Physics 113 Exam #4 Angular momentum, static equilibrium, universal gravitation, fluid mechanics, oscillatory motion (first part)


 Eleanor May
 2 years ago
 Views:
Transcription
1 Physics 113 Exam #4 Angular momentum, static equilibrium, universal gravitation, fluid mechanics, oscillatory motion (first part) Answer all questions on this examination. You must show all equations, show all work and explicitly state all assumptions to receive full credit. Credit will not be given for work not shown. If the answer is not unitless, be sure to state the units as part of the answer. If dimensional analysis is required to solve the problem, be sure to show how you did it. If you use trigonometric functions, be sure to draw a figure showing the relevant triangles (sides and angles) involved. Remember to consider significant figures. Make sure that you clearly show your process and the reasons behind each step in your process, so that you can earn more partial credit. The backs of the question sheets are available for solving problems or for scribbling notes. Constants and equations that you might find useful are provided on a separate handout. Please do not write on that handout. You must turn in your exam at 9:55 am, so the next class can assemble. When you are finished, please turn this examination in to the professor or proctor. Wake Forest University is an academic community that subscribes to an honor system. By accepting membership in this community, each student assumes the obligation to be trustworthy in all pursuits. I have neither given nor received aid on this examination. Printed name: Signature: Question 1. Multiple choice questions please circle the correct answer. Be sure to circle clearly just one answer. (18 points total; 2 points each) a. A competitive diver leaves the diving board and falls toward the water with his body straight and rotating slowly. As he falls, he pulls his arms and legs into a tight tuck position, rotating as shown in the figure. What happens to his angular speed? Increases Decreases Stays the same Impossible to determine b. Consider the same diver as above. What happens to the rotational kinetic energy of his body when he moves into the tuck position? Increases Decreases Stays the same Impossible to determine Page 1
2 c. Consider the same diver. What is the direction of this same diver s angular momentum? Upward Downward Out of the page Into the page d. The pressure at the bottom of a filled glass of water ( ρ = 1000 kg/m 3 ) is P. The water is poured out and the glass is filled to the same level with ethyl alcohol (ρ = 806 kg/m 3 ). Which of the following best describes the pressure at the bottom of the glass? Equal to P Larger than P Smaller than P Impossible to determine e. You observe two helium balloons floating next to each other at the ends of strings secured to a table. The facing surfaces of the balloons are separated by 12 cm. You blow through the small space between the balloons. What happens to the balloons? They move away from each other. They are unaffected. They move toward each other. f. An apple is held completely submerged just below the surface of water in a container. The apple is then moved to a deeper point in the water. Compared with the force needed to hold the apple just below the surface, what is the force needed to hold it at the deeper point? Smaller Larger The same Impossible to determine g. Which of the following statements is true about the relationship between the magnitude of the cross product of two vectors and the product of the magnitudes of the vectors? A X B could be larger than AB A X B could be smaller than AB A X B is equal to AB None of these answers is correct. Page 2
3 h. A block on the end of a spring is pulled from its equilibrium position (x=0) to a position x=a and it is released at time t=0. In one full cycle of its motion, through what total distance does it travel? A/2 A 2A 4A None of these answers is correct. i. Consider the same block as the previous question. If the phase constant for this same block on the end of the spring is 0, what is the position of the block at time t=0? A/2 A 2A 4A None of these answers is correct. Question 2. (9 points; 4 for each numerical answer and one for the explanation.) Calculate your weight two different ways using Newton s universal law of gravitation and Newton s second law. Compare your two answers. If both methods gave you the same answer, explain why. If the methods gave you different answers, explain why. Page 3
4 Question 3. (6 points; 2 points each) A satellite originally moves in a circular orbit of radius R around the Earth. Suppose it is moved into a circular orbit of radius 4R. Answer these three questions about the satellite. Select your answer from the list on the right and mark the letter of the answer in the space provided. What does the gravitational force exerted on the satellite become at the new orbit? What happens to the speed of the satellite? What happens to its period? a. 16 times larger b. 8 times larger c. 4 times larger d. 2 times larger e. unchanged f. 1/2 as large g. 1/4 as large h. 1/8 as large i. 1/16 as large Question 4. (6 points; 3 points each) Two vectors are given by vector A = (2 î + 5 ĵ ) and vector B = (3 î + 2 ĵ ). a. Find A X B. b. Find the angle between A and B. Page 4
5 Question 5. (9 points; 3 points each) After our sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state, in which it has approximately the same mass as it has now, but a radius equal to the radius of the earth. Calculate the following: a. The average density of this white dwarf. b. The freefall acceleration at its surface. c. The gravitational potential energy of a 1.00 kg object at its surface. Page 5
6 Question 6. (8 points; 4 points each) Assume that Young's Modulus for bone is 1.50 x N/m 2 and that the bone will fracture if more than 1.50 x 10 8 N/m 2 of pressure is exerted. a. What is the maximum compressive force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.60 cm? b. If a force of this magnitude is applied compressively, by how much does the 22.0 cm long bone shorten? Page 6
7 Question 7. (14 points; 5 points for FBD and 8 points for three equations and terms) A ladder is leaning against a wall, as shown in the picture. a. Draw a free body diagram for the ladder. Describe each force as the type of force, its origin, and what the force is acting on. b. Write the complete equations that must be satisfied for the ladder to be at equilibrium: ΣF y, ΣF x, Στ. (Be explicit in defining any terms or stating any assumptions necessary to write these equations.) Page 7
8 Question 8. (10 points; 4 points each for a and b, 2 points for c) Model the Earth as a uniform sphere. a. Calculate the angular momentum of the Earth due to its spinning motion (rotation) about its axis. (Full credit requires giving both the magnitude and direction of the momentum. Give the direction in terms of geographical locations, i.e. up or down are not a good answers. You may draw a sketch to justify your answer for the direction.) b. Calculate the angular momentum of the Earth due to its orbital motion (revolution) about the Sun. (Full credit requires giving both the magnitude and direction of the momentum. Give the direction in terms of geographical locations, i.e. up or down are not good answers. You may draw a sketch to justify your answer for the direction.) c. Compare the two quantities of angular momentum. Which is larger in magnitude? Page 8
9 Question 9. (4 points) The figure shows overhead views of a uniform disk that can move linearly or rotate about its center. Three forces of magnitudes F, 2F and 3F act on the disk, either in the center, on the rim or halfway in between as shown. Which disks (if any) are in equilibrium? e. None of these disks is in equilibrium. Question 10. (8 points) In a hurricane, the air (density = 1.29 kg/m 3 ) is blowing over the flat roof of a shed at a speed of 120 km/hr. If the roof area is 110 m 2, what is the lifting force on the roof? Page 9
10 Question 11. (8 points) A 6 kg mass is suspended by a string so that it is submerged beneath a liquid of unknown density. The tension in the string is measured to be 45 N. Find the ratio of the liquid density to the density of the submerged mass. (Work through the equations first, and then include numbers. For full credit, you will arrive at a numerical answer for this question.) If you are finished, go back to each of the questions and make sure you answered the questions that were asked. Don t make this test harder than it is. Page 10
P113 University of Rochester NAME S. Manly Fall 2013
Final Exam (December 19, 2013) Please read the problems carefully and answer them in the space provided. Write on the back of the page, if necessary. Show all your work. Partial credit will be given unless
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A lawn roller in the form of a uniform solid cylinder is being pulled horizontally by a horizontal
More informationEndofChapter Exercises
EndofChapter Exercises Exercises 1 12 are conceptual questions that are designed to see if you have understood the main concepts of the chapter. 1. Figure 11.20 shows four different cases involving a
More informationPhys214 exam#2 (30 problems in total. 5 points each, total 150 points. )
Phys214 exam#2 (30 problems in total. 5 points each, total 150 points. ) 1. An oil tanker heading due west, straight into a strong wind, reaches a speed of 5 m/s and then shuts down its engines to drift.
More informationPhysics 131: Test/Exam Problems: Rotations
Physics 131: Test/Exam Problems: Rotations 1) A uniform onemeter bar has a mass of 10 kg. One end of the bar is hinged to a building, and the other end is suspended by a cable that makes an angle of 45
More informationSo if ω 0 increases 3fold, the stopping angle increases 3 2 = 9fold.
Name: MULTIPLE CHOICE: Questions 111 are 5 points each. 1. A safety device brings the blade of a power mower from an angular speed of ω 1 to rest in 1.00 revolution. At the same constant angular acceleration,
More informationNo Brain Too Small PHYSICS. 2 kg
MECHANICS: ANGULAR MECHANICS QUESTIONS ROTATIONAL MOTION (2014;1) Universal gravitational constant = 6.67 10 11 N m 2 kg 2 (a) The radius of the Sun is 6.96 10 8 m. The equator of the Sun rotates at a
More informationcircular motion & gravitation physics 111N
circular motion & gravitation physics 111N uniform circular motion an object moving around a circle at a constant rate must have an acceleration always perpendicular to the velocity (else the speed would
More informationUnderstanding the motion of the Universe. Motion, Force, and Gravity
Understanding the motion of the Universe Motion, Force, and Gravity Laws of Motion Stationary objects do not begin moving on their own. In the same way, moving objects don t change their movement spontaneously.
More informationPhysics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
More informationGeneral Physics Physics 101 Test #3 Spring 2013 Friday 4/12/13 Prof. Bob Ekey
General Physics Physics 101 Test #3 Spring 2013 Friday 4/12/13 Prof. Bob Ekey Name (print): I hereby declare upon my word of honor that I have neither given nor received unauthorized help on this work.
More informationCentripetal Force. 1. Introduction
1. Introduction Centripetal Force When an object travels in a circle, even at constant speed, it is undergoing acceleration. In this case the acceleration acts not to increase or decrease the magnitude
More informationPhysics 211 Week 12. Simple Harmonic Motion: Equation of Motion
Physics 11 Week 1 Simple Harmonic Motion: Equation of Motion A mass M rests on a frictionless table and is connected to a spring of spring constant k. The other end of the spring is fixed to a vertical
More informationPhysics1 Recitation3
Physics1 Recitation3 The Laws of Motion 1) The displacement of a 2 kg particle is given by x = At 3/2. In here, A is 6.0 m/s 3/2. Find the net force acting on the particle. (Note that the force is time
More information3600 s 1 h. 24 h 1 day. 1 day
Week 7 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 informationAP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same
A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that
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 informationHomework 4. problems: 5.61, 5.67, 6.63, 13.21
Homework 4 problems: 5.6, 5.67, 6.6,. Problem 5.6 An object of mass M is held in place by an applied force F. and a pulley system as shown in the figure. he pulleys are massless and frictionless. Find
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 informationVersion PREVIEW Practice 8 carroll (11108) 1
Version PREVIEW Practice 8 carroll 11108 1 This printout should have 12 questions. Multiplechoice questions may continue on the net column or page find all choices before answering. Inertia of Solids
More informationCenter of Mass/Momentum
Center of Mass/Momentum 1. 2. An Lshaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the Lshaped
More informationLecture 15. Torque. Center of Gravity. Rotational Equilibrium. Cutnell+Johnson:
Lecture 15 Torque Center of Gravity Rotational Equilibrium Cutnell+Johnson: 9.19.3 Last time we saw that describing circular motion and linear motion is very similar. For linear motion, we have position
More informationEQUILIBRIUM AND ELASTICITY
Chapter 12: EQUILIBRIUM AND ELASTICITY 1 A net torque applied to a rigid object always tends to produce: A linear acceleration B rotational equilibrium C angular acceleration D rotational inertia E none
More informationChapter 8: Rotational Motion of Solid Objects
Chapter 8: Rotational Motion of Solid Objects 1. An isolated object is initially spinning at a constant speed. Then, although no external forces act upon it, its rotational speed increases. This must be
More information1. Newton s Laws of Motion and their Applications Tutorial 1
1. Newton s Laws of Motion and their Applications Tutorial 1 1.1 On a planet far, far away, an astronaut picks up a rock. The rock has a mass of 5.00 kg, and on this particular planet its weight is 40.0
More informationphysics 111N rotational motion
physics 111N rotational motion rotations of a rigid body! suppose we have a body which rotates about some axis! we can define its orientation at any moment by an angle, θ (any point P will do) θ P physics
More informationROLLING, TORQUE, AND ANGULAR MOMENTUM
Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 1 A wheel rolls without sliding along a horizontal road as shown The velocity of the center of the wheel is represented by! Point P is painted on the rim
More informationF mg (10.1 kg)(9.80 m/s ) m
Week 9 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 information第 1 頁, 共 8 頁 Chap12&Chap13 1. *Chapter 12, Problem 25 In Fig. 1240, what magnitude of force applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h =
More informationExplaining Motion:Forces
Explaining Motion:Forces Chapter Overview (Fall 2002) A. Newton s Laws of Motion B. Free Body Diagrams C. Analyzing the Forces and Resulting Motion D. Fundamental Forces E. Macroscopic Forces F. Application
More informationAN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2001 APPLIED MATHEMATICS HIGHER LEVEL
M3 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 00 APPLIED MATHEMATICS HIGHER LEVEL FRIDAY, JUNE AFTERNOON,.00 to 4.30 Six questions to be answered. All questions carry equal marks.
More informationA. 81 2 = 6561 times greater. B. 81 times greater. C. equally strong. D. 1/81 as great. E. (1/81) 2 = 1/6561 as great.
Q12.1 The mass of the Moon is 1/81 of the mass of the Earth. Compared to the gravitational force that the Earth exerts on the Moon, the gravitational force that the Moon exerts on the Earth is A. 81 2
More informationRotation, Rolling, Torque, Angular Momentum
Halliday, Resnick & Walker Chapter 10 & 11 Rotation, Rolling, Torque, Angular Momentum Physics 1A PHYS1121 Professor Michael Burton Rotation 101 Rotational Variables! The motion of rotation! The same
More informationChapter 13. Gravitation
Chapter 13 Gravitation 13.2 Newton s Law of Gravitation In vector notation: Here m 1 and m 2 are the masses of the particles, r is the distance between them, and G is the gravitational constant. G = 6.67
More informationCh 6 Forces. Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79
Ch 6 Forces Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79 Friction When is friction present in ordinary life?  car brakes  driving around a turn  walking  rubbing your hands together
More informationAAPT UNITED STATES PHYSICS TEAM AIP F = ma Contest 25 QUESTIONS  75 MINUTES INSTRUCTIONS
2014 F = ma Exam 1 AAPT UNITED STATES PHYSICS TEAM AIP 2014 2014 F = ma Contest 25 QUESTIONS  75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD TO BEGIN Use g = 10 N/kg throughout this
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 informationPhysics Midterm Review. MultipleChoice Questions
Physics Midterm Review MultipleChoice Questions 1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B. 22.5 km C. 25 km D. 45 km E. 50 km 2. A bicyclist moves
More informationLab 8: Buoyancy and Archimedes Principle
Description Lab 8: Buoyancy and Archimedes Principle In this lab, you will explore the force that displacing a fluid (liquid or gas) will exert on the body displacing the fluid. You will study how the
More informationSample Questions for the AP Physics 1 Exam
Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiplechoice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each
More informationChapter 3.8 & 6 Solutions
Chapter 3.8 & 6 Solutions P3.37. Prepare: We are asked to find period, speed and acceleration. Period and frequency are inverses according to Equation 3.26. To find speed we need to know the distance traveled
More informationLesson 5 Rotational and Projectile Motion
Lesson 5 Rotational and Projectile Motion Introduction: Connecting Your Learning The previous lesson discussed momentum and energy. This lesson explores rotational and circular motion as well as the particular
More informationRotational Mechanics  1
Rotational Mechanics  1 The Radian The radian is a unit of angular measure. The radian can be defined as the arc length s along a circle divided by the radius r. s r Comparing degrees and radians 360
More informationAP1 Oscillations. 1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
More informationChapter 4  Forces and Newton s Laws of Motion w./ QuickCheck Questions
Chapter 4  Forces and Newton s Laws of Motion w./ QuickCheck Questions 2015 Pearson Education, Inc. Anastasia Ierides Department of Physics and Astronomy University of New Mexico September 8, 2015 Review
More informationFirst Semester Learning Targets
First Semester Learning Targets 1.1.Can define major components of the scientific method 1.2.Can accurately carry out conversions using dimensional analysis 1.3.Can utilize and convert metric prefixes
More information2. (P2.1 A) a) A car travels 150 km in 3 hours, what is the cars average speed?
Physics: Review for Final Exam 1 st Semester Name Hour P2.1A Calculate the average speed of an object using the change of position and elapsed time 1. (P2.1 A) What is your average speed if you run 140
More informationPhysics 1A Lecture 10C
Physics 1A Lecture 10C "If you neglect to recharge a battery, it dies. And if you run full speed ahead without stopping for water, you lose momentum to finish the race. Oprah Winfrey Static Equilibrium
More informationCh. 5, Force and MotionI
Ch. 5, Force and MotionI Newton s First Law Force Mass Newton s Second Law (Newton s Third Law Next Thursday) Isaac Newton s work represents one of the greatest contributions to science ever made by an
More information2 rad c. π rad d. 1 rad e. 2π rad
Name: Class: Date: Exam 4PHYS 101F14 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A wheel, initially at rest, rotates with a constant acceleration
More informationWorksheet for Exploration 14.1: Floating and Density
Worksheet for Exploration 14.1: Floating and Density How can a boat made out of a material more dense than water float? The block has a mass of 0.185 kg (position is given in centimeters). If this block
More informationUnification of the laws of the Earth and the Universe Why do planets appear to wander slowly across the sky?
October 19, 2015 Unification of the laws of the Earth and the Universe Why do planets appear to wander slowly across the sky? Key Words Newton s Laws of motion, and Newton s law of universal gravitation:
More informationChapter 3: Force and Motion
Force and Motion Cause and Effect Chapter 3 Chapter 3: Force and Motion Homework: All questions on the Multiple Choice and the oddnumbered questions on Exercises sections at the end of the chapter. In
More informationState Newton's second law of motion for a particle, defining carefully each term used.
5 Question 1. [Marks 20] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding
More informationPhysics 2101, First Exam, Fall 2007
Physics 2101, First Exam, Fall 2007 September 4, 2007 Please turn OFF your cell phone and MP3 player! Write down your name and section number in the scantron form. Make sure to mark your answers in the
More informationChapter 5 Newton s Laws of Motion
Chapter 5 Newton s Laws of Motion Sir Isaac Newton (1642 1727) Developed a picture of the universe as a subtle, elaborate clockwork slowly unwinding according to welldefined rules. The book Philosophiae
More information5.2 Rotational Kinematics, Moment of Inertia
5 ANGULAR MOTION 5.2 Rotational Kinematics, Moment of Inertia Name: 5.2 Rotational Kinematics, Moment of Inertia 5.2.1 Rotational Kinematics In (translational) kinematics, we started out with the position
More informationAN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000
M31 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000 APPLIED MATHEMATICS  ORDINARY LEVEL FRIDAY, 23 JUNE  AFTERNOON, 2.00 to 4.30 Six questions to be answered. All questions
More informationSolutions to Homework Set #10 Phys2414 Fall 2005
Solution Set #0 Solutions to Homework Set #0 Phys244 Fall 2005 Note: The numbers in the boxes correspond to those that are generated by WebAssign. The numbers on your individual assignment will vary. Any
More informationRotational Motion. Symbol Units Symbol Units Position x (m) θ (rad) (m/s) " = d# Source of Parameter Symbol Units Parameter Symbol Units
Introduction Rotational Motion There are many similarities between straightline motion (translation) in one dimension and angular motion (rotation) of a rigid object that is spinning around some rotation
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 informationPHY1 Review for Exam 5
Topics 1. Uniform circular Motion a. Centripetal acceleration b. Centripetal force c. Horizontal motion d. ertical motion e. Circular motion with an angle 2. Universal gravitation a. Gravitational force
More informationSatellites and Space Stations
Satellites and Space Stations A satellite is an object or a body that revolves around another object, which is usually much larger in mass. Natural satellites include the planets, which revolve around
More information9 ROTATIONAL DYNAMICS
CHAPTER 9 ROTATIONAL DYNAMICS CONCEPTUAL QUESTIONS 1. REASONING AND SOLUTION The magnitude of the torque produced by a force F is given by τ = Fl, where l is the lever arm. When a long pipe is slipped
More informationChapter 6 Circular Motion, Orbits and Gravity
Chapter 6 Circular Motion, Orbits and Gravity Topics: The kinematics of uniform circular motion The dynamics of uniform circular motion Circular orbits of satellites Newton s law of gravity Sample question:
More informationChapter 4 Dynamics: Newton s Laws of Motion. Copyright 2009 Pearson Education, Inc.
Chapter 4 Dynamics: Newton s Laws of Motion Force Units of Chapter 4 Newton s First Law of Motion Mass Newton s Second Law of Motion Newton s Third Law of Motion Weight the Force of Gravity; and the Normal
More informationLinear Centripetal Tangential speed acceleration acceleration A) Rω Rω 2 Rα B) Rω Rα Rω 2 C) Rω 2 Rα Rω D) Rω Rω 2 Rω E) Rω 2 Rα Rω 2 Ans: A
1. Two points, A and B, are on a disk that rotates about an axis. Point A is closer to the axis than point B. Which of the following is not true? A) Point B has the greater speed. B) Point A has the lesser
More informationIf something is spinning, it moves more quickly if it. d is farther from the center of rotation. For instance, θ
The Big Idea The third conservation law is conservation of angular momentum. This can be roughly understood as spin, more accurately it is rotational velocity multiplied by rotational inertia. In any closed
More informationPHYS 211 FINAL FALL 2004 Form A
1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each
More informationwww.mathsbox.org.uk Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx Acceleration Velocity (v) Displacement x
Mechanics 2 : Revision Notes 1. Kinematics and variable acceleration Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx differentiate a = dv = d2 x dt dt dt 2 Acceleration Velocity
More informationClicker Questions Chapter 10
Clicker Questions Chapter 10 2010 Pearson Education, Inc. Essential College Physics Rex/Wolfson Question 10.1 Density If one material has a higher density than another, does this mean that the molecules
More informationApplication of Newton s Second Law Challenge Problem Solutions
Problem 1: Painter on a Platform Application of Newton s Second Law Challenge Problem Solutions A painter of mass m 1 stands on a platform of mass m 2 and pulls himself up by two ropes that run over massless
More informationI will post the cheat sheet and the answers in the next day or so. I will also post some additional?s for gravity.
PH 161 & 171 FINAL  Preview This cumulative final will be closed book, notes and neighbor. You may use your calculator. You have two hours to complete the exam. You must put your name & exam color on
More informationName: Date: PRACTICE QUESTIONS PHYSICS 201 FALL 2009 EXAM 2
Name: Date: PRACTICE QUESTIONS PHYSICS 201 FALL 2009 EXAM 2 1. A force accelerates a body of mass M. The same force applied to a second body produces three times the acceleration. What is the mass of the
More informationThree Methods for Calculating the Buoyant Force Gleue: Physics
Three Methods for Calculating the Buoyant Force Gleue: Physics Name Hr. The Buoyant Force (F b ) is the apparent loss of weight for an object submerged in a fluid. For example if you have an object immersed
More informationVersion 001 Quest 3 Forces tubman (20131) 1
Version 001 Quest 3 Forces tubman (20131) 1 This printout should have 19 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. l B Conceptual
More informationTennessee State University
Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an Fgrade. Other instructions will be given in the Hall. MULTIPLE CHOICE.
More informationCollege Physics 140 Chapter 4: Force and Newton s Laws of Motion
College Physics 140 Chapter 4: Force and Newton s Laws of Motion We will be investigating what makes you move (forces) and how that accelerates objects. Chapter 4: Forces and Newton s Laws of Motion Forces
More informationChapter 13: Universal Gravitation
Chapter 13: Universal Gravitation I. The Falling Apple (13.1) A. Isaac Newton (16421727) 1. Formulated ideas based on earlier work by Galileo (concept of inertia) 2. Concept if object undergoes change
More informationName Class Date. true
Exercises 131 The Falling Apple (page 233) 1 Describe the legend of Newton s discovery that gravity extends throughout the universe According to legend, Newton saw an apple fall from a tree and realized
More informationIs velocity constant? A = πr 2
Physics R Date: Circular Motion & Gravity Uniform Circular Motion What does uniform mean? Equations: (on reference table) Uniform circular motion means circular motion with C = 2πr = Is velocity constant?
More informationLab 9. Archimedes Principle and Applications. Upon successful completion of this exercise you will have...
Lab 9 Archimedes Principle and Applications Objectives: Upon successful completion of this exercise you will have... 1.... utilized Archimedes principle to determine the density and specific gravity of
More informationChapter Test. Teacher Notes and Answers Forces and the Laws of Motion. Assessment
Assessment Chapter Test A Teacher Notes and Answers Forces and the Laws of Motion CHAPTER TEST A (GENERAL) 1. c 2. d 3. d 4. c 5. c 6. c 7. c 8. b 9. d 10. d 11. c 12. a 13. d 14. d 15. b 16. d 17. c 18.
More informationGeneral Physics (PHY 2130)
General Physics (PHY 30) Lecture 3 Solids and fluids buoyant force Archimedes principle Fluids in motion http://www.physics.wayne.edu/~apetrov/phy30/ Lightning Review Last lecture:. Solids and fluids different
More information1. Units of a magnetic field might be: A. C m/s B. C s/m C. C/kg D. kg/c s E. N/C m ans: D
Chapter 28: MAGNETIC FIELDS 1 Units of a magnetic field might be: A C m/s B C s/m C C/kg D kg/c s E N/C m 2 In the formula F = q v B: A F must be perpendicular to v but not necessarily to B B F must be
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 informationUnit 4: Science and Materials in Construction and the Built Environment. Chapter 14. Understand how Forces act on Structures
Chapter 14 Understand how Forces act on Structures 14.1 Introduction The analysis of structures considered here will be based on a number of fundamental concepts which follow from simple Newtonian mechanics;
More information2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration.
2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration. Dynamics looks at the cause of acceleration: an unbalanced force. Isaac Newton was
More informationPhysics 271 FINAL EXAMSOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath
Physics 271 FINAL EXAMSOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath 1. The exam will last from 8:00 am to 11:00 am. Use a # 2 pencil to make entries on the answer sheet. Enter the following id information
More informationAngular velocity. Angular velocity measures how quickly the object is rotating. Average angular velocity. Instantaneous angular velocity
Angular velocity Angular velocity measures how quickly the object is rotating. Average angular velocity Instantaneous angular velocity Two coins rotate on a turntable. Coin B is twice as far from the axis
More informationPH 2211D Spring Force and Motion II. Lecture Chapter 6 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)
PH 2211D Spring 2013 Force and Motion II Lecture 1213 Chapter 6 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) Chapter 6 Force and Motion II In this chapter we will cover the following
More informationA satellite of mass 5.00x10² kg is in a circular orbit of radius 2r around Earth. Then it is moved to a circular orbit radius of 3r.
Supplemental Questions A satellite of mass 5.00x10² kg is in a circular orbit of radius 2r around Earth. Then it is moved to a circular orbit radius of 3r. (a) Determine the satellite s GPE in orbit. (b)
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 1 NONCONCURRENT COPLANAR FORCE SYSTEMS 1. Be able to determine the effects
More informationFig. 9: an immersed body in a fluid, experiences a force equal to the weight of the fluid it displaces.
Buoyancy Archimedes s 1 st laws of buoyancy: A body immersed in a fluid experiences a vertical buoyant force equal to the weight of the fluid it displaces, see Fig. 9 and 10. Fig. 9: an immersed body in
More informationSolution Derivations for Capa #11
Solution Derivations for Capa #11 1) A horizontal circular platform (M = 128.1 kg, r = 3.11 m) rotates about a frictionless vertical axle. A student (m = 68.3 kg) walks slowly from the rim of the platform
More informationUnit 4 Practice Test: Rotational Motion
Unit 4 Practice Test: Rotational Motion Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. How would an angle in radians be converted to an angle
More informationF = ma. F = mg. Forces. Forces. Free Body Diagrams. Find the unknown forces!! Ex. 1 Ex N. Newton s First Law. Newton s Second Law
Forces Free Body Diagrams Push or pull on an object Causes acceleration Measured in Newtons N = Kg m s Shows all forces as vectors acting on an object Vectors always point away from object Used to help
More informationUnited States Physics Team
United States Physics Team Entia non multiplicanda sunt praeter necessitatem 1997 Creative Response Portion of Exam 1 4 Questions, 60 Minutes INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD TO BEGIN
More informationUnderstanding the motion of the Universe. Motion, Force, and Gravity
Understanding the motion of the Universe Motion, Force, and Gravity Laws of Motion Stationary objects do not begin moving on their own. In the same way, moving objects don t change their movement spontaneously.
More informationf max s = µ s N (5.1)
Chapter 5 Forces and Motion II 5.1 The Important Stuff 5.1.1 Friction Forces Forces which are known collectively as friction forces are all around us in daily life. In elementary physics we discuss the
More information