned against the wall? F N f S mg F N m r f S max mg 0 µ S F N mg 0 µ S m r mg 0 rg µ S 7.6 m/s Notice does not depend on the mass of the child.
Lecture 12. Center of mass Uniform circular motion
Lecture 12 Center of mass Uniform circular motion Today s Topics: Center of mass Uniform circular motion Centripetal acceleration and force Banked curves Define the center of mass The center of mass is
More informationB) v `2. C) `2v. D) 2v. E) 4v. A) 2p 25. B) p C) 2p. D) 4p. E) 4p 2 25
1. 3. A ball attached to a string is whirled around a horizontal circle of radius r with a tangential velocity v. If the radius is changed to 2r and the magnitude of the centripetal force is doubled the
More informationA. unchanged increased B. unchanged unchanged C. increased increased D. increased unchanged
IB PHYSICS Name: DEVIL PHYSICS Period: Date: BADDEST CLASS ON CAMPUS CHAPTER B TEST REVIEW. A rocket is fired ertically. At its highest point, it explodes. Which one of the following describes what happens
More informationName St. Mary's HS AP Physics Circular Motion HW
Name St. Mary's HS AP Physics Circular Motion HW Base your answers to questions 1 and 2 on the following situation. An object weighing 10 N swings at the end of a rope that is 0.72 m long as a simple pendulum.
More informationPhysics Department Tutorial: Motion in a Circle (solutions)
JJ 014 H Physics (9646) o Solution Mark 1 (a) The radian is the angle subtended by an arc length equal to the radius of the circle. Angular elocity ω of a body is the rate of change of its angular displacement.
More informationONLINE: MATHEMATICS EXTENSION 2 Topic 6 MECHANICS 6.6 MOTION IN A CIRCLE
ONLINE: MAHEMAICS EXENSION opic 6 MECHANICS 6.6 MOION IN A CICLE When a particle moes along a circular path (or cured path) its elocity must change een if its speed is constant, hence the particle must
More informationCentripetal force. Objectives. Assessment. Assessment. Equations. Physics terms 5/13/14
Centripetal force Objecties Describe and analyze the motion of objects moing in circular motion. Apply Newton s second law to circular motion problems. Interpret free-body force diagrams. 1. A race car
More informationJURONG JUNIOR COLLEGE Physics Department Tutorial: Motion in a Circle
JURONG JUNIOR COLLEGE Physics Department Tutorial: Motion in a Circle Angular elocity 1 (a) Define the radian. [1] (b) Explain what is meant by the term angular elocity. [1] (c) Gie the angular elocity
More informationPhysics Teach Yourself Series Topic 2: Circular motion
Physics Teach Yourself Series Topic : Circular motion A: Leel 14, 474 Flinders Street Melbourne VIC 3000 T: 1300 134 518 W: tssm.com.au E: info@tssm.com.au TSSM 013 Page 1 of 7 Contents What you need to
More informationFriction is always opposite to the direction of motion.
6. Forces and Motion-II Friction: The resistance between two surfaces when attempting to slide one object across the other. Friction is due to interactions at molecular level where rough edges bond together:
More informationAP Physics Free Response Practice Dynamics
AP Physics Free Response Practice Dynamics 14) In the system shown above, the block of mass M 1 is on a rough horizontal table. The string that attaches it to the block of mass M 2 passes over a frictionless
More informationCircular Motion. - The velocity is tangent to the path and perpendicular to the radius of the circle
Circular Motion Level : Physics Teacher : Kim 1. Uniform Circular Motion - According to Newton s 1 st law, an object in motion will move in a straight line at a constant speed unless an unbalance force
More informationPhysics 23 Exam 2 March 3, 2009
Use the following to answer question 1: A stationary 4-kg shell explodes into three pieces. Two of the fragments have a mass of 1 kg each and move along the paths shown with a speed of 10 m/s. The third
More informationCircular Motion Class:
Circular Motion Class: Name: Date: 1. What is the magnitude of the centripetal acceleration of a 4-kilogram mass orbiting at 10 meters per second with a radius of 2 meters? (1) 5 m/sec 2 (2) 50 m/sec 2
More informationPhysics 4A Solutions to Chapter 4 Homework
Physics 4A Solutions to Chapter 4 Homework Chapter 4 Questions: 4, 1, 1 Exercises & Problems: 5, 11, 3, 7, 8, 58, 67, 77, 87, 11 Answers to Questions: Q 4-4 (a) all tie (b) 1 and tie (the rocket is shot
More informationUNDERSTAND MOTION IN ONE AND TWO DIMENSIONS
SUBAREA I. COMPETENCY 1.0 UNDERSTAND MOTION IN ONE AND TWO DIMENSIONS MECHANICS Skill 1.1 Calculating displacement, aerage elocity, instantaneous elocity, and acceleration in a gien frame of reference
More informationLinear Momentum and Collisions Conservation of linear momentum
Unit 4 Linear omentum and Collisions 4.. Conseration of linear momentum 4. Collisions 4.3 Impulse 4.4 Coefficient of restitution (e) 4.. Conseration of linear momentum m m u u m = u = u m Before Collision
More informationPhysics 111: Mechanics Lecture 9
Physics 111: Mechanics Lecture 9 Bin Chen NJIT Physics Department Circular Motion q 3.4 Motion in a Circle q 5.4 Dynamics of Circular Motion If it weren t for the spinning, all the galaxies would collapse
More information= M. L 2. T 3. = = cm 3
Phys101 First Major-1 Zero Version Sunday, March 03, 013 Page: 1 Q1. Work is defined as the scalar product of force and displacement. Power is defined as the rate of change of work with time. The dimension
More informationCIRCULAR MOTION. Challenging MCQ questions by The Physics Cafe. Compiled and selected by The Physics Cafe
IRULAR MOTION hallenging MQ questions by The Physics afe ompiled and selected by The Physics afe 1 A car is making a turn at speed. The radius of the turn is r and the centripetal force on the car is F.
More informationYour Thoughts. What is the difference between elastic collision and inelastic collision?
Your Thoughts This seemed pretty easy...before we got the checkpoint questions What is the difference between elastic collision and inelastic collision? The most confusing part of the pre lecture was the
More informationEXAMPLE: Accelerometer
EXAMPLE: Accelerometer A car has a constant acceleration of.0 m/s. A small ball of mass m = 0.50 kg attached to a string hangs from the ceiling. Find the angle θ between the string and the vertical direction.
More informationRutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 8. Home Page. Title Page. Page 1 of 35.
Rutgers University Department of Physics & Astronomy 01:750:271 Honors Physics I Fall 2015 Lecture 8 Page 1 of 35 Midterm 1: Monday October 5th 2014 Motion in one, two and three dimensions Forces and Motion
More informationUniform circular motion: Review
Announcements: 1 st test at Lockett #6 (6:00PM, Feb 3 rd ) Formula sheet will be provided No other materials is needed Practice exam and answers are on the web Uniform circular motion: Review As you go
More informationENGINEERING COUNCIL DYNAMICS OF MECHANICAL SYSTEMS D225 TUTORIAL 3 CENTRIPETAL FORCE
ENGINEERING COUNCIL DYNAMICS OF MECHANICAL SYSTEMS D5 TUTORIAL CENTRIPETAL FORCE This tutorial examines the relationship between inertia and acceleration. On completion of this tutorial you should be able
More informationAP Physics Multiple Choice Practice Gravitation
AP Physics Multiple Choice Practice Graitation. Each of fie satellites makes a circular orbit about an object that is much more massie than any of the satellites. The mass and orbital radius of each satellite
More informationLast Time: Start Rotational Motion (now thru mid Nov) Basics: Angular Speed, Angular Acceleration
Last Time: Start Rotational Motion (now thru mid No) Basics: Angular Speed, Angular Acceleration Today: Reiew, Centripetal Acceleration, Newtonian Graitation i HW #6 due Tuesday, Oct 19, 11:59 p.m. Exam
More informationPower. Power is the time rate at which work W is done by a force Average power. (energy per time) P = dw/dt = (Fcosφ dx)/dt = F v cosφ= F.
Power Power is the time rate at which work W is done by a force Aerage power P ag = W/ t Instantaneous power (energy per time) P = dw/dt = (Fcosφ dx)/dt = F cosφ= F. Unit: watt 1 watt = 1 W = 1 J/s 1 horsepower
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics Physics 111.6 MIDTERM TEST #2 November 16, 2000 Time: 90 minutes NAME: STUDENT NO.: (Last) Please Print (Given) LECTURE SECTION
More informationPeriod: Date: Review - UCM & Energy. Page 1. Base your answers to questions 1 and 2 on the information and diagram below.
Base your answers to questions 1 and 2 on the information and diagram below. The diagram shows the top view of a -kilogram student at point A on an amusement park ride. The ride spins the student in a
More information(35+70) 35 g (m 1+m 2)a=m1g a = 35 a= =3.27 g 105
Coordinator: Dr. W. L-Basheer Monday, March 16, 2015 Page: 1 Q1. 70 N block and a 35 N block are connected by a massless inextendable string which is wrapped over a frictionless pulley as shown in Figure
More informationOn my honor, I have neither given nor received unauthorized aid on this examination.
Instructor(s): Field/Furic PHYSICS DEPARTENT PHY 2053 Exam 1 October 5, 2011 Name (print, last first): Signature: On my honor, I hae neither gien nor receied unauthorized aid on this examination. YOUR
More informationLaws of Motion. Multiple Choice Questions
The module presented herein is a sequel to MCQs on different units in Physics, a few viz. Rotational motion and Oscillations etc. posted earlier. The contents of the documents are intended to give the
More informationAP Physics Homework. pg 155: 1, 5, 13, 14, 15, 48, and 55
AP Physics Hoework pg 155: 1, 5, 13, 14, 15, 48, and 55 1. A light string can support a stationary hanging load of 25.0kg before breaking. A 3.00kg object attached to the string rotates on a horizontal,
More informationInformation. Complete Ch 6 on Force and Motion Begin Ch 7 on Work and Energy
Information Lecture today Complete Ch 6 on Force and Motion Begin Ch 7 on Work and Energy Exam in one week will emphasize material up through chapter 6. Chapter 7 material (work, energy, ) will not be
More informationThe number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 72.
ADVANCED GCE UNIT 76/ MATHEMATICS (MEI Mechanics MONDAY MAY 7 Additional materials: Answer booklet (8 pages Graph paper MEI Examination Formulae and Tables (MF Morning Time: hour minutes INSTRUCTIONS TO
More information1 A car moves around a circular path of a constant radius at a constant speed. Which of the following statements is true?
Slide 1 / 30 1 car moves around a circular path of a constant radius at a constant speed. Which of the following statements is true? The car s velocity is constant The car s acceleration is constant The
More informationFOCUS ON CONCEPTS Section 7.1 The Impulse Momentum Theorem
WEEK-6 Recitation PHYS 3 FOCUS ON CONCEPTS Section 7. The Impulse Momentum Theorem Mar, 08. Two identical cars are traeling at the same speed. One is heading due east and the other due north, as the drawing
More information( m/s) 2 4(4.9 m/s 2 )( 52.7 m)
Version 072 idterm 2 OConnor (05141) 1 This print-out should have 18 questions ultiple-choice questions may continue on the next column or page find all choices before answering V1:1, V2:1, V3:3, V4:5,
More information( m/s) 2 4(4.9 m/s 2 )( 53.2 m)
Version 074 idterm 2 OConnor (05141) 1 This print-out should have 18 questions ultiple-choice questions may continue on the next column or page find all choices before answering V1:1, V2:1, V3:3, V4:5,
More informationCircular Motion and Universal Law of Gravitation. 8.01t Oct 4, 2004
Circular Motion and Universal Law of Gravitation 8.01t Oct 4, 2004 Summary: Circular Motion arc length s= Rθ tangential velocity ds v = = dt dθ R = Rω dt 2 d θ 2 dt tangential acceleration a θ = dv θ =
More informationExtra Circular Motion Questions
Extra Circular Motion Questions Elissa is at an amusement park and is driving a go-cart around a challenging track. Not being the best driver in the world, Elissa spends the first 10 minutes of her go-cart
More informationA. B. C. D. E. v x. ΣF x
Q4.3 The graph to the right shows the velocity of an object as a function of time. Which of the graphs below best shows the net force versus time for this object? 0 v x t ΣF x ΣF x ΣF x ΣF x ΣF x 0 t 0
More information1. A baseball player throws a ball horizontally. Which statement best describes the ball's motion after it is thrown? [Neglect the effect of
1. A baseball player throws a ball horizontally. Which statement best describes the ball's motion after it is thrown? [Neglect the effect of friction.] A) Its vertical speed remains the same, and its horizontal
More information9.3 Worked Examples Circular Motion
9.3 Worked Examples Circular Motion Example 9.1 Geosynchronous Orbit A geostationary satellite goes around the earth once every 3 hours 56 minutes and 4 seconds, (a sidereal day, shorter than the noon-to-noon
More informationChapter 6. Force and motion II
Chapter 6. Force and motion II Friction Static friction Sliding (Kinetic) friction Circular motion Physics, Page 1 Summary of last lecture Newton s First Law: The motion of an object does not change unless
More informationChapter 5 Review : Circular Motion; Gravitation
Chapter 5 Review : Circular Motion; Gravitation Conceptual Questions 1) Is it possible for an object moving with a constant speed to accelerate? Explain. A) No, if the speed is constant then the acceleration
More informationAP Physics Chapter 9 QUIZ
AP Physics Chapter 9 QUIZ Name:. The graph at the right shows the force on an object of mass M as a function of time. For the time interal 0 to 4 seconds, the total change in the momentum of the object
More informationUniform Circular Motion
Slide 1 / 112 Uniform Circular Motion 2009 by Goodman & Zavorotniy Slide 2 / 112 Topics of Uniform Circular Motion (UCM) Kinematics of UCM Click on the topic to go to that section Period, Frequency, and
More informationCircular Motion and Gravitation Practice Test Provincial Questions
Circular Motion and Gravitation Practice Test Provincial Questions 1. A 1 200 kg car is traveling at 25 m s on a horizontal surface in a circular path of radius 85 m. What is the net force acting on this
More informationCircular Motion (Chapter 5)
Circular Motion (Chapter 5) So far we have focused on linear motion or motion under gravity (free-fall). Question: What happens when a ball is twirled around on a string at constant speed? Ans: Its velocity
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Common Quiz Mistakes / Practice for Final Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A ball is thrown directly upward and experiences
More informationPhys101 Second Major-152 Zero Version Coordinator: Dr. W. Basheer Monday, March 07, 2016 Page: 1
Phys101 Second Major-15 Zero Version Coordinator: Dr. W. Basheer Monday, March 07, 016 Page: 1 Q1. Figure 1 shows two masses; m 1 = 4.0 and m = 6.0 which are connected by a massless rope passing over a
More informationPhysics 1: Mechanics
Physics 1: Mechanics Đào Ngọc Hạnh Tâm Office: A1.53, Email: dnhtam@hcmiu.edu.n HCMIU, Vietnam National Uniersity Acknowledgment: Most of these slides are supported by Prof. Phan Bao Ngoc credits (3 teaching
More informationTo Feel a Force Chapter 13
o Feel a Force Chapter 13 Chapter 13:. A. Consequences of Newton's 2nd Law for a human being he forces acting on a human being are balanced in most situations, resulting in a net external force of zero.
More informationDynamics II Motion in a Plane. Review Problems
Dynamics II Motion in a Plane Review Problems Problem 1 A 500 g model rocket is on a cart that is rolling to the right at a speed of 3.0 m/s. The rocket engine, when it is fired, exerts an 8.0 N thrust
More informationAP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force).
AP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force). 1981M1. A block of mass m, acted on by a force of magnitude F directed horizontally to the
More informationPSI AP Physics B Circular Motion
PSI AP Physics B Circular Motion Multiple Choice 1. A ball is fastened to a string and is swung in a vertical circle. When the ball is at the highest point of the circle its velocity and acceleration directions
More informationMultiple Choice (A) (B) (C) (D)
Multiple Choice 1. A ball is fastened to a string and is swung in a vertical circle. When the ball is at the highest point of the circle its velocity and acceleration directions are: (A) (B) (C) (D) 2.
More informationMAGNETIC EFFECTS OF CURRENT-3
MAGNETIC EFFECTS OF CURRENT-3 [Motion of a charged particle in Magnetic field] Force On a Charged Particle in Magnetic Field If a particle carrying a positie charge q and moing with elocity enters a magnetic
More informationCutnell/Johnson Physics
Cutnell/Johnson Physics Classroom Response System Questions Chapter 5 Dynamics of Uniform Circular Motion Interactive Lecture Questions 5.1.1. An airplane flying at 115 m/s due east makes a gradual turn
More informationPhys101 Second Major-173 Zero Version Coordinator: Dr. M. Al-Kuhaili Thursday, August 02, 2018 Page: 1. = 159 kw
Coordinator: Dr. M. Al-Kuhaili Thursday, August 2, 218 Page: 1 Q1. A car, of mass 23 kg, reaches a speed of 29. m/s in 6.1 s starting from rest. What is the average power used by the engine during the
More informationPhysics 207 Lecture 11. Lecture 11. Chapter 8: Employ rotational motion models with friction or in free fall
Goals: Lecture 11 Chapter 8: Employ rotational motion models with friction or in free fall Chapter 9: Momentum & Impulse Understand what momentum is and how it relates to forces Employ momentum conservation
More informationCHAPTER 7 CIRCULAR MOTION
CHAPTER 7 CIRCULAR MOTION 1 Describing Circular Motion Picture of Uniform Circular Motion Is the object accelerating? Linear speed vs Angular Speed Period of Rotation Page 1 2 Centripetal Acceleration
More informationCircular Motion.
1 Circular Motion www.njctl.org 2 Topics of Uniform Circular Motion (UCM) Kinematics of UCM Click on the topic to go to that section Period, Frequency, and Rotational Velocity Dynamics of UCM Vertical
More informationPhysics 2211 M Quiz #2 Solutions Summer 2017
Physics 2211 M Quiz #2 Solutions Summer 2017 I. (16 points) A block with mass m = 10.0 kg is on a plane inclined θ = 30.0 to the horizontal, as shown. A balloon is attached to the block to exert a constant
More informationLecture 10. Example: Friction and Motion
Lecture 10 Goals: Exploit Newton s 3 rd Law in problems with friction Employ Newton s Laws in 2D problems with circular motion Assignment: HW5, (Chapter 7, due 2/24, Wednesday) For Tuesday: Finish reading
More informationCircular Motion & Gravitation FR Practice Problems
1) A mass m is attached to a length L of string and hung straight strainght down from a pivot. Small vibrations at the pivot set the mass into circular motion, with the string making an angle θ with the
More informationAlgebra Based Physics Uniform Circular Motion
1 Algebra Based Physics Uniform Circular Motion 2016 07 20 www.njctl.org 2 Uniform Circular Motion (UCM) Click on the topic to go to that section Period, Frequency and Rotational Velocity Kinematics of
More informationCircular Motion Act. Centripetal Acceleration and. SPH3UW: Circular Motion, Pg 1 -> SPH3UW: Circular Motion, Pg 2. Page 1. Uniform Circular Motion
SPH3UW Centripetal Acceleration and Circular Motion Uniform Circular Motion What does it mean? How do we describe it? What can we learn about it? SPH3UW: Circular Motion, Pg 1 SPH3UW: Circular Motion,
More informationLecture 5. Dynamics. Forces: Newton s First and Second
Lecture 5 Dynamics. Forces: Newton s First and Second What is a force? It s a pull or a push: F F Force is a quantitative description of the interaction between two physical bodies that causes them to
More informationChapter 5. A rock is twirled on a string at a constant speed. The direction of its acceleration at point P is A) B) P C) D)
A 1500 kg car travels at a constant speed of 22 m/s around a circular track which has a radius of 80 m. Which statement is true concerning this car? A) The velocity of the car is changing. B) The car is
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.01 Physics Fall Term Exam 2 Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 801 Physics Fall Term 013 Problem 1 of 4 (5 points) Exam Solutions Answers without work shown will not be given any credit A block of mass m
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Diagram 1 A) B - A. B) A - B. C) A + B. D) A B.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) In the diagram shown, the unknown vector is 1) Diagram 1 A) B - A. B) A - B. C) A + B.
More informationFamily Name: Given Name: Student number:
Family Name: Given Name: Student number: Academic Honesty: In accordance with the Academic Honesty Policy (T0.02), academic dishonesty in any form will not be tolerated. Prohibited acts include, but are
More informationUpon collision, the clay and steel block stick together and move to the right with a speed of
1. A 2.0-kilogram ball traveling north at 4.0 meters per second collides head on with a 1.0-kilogram ball traveling south at 8.0 meters per second. What is the magnitude of the total momentum of the two
More informationPhys101 Second Major-162 Zero Version Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: N Ans:
Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: 1 Q1. Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 20 N, acting due east, and the other
More informationPhysics 12. Unit 5 Circular Motion and Gravitation Part 1
Physics 12 Unit 5 Circular Motion and Gravitation Part 1 1. Nonlinear motions According to the Newton s first law, an object remains its tendency of motion as long as there is no external force acting
More informationLecture PowerPoints. Chapter 5 Physics for Scientists & Engineers, with Modern Physics, 4 th edition. Giancoli
Lecture PowerPoints Chapter 5 Physics for Scientists & Engineers, with Modern Physics, 4 th edition 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely
More information1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3
1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.
More informationChapter 8. Centripetal Force and The Law of Gravity
Chapter 8 Centripetal Force and The Law of Gravity Centripetal Acceleration An object traveling in a circle, even though it moves with a constant speed, will have an acceleration The centripetal acceleration
More informationa by a factor of = 294 requires 1/T, so to increase 1.4 h 294 = h
IDENTIFY: If the centripetal acceleration matches g, no contact force is required to support an object on the spinning earth s surface. Calculate the centripetal (radial) acceleration /R using = πr/t to
More informationAP Physics 1 Lesson 9 Homework Outcomes. Name
AP Physics 1 Lesson 9 Homework Outcomes Name Date 1. Define uniform circular motion. 2. Determine the tangential velocity of an object moving with uniform circular motion. 3. Determine the centripetal
More informationSt. Joseph s Anglo-Chinese School
Time allowed:.5 hours Take g = 0 ms - if necessary. St. Joseph s Anglo-Chinese School 008 009 First Term Examination Form 6 ASL Physics Section A (40%) Answer ALL questions in this section. Write your
More informationHonors Physics Review
Honors Physics Review Work, Power, & Energy (Chapter 5) o Free Body [Force] Diagrams Energy Work Kinetic energy Gravitational Potential Energy (using g = 9.81 m/s 2 ) Elastic Potential Energy Hooke s Law
More informationPHYSICS (B) v 2 r. v r
PHYSICS 1. If Q be the amount of liquid (iscosity ) flowing per second through a capillary tube of radius r and length l under a pressure difference P, then which of the following relation is correct?
More informationPhysics 101: Lecture 08. Common Incorrect Forces (Spooky Rules!) Items below are NOT forces Acceleration: F Net = ma Centripetal Acceleration
Physics 101: Lecture 08 Circular Motion Review of Newton s Laws Checkpoint 4, Lecture 7 In the game of tetherball, a rope connects a ball to the top of a vertical pole as shown. In one case, a ball of
More informationConservation of Momentum in Two Dimensions
Conseration of Momentum in Two Dimensions Name Section Linear momentum p is defined as the product of the mass of an object and its elocity. If there is no (or negligible) external force in a collision,
More informationChapter 5 Gravitation Chapter 6 Work and Energy
Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 (5.6) Newton s Law of Universal Gravitation (5.7) Gravity Near the Earth s Surface Chapter 6 (today) Work Done by a Constant Force Kinetic Energy,
More informationPhys101 Second Major-162 Zero Version Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: 1
Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: 1 Q1. Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 20 N, acting due east, and the other
More information(a) Taking the derivative of the position vector with respect to time, we have, in SI units (m/s),
Chapter 4 Student Solutions Manual. We apply Eq. 4- and Eq. 4-6. (a) Taking the deriatie of the position ector with respect to time, we hae, in SI units (m/s), d ˆ = (i + 4t ˆj + tk) ˆ = 8tˆj + k ˆ. dt
More informationCircular Motion Dynamics Concept Questions
Circular Motion Dynamics Concept Questions Problem 1: A puck of mass m is moving in a circle at constant speed on a frictionless table as shown above. The puck is connected by a string to a suspended bob,
More informationAP* Circular & Gravitation Free Response Questions
1992 Q1 AP* Circular & Gravitation Free Response Questions A 0.10-kilogram solid rubber ball is attached to the end of a 0.80-meter length of light thread. The ball is swung in a vertical circle, as shown
More informationAP Physics Daily Problem #31
AP Physics Daily Problem #31 A 10kg mass is whirled around on the end of a 3m long cord. The speed of the mass is 7m/s. Ignore gravitational forces. 3.0m 7.0m/s Draw a free body diagram of the mass. (hint:
More informationFree-body diagrams. a. Find the acceleration of mass 2. b. Determine the magnitude of the tension in the string.
Free-body diagrams 1. wo blocks of masses m1 = 5.0 kg and m =.0 kg hang on both sides of an incline, connected through an ideal, massless string that goes through an ideal, massless pulley, as shown below.
More informationUCM-Circular Motion. Base your answers to questions 1 and 2 on the information and diagram below.
Base your answers to questions 1 and 2 on the information and diagram The diagram shows the top view of a 65-kilogram student at point A on an amusement park ride. The ride spins the student in a horizontal
More informationExam 1 Solutions. PHY 2048 Spring 2014 Acosta, Rinzler. Note that there are several variations of some problems, indicated by choices in parentheses.
Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 Let vector a! = 4î + 3 ĵ and vector b! = î + 2 ĵ (or b! = î + 4 ĵ ). What is the
More informationSPH4UIW The Circle Centripetal Acceleration and Circular Motion Round Round
SPH4UIW Centripetal Acceleration and Circular Motion The Circle Bablonian Numbers And ou thought our homework was difficult SPH4UIW: Circular Motion, Pg 1 SPH4UIW: Circular Motion, Pg ound ound SPH4UIW:
More informationCenter of Mass & Linear Momentum
PHYS 101 Previous Exam Problems CHAPTER 9 Center of Mass & Linear Momentum Center of mass Momentum of a particle Momentum of a system Impulse Conservation of momentum Elastic collisions Inelastic collisions
More informationWelcome back to Physics 211
Welcome back to Physics 211 Today s agenda: Weight Friction Tension 07-1 1 Current assignments Thursday prelecture assignment. HW#7 due this Friday at 5 pm. 07-1 2 Summary To solve problems in mechanics,
More information