HW1. N = ρv/m =

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "HW1. N = ρv/m ="

Transcription

1 1 HW1 1. Two spheres are cut from a certain uniform rock. One has radius r=5.0 cm. The mass of the other is eight times greater. Find its radius R. Since mass radius 3 R = r 8 1/3 = 10cm 2. The mass of a copper atom is m = kg, and the density of copper is ρ = 8920kg/m 3. (a) Determine the number of atoms in V = 1cm 3 of copper. N = ρv/m = (b) Visualize the one cubic centimeter as formed by stacking up identical cubes, with one copper atom at the center of each. Determine the volume of each cube. V/N = m 3 (c) Find the edge dimension of each cube, which represents an estimate for the spacing between atoms. ( ) 1/3 V = m N 3. Newton s law of universal gravitation is represented by F = GMm/r 2 where F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg m/s 2. What are the SI units of the proportionality constant G? [G] = [F]m 2 /kg 2 = m 3 /kg/s 2 4. Kinetic energy KE (Chapter 5) has dimensions kg m 2 /s 2. It can be written in terms of the momentum p (Chapter 6) and mass m as KE = p 2 /2m (a) Determine the proper units for momentum using dimensional analysis. (Use the following as necessary: kg, m, and s.) [p] = kg m/s (b) Given the units of force, write a simple equation relating a constant force F exerted on an object, an interval of time t during which the force is applied, and the resulting momentum of the object, p. Look for F t α p β with yet unknown α, β. Compare the dimensions: kg m/s 2 s α (kg m/s) β Thus, α = 1, β = 1 and Ft p

2 2 5. a) Assume the equation x = At 3 +Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.) [A] = L/T 3, [B] = L/T (b) Determine the dimensions of the derivative dx/dt = 3At 2 + B.(Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.) [dx/dt] = L/T 6. A rectangular building lot has a width of 72.5 ft and a length of 110 ft. Determine the area of this lot in square meters ft 2 = (0.305m) 2 = 740.9m 2 7. A solid piece of lead has a mass of g and a volume of 2.72 cm3. From these data, calculate the density of lead in SI units (kilograms per cubic meter). 1 kg/m (0.001 kg) 2.72 (0.01m) 3 = kg/m 3 8. Suppose your hair grows at the rate 1/31 in. per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly layers of atoms are assembled in this protein synthesis 1 in 31 day = nm s = 9.48nm/s 9. Find the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed). (Assume that the dimensions of the room are 4 m by 4 m by 3 m.) 10. a) Compute the order of magnitude of the mass of a bathtub half full of water. (Assume the tub measures 1.3 m by 0.5 m by 0.3 m.) 10 6 m = ρv 10 2 kg (b) Compute the order of magnitude of the mass of a bathtub half full of pennies. (Assume the pennies are made entirely of copper.) m = ρ Cu V 10 3 kg

3 11. A surveyor measures the distance across a straight river by the following method. Starting directly across from a tree on the opposite bank, she walks d = 92 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is θ = How wide is the river? d tanθ = 55.28m 12. The displacement vectors and shown in the figure below both have magnitudes of L=1.58 m. The direction of vector A is θ =38.8. y B 3 A Θ x a) Find C = A + B First, find components A = (L cos θ, L sin θ), B = (0, L) Then, C x = A x + B x = L cos θ = 1.23, C y = A y + B y = L sin θ + L = 2.57 magnitude Cx 2 + Cy 2 = 2.85 direction arctan(c y /C x ) = 64.4 o (b) Find C = A B C x = A x B x = L cos θ = 1.23 > 0, C y = A y B y = L sin θ L = 0.59 < 0 magnitude Cx 2 + Cy 2 = 1.37 direction arctan(c y /C x ) = (c) Find C = A + B C x = A x + B x = L cos θ < 0, C y = A y + B y = L sin θ + L > 0

4 4 magnitude C 2 x + C 2 y = 1.37 direction arctan(c y /C x ) = o Note: arctan is confined between ±90 o while angle is measured from 0 to 360. Hence the above corrections - need to look at the picture. 13. The polar coordinates of a point are r = 6.00 m and θ = 250. What are the Cartesian coordinates of this point? r = (x,y), x = r cos θ = 2.05m, y = r sin θ = 5.64m 14. Vector A has a magnitude of A=26 units and points in the positive y-direction. When vector B is added to A, the resultant vector C = A + B points in the negative y-direction with a magnitude of C=16 units. Find the magnitude of B? First, write in components A = (0,A), C = (0, C) Then and B = C A = (0 0, C A) = (0, C A) B = A + C = A vector r has an x component of units and a y component of 39.8 units. Find the magnitude and direction of this vector. magnitude r = x 2 + y 2 = direction θ = arctan(y/x) o = o counterclockwise from the +x axis 16. Use the component method to add the vectors and shown in the figure. The length of B is 3.55 m and the angle θ = Length of A is 3.0 m. Express the resultant in unit-vector notation. y B A Θ x

5 5 One has A = A cos θ i + A sin θ j = i j, B = B j = 3.55 j Then A + B = A cos θ i + A sin θ j + B j = A cos θ i + (A sin θ + B) j = 2.51 i j 17. Consider the two vectors A = i 3 j and B = i 4 j. (a) Calculate A + B = 0 i 7 j (b) Calculate (c) Calculate (d) Calculate A B = 2 i + j A + B = 7 A B = 5 (e) Calculate the directions of + and -. A + B : 270 o (counterclockwise from the +x axis) A B : 26.6 o (counterclockwise from the +x axis)

Units and Vectors: Tools for Physics

Units and Vectors: Tools for Physics Chapter 1 Units and Vectors: Tools for Physics 1.1 The Important Stuff 1.1.1 The SI System Physics is based on measurement. Measurements are made by comparisons to well defined standards which define the

More information

CHAPTER 3 THE STRUCTURE OF CRYSTALLINE SOLIDS PROBLEM SOLUTIONS

CHAPTER 3 THE STRUCTURE OF CRYSTALLINE SOLIDS PROBLEM SOLUTIONS CHAPTER THE STRUCTURE OF CRYSTALLINE SOLIDS PROBLEM SOLUTIONS Fundamental Concepts.6 Show that the atomic packing factor for HCP is 0.74. The APF is just the total sphere volume-unit cell volume ratio.

More information

Worked Examples from Introductory Physics Vol. I: Basic Mechanics. David Murdock Tenn. Tech. Univ.

Worked Examples from Introductory Physics Vol. I: Basic Mechanics. David Murdock Tenn. Tech. Univ. Worked Examples from Introductory Physics Vol. I: Basic Mechanics David Murdock Tenn. Tech. Univ. February 24, 2005 2 Contents To the Student. Yeah, You. i 1 Units and Vectors: Tools for Physics 1 1.1

More information

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are:

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are: Problem 1. (a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields as shown in the figure. (b) Repeat part (a), assuming the moving particle is

More information

charge is detonated, causing the smaller glider with mass M, to move off to the right at 5 m/s. What is the

charge 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, 2-D collisions, and center-of-mass, with some problems requiring

More information

Physics 1A Lecture 10C

Physics 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 information

Chapter 13. Gravitation

Chapter 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 information

General Physics 1. Class Goals

General Physics 1. Class Goals General Physics 1 Class Goals Develop problem solving skills Learn the basic concepts of mechanics and learn how to apply these concepts to solve problems Build on your understanding of how the world works

More information

IMPORTANT NOTE ABOUT WEBASSIGN:

IMPORTANT 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 information

W i f(x i ) x. i=1. f(x i ) x = i=1

W i f(x i ) x. i=1. f(x i ) x = i=1 Work Force If an object is moving in a straight line with position function s(t), then the force F on the object at time t is the product of the mass of the object times its acceleration. F = m d2 s dt

More information

Chapter 2. Preview. Section 1 What Is Matter? Section 2 Physical Properties. Section 3 Chemical Properties. The Properties of Matter.

Chapter 2. Preview. Section 1 What Is Matter? Section 2 Physical Properties. Section 3 Chemical Properties. The Properties of Matter. The Properties of Matter Preview Section 1 What Is Matter? Section 2 Physical Properties Section 3 Chemical Properties Concept Mapping Section 1 What Is Matter? Bellringer What do you think some of the

More information

Notes on Elastic and Inelastic Collisions

Notes on Elastic and Inelastic Collisions Notes on Elastic and Inelastic Collisions In any collision of 2 bodies, their net momentus conserved. That is, the net momentum vector of the bodies just after the collision is the same as it was just

More information

Chapter 18 Electric Forces and Electric Fields. Key Concepts:

Chapter 18 Electric Forces and Electric Fields. Key Concepts: Chapter 18 Lectures Monday, January 25, 2010 7:33 AM Chapter 18 Electric Forces and Electric Fields Key Concepts: electric charge principle of conservation of charge charge polarization, both permanent

More information

PHYSICAL QUANTITIES AND UNITS

PHYSICAL QUANTITIES AND UNITS 1 PHYSICAL QUANTITIES AND UNITS Introduction Physics is the study of matter, its motion and the interaction between matter. Physics involves analysis of physical quantities, the interaction between them

More information

Rotational inertia (moment of inertia)

Rotational inertia (moment of inertia) Rotational inertia (moment of inertia) Define rotational inertia (moment of inertia) to be I = Σ m i r i 2 or r i : the perpendicular distance between m i and the given rotation axis m 1 m 2 x 1 x 2 Moment

More information

CH-205: Fluid Dynamics

CH-205: Fluid Dynamics CH-05: Fluid Dynamics nd Year, B.Tech. & Integrated Dual Degree (Chemical Engineering) Solutions of Mid Semester Examination Data Given: Density of water, ρ = 1000 kg/m 3, gravitational acceleration, g

More information

C 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

C 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 information

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

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

More information

momentum change per impact The average rate of change of momentum = Time interval between successive impacts 2m x 2l / x m x m x 2 / l P = l 2 P = l 3

momentum change per impact The average rate of change of momentum = Time interval between successive impacts 2m x 2l / x m x m x 2 / l P = l 2 P = l 3 Kinetic Molecular Theory This explains the Ideal Gas Pressure olume and Temperature behavior It s based on following ideas:. Any ordinary sized or macroscopic sample of gas contains large number of molecules.

More information

Chapter 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. 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 information

Progetto Orientamento in rete

Progetto Orientamento in rete Progetto Orientamento in rete Unità 1: Newton s law of gravitation and Gravitational field Unità 2: Gravitational potential energy Unità 3: Coulomb s law and Electric field Unità 4: Magnetic field Prof.ssa

More information

Exemplar Problems Physics

Exemplar Problems Physics Chapter Eight GRAVITATION MCQ I 8.1 The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration

More information

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 ans: D

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 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 information

Physics 41 HW Set 1 Chapter 15

Physics 41 HW Set 1 Chapter 15 Physics 4 HW Set Chapter 5 Serway 8 th OC:, 4, 7 CQ: 4, 8 P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59, 67, 74 OC CQ P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59,

More information

Figure 1.1 Vector A and Vector F

Figure 1.1 Vector A and Vector F CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have

More information

Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE

Physics 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 information

XI / PHYSICS FLUIDS IN MOTION 11/PA

XI / PHYSICS FLUIDS IN MOTION 11/PA Viscosity It is the property of a liquid due to which it flows in the form of layers and each layer opposes the motion of its adjacent layer. Cause of viscosity Consider two neighboring liquid layers A

More information

E X P E R I M E N T 8

E X P E R I M E N T 8 E X P E R I M E N T 8 Torque, Equilibrium & Center of Gravity Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics, Exp 8:

More information

Physics 112 Homework 5 (solutions) (2004 Fall) Solutions to Homework Questions 5

Physics 112 Homework 5 (solutions) (2004 Fall) Solutions to Homework Questions 5 Solutions to Homework Questions 5 Chapt19, Problem-2: (a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields in Figure P19.2, as shown. (b) Repeat

More information

Chapter 1 Units, Physical Quantities, and Vectors

Chapter 1 Units, Physical Quantities, and Vectors Chapter 1 Units, Physical Quantities, and Vectors 1 The Nature of Physics Physics is an experimental science. Physicists make observations of physical phenomena. They try to find patterns and principles

More information

www.mathsbox.org.uk Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx Acceleration Velocity (v) Displacement x

www.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 information

QUESTIONS : CHAPTER-5: LAWS OF MOTION

QUESTIONS : CHAPTER-5: LAWS OF MOTION QUESTIONS : CHAPTER-5: LAWS OF MOTION 1. What is Aristotle s fallacy? 2. State Aristotlean law of motion 3. Why uniformly moving body comes to rest? 4. What is uniform motion? 5. Who discovered Aristotlean

More information

Universal Law of Gravitation

Universal Law of Gravitation Universal Law of Gravitation Law: Every body exerts a force of attraction on every other body. This force called, gravity, is relatively weak and decreases rapidly with the distance separating the bodies

More information

Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION

Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION 1 P a g e Inertia Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION The property of an object by virtue of which it cannot change its state of rest or of uniform motion along a straight line its own, is

More information

The Electric Force. From mechanics, the relationship for the gravitational force on an object is: m is the mass of the particle of interest,

The Electric Force. From mechanics, the relationship for the gravitational force on an object is: m is the mass of the particle of interest, . The Electric Force Concepts and Principles The Gravitational Analogy In introducing the concept of the electric field, I tried to illustrate it by drawing an analogy with the gravitational field, g.

More information

PHYSICS 111 HOMEWORK SOLUTION #10. April 10, 2013

PHYSICS 111 HOMEWORK SOLUTION #10. April 10, 2013 PHYSICS 111 HOMEWORK SOLUTION #10 April 10, 013 0.1 Given M = 4 i + j 3 k and N = i j 5 k, calculate the vector product M N. By simply following the rules of the cross product: i i = j j = k k = 0 i j

More information

Chapter 4. Forces and Newton s Laws of Motion. continued

Chapter 4. Forces and Newton s Laws of Motion. continued Chapter 4 Forces and Newton s Laws of Motion continued Clicker Question 4.3 A mass at rest on a ramp. How does the friction between the mass and the table know how much force will EXACTLY balance the gravity

More information

Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis

Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis * By request, but I m not vouching for these since I didn t write them Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis There are extra office hours today & tomorrow Lots of practice exams

More information

CHAPTER 24 GAUSS S LAW

CHAPTER 24 GAUSS S LAW CHAPTER 4 GAUSS S LAW 4. The net charge shown in Fig. 4-40 is Q. Identify each of the charges A, B, C shown. A B C FIGURE 4-40 4. From the direction of the lines of force (away from positive and toward

More information

Chapter Test B. Chapter: Measurements and Calculations

Chapter Test B. Chapter: Measurements and Calculations Assessment Chapter Test B Chapter: Measurements and Calculations PART I In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question. 1.

More information

AP PHYSICS C Mechanics - SUMMER ASSIGNMENT FOR 2016-2017

AP PHYSICS C Mechanics - SUMMER ASSIGNMENT FOR 2016-2017 AP PHYSICS C Mechanics - SUMMER ASSIGNMENT FOR 2016-2017 Dear Student: The AP physics course you have signed up for is designed to prepare you for a superior performance on the AP test. To complete material

More information

Physics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives

Physics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives Physics 9e/Cutnell correlated to the College Board AP Physics 1 Course Objectives Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring

More information

PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?

PHY231 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 information

1. Units and Prefixes

1. Units and Prefixes 1. Units and Prefixes SI units Units must accompany quantities at all times, otherwise the quantities are meaningless. If a person writes mass = 1, do they mean 1 gram, 1 kilogram or 1 tonne? The Système

More information

Fall 12 PHY 122 Homework Solutions #8

Fall 12 PHY 122 Homework Solutions #8 Fall 12 PHY 122 Homework Solutions #8 Chapter 27 Problem 22 An electron moves with velocity v= (7.0i - 6.0j)10 4 m/s in a magnetic field B= (-0.80i + 0.60j)T. Determine the magnitude and direction of the

More information

Physics 111: Lecture 4: Chapter 4 - Forces and Newton s Laws of Motion. Physics is about forces and how the world around us reacts to these forces.

Physics 111: Lecture 4: Chapter 4 - Forces and Newton s Laws of Motion. Physics is about forces and how the world around us reacts to these forces. Physics 111: Lecture 4: Chapter 4 - Forces and Newton s Laws of Motion Physics is about forces and how the world around us reacts to these forces. Whats a force? Contact and non-contact forces. Whats a

More information

Welcome to the World of Chemistry

Welcome to the World of Chemistry Welcome to the World of Chemistry The Language of Chemistry CHEMICAL ELEMENTS - pure substances that cannot be decomposed by ordinary means to other substances. Aluminum Bromine Sodium The Language of

More information

Acceleration due to Gravity

Acceleration 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 information

Chapter 13. Newton s Theory of Gravity

Chapter 13. Newton s Theory of Gravity Chapter 13. Newton s Theory of Gravity The beautiful rings of Saturn consist of countless centimeter-sized ice crystals, all orbiting the planet under the influence of gravity. Chapter Goal: To use Newton

More information

Newton s Third Law, Momentum, Center of Mass

Newton s Third Law, Momentum, Center of Mass Team: Newton s Third Law, Momentum, Center of Mass Part I. Newton s Third Law Atomic Springs When you push against a wall, you feel a force in the opposite direction. The harder you push, the harder the

More information

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is Lecture 17 Rotational Dynamics Rotational Kinetic Energy Stress and Strain and Springs Cutnell+Johnson: 9.4-9.6, 10.1-10.2 Rotational Dynamics (some more) Last time we saw that the rotational analog of

More information

Chapter 13 Newton s Theory of Gravity

Chapter 13 Newton s Theory of Gravity Chapter 13 Newton s Theory of Gravity The textbook gives a good brief account of the period leading up to Newton s Theory of Gravity. I am not going to spend much time reviewing the history but will show

More information

AP Physics Energy and Springs

AP 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 information

Physics 201 Homework 8

Physics 201 Homework 8 Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 N-m is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kg-m 2. What is the

More information

Chapter 13 Newton s Theory of Gravity

Chapter 13 Newton s Theory of Gravity Chapter 13 Newton s Theory of Gravity Chapter Goal: To use Newton s theory of gravity to understand the motion of satellites and planets. Slide 13-2 Chapter 13 Preview Slide 13-3 Chapter 13 Preview Slide

More information

Physics Midterm Review Packet January 2010

Physics 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 8:15-10:15 Room:

More information

Mechanics 1: Conservation of Energy and Momentum

Mechanics 1: Conservation of Energy and Momentum Mechanics : Conservation of Energy and Momentum If a certain quantity associated with a system does not change in time. We say that it is conserved, and the system possesses a conservation law. Conservation

More information

Rectangle Square Triangle

Rectangle Square Triangle HFCC Math Lab Beginning Algebra - 15 PERIMETER WORD PROBLEMS The perimeter of a plane geometric figure is the sum of the lengths of its sides. In this handout, we will deal with perimeter problems involving

More information

Review Questions PHYS 2426 Exam 2

Review Questions PHYS 2426 Exam 2 Review Questions PHYS 2426 Exam 2 1. If 4.7 x 10 16 electrons pass a particular point in a wire every second, what is the current in the wire? A) 4.7 ma B) 7.5 A C) 2.9 A D) 7.5 ma E) 0.29 A Ans: D 2.

More information

Section 1 What Is Matter?

Section 1 What Is Matter? Section 1 What Is Matter? Key Concept Matter is anything that has mass and takes up space. Matter can be described in terms of its volume, mass, and weight. What You Will Learn All matter has volume and

More information

Fluid Mechanics: Static s Kinematics Dynamics Fluid

Fluid Mechanics: Static s Kinematics Dynamics Fluid Fluid Mechanics: Fluid mechanics may be defined as that branch of engineering science that deals with the behavior of fluid under the condition of rest and motion Fluid mechanics may be divided into three

More information

WORK DONE BY A CONSTANT FORCE

WORK DONE BY A CONSTANT FORCE WORK DONE BY A CONSTANT FORCE The definition of work, W, when a constant force (F) is in the direction of displacement (d) is W = Fd SI unit is the Newton-meter (Nm) = Joule, J If you exert a force of

More information

Phys222 Winter 2012 Quiz 4 Chapters 29-31. Name

Phys222 Winter 2012 Quiz 4 Chapters 29-31. Name Name If you think that no correct answer is provided, give your answer, state your reasoning briefly; append additional sheet of paper if necessary. 1. A particle (q = 5.0 nc, m = 3.0 µg) moves in a region

More information

PHY231 Section 1, Form B March 22, 2012

PHY231 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 information

Introduction and Mathematical Concepts

Introduction and Mathematical Concepts CHAPTER 1 Introduction and Mathematical Concepts PREVIEW In this chapter you will be introduced to the physical units most frequently encountered in physics. After completion of the chapter you will be

More information

Vectors; 2-D Motion. Part I. Multiple Choice. 1. v

Vectors; 2-D Motion. Part I. Multiple Choice. 1. v This test covers vectors using both polar coordinates and i-j notation, radial and tangential acceleration, and two-dimensional motion including projectiles. Part I. Multiple Choice 1. v h x In a lab experiment,

More information

Chapter 4 Dynamics: Newton s Laws of Motion. Copyright 2009 Pearson Education, Inc.

Chapter 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 information

Chapter 6. Work and Energy

Chapter 6. Work and Energy Chapter 6 Work and Energy The concept of forces acting on a mass (one object) is intimately related to the concept of ENERGY production or storage. A mass accelerated to a non-zero speed carries energy

More information

Torque and Rotation. Physics

Torque and Rotation. Physics Torque and Rotation Physics Torque Force is the action that creates changes in linear motion. For rotational motion, the same force can cause very different results. A torque is an action that causes objects

More information

Ch 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 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 information

PHYSICS 111 HOMEWORK SOLUTION, week 4, chapter 5, sec 1-7. February 13, 2013

PHYSICS 111 HOMEWORK SOLUTION, week 4, chapter 5, sec 1-7. February 13, 2013 PHYSICS 111 HOMEWORK SOLUTION, week 4, chapter 5, sec 1-7 February 13, 2013 0.1 A 2.00-kg object undergoes an acceleration given by a = (6.00î + 4.00ĵ)m/s 2 a) Find the resultatnt force acting on the object

More information

VELOCITY, ACCELERATION, FORCE

VELOCITY, ACCELERATION, FORCE VELOCITY, ACCELERATION, FORCE velocity Velocity v is a vector, with units of meters per second ( m s ). Velocity indicates the rate of change of the object s position ( r ); i.e., velocity tells you how

More information

Gravitational Potential Energy

Gravitational Potential Energy Gravitational Potential Energy Consider a ball falling from a height of y 0 =h to the floor at height y=0. A net force of gravity has been acting on the ball as it drops. So the total work done on the

More information

Activity 5a Potential and Kinetic Energy PHYS 010. To investigate the relationship between potential energy and kinetic energy.

Activity 5a Potential and Kinetic Energy PHYS 010. To investigate the relationship between potential energy and kinetic energy. Name: Date: Partners: Purpose: To investigate the relationship between potential energy and kinetic energy. Materials: 1. Super-balls, or hard bouncy rubber balls. Metre stick and tape 3. calculator 4.

More information

Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same.

Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same. 1. 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

More information

HEAT UNIT 1.1 KINETIC THEORY OF GASES. 1.1.1 Introduction. 1.1.2 Postulates of Kinetic Theory of Gases

HEAT UNIT 1.1 KINETIC THEORY OF GASES. 1.1.1 Introduction. 1.1.2 Postulates of Kinetic Theory of Gases UNIT HEAT. KINETIC THEORY OF GASES.. Introduction Molecules have a diameter of the order of Å and the distance between them in a gas is 0 Å while the interaction distance in solids is very small. R. Clausius

More information

circular motion & gravitation physics 111N

circular 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 information

PY1052 Problem Set 6 Autumn 2004 Solutions

PY1052 Problem Set 6 Autumn 2004 Solutions PY052 Problem Set 6 Autumn 2004 Solutions () The mass of the Earth is 5.98 0 24 kg and the mass of the Moon is 7.36 0 22 kg. The distance between them is 3.82 0 8 m, and the Earth s radius is R E = 6.37

More information

Section 6.4: Work. We illustrate with an example.

Section 6.4: Work. We illustrate with an example. Section 6.4: Work 1. Work Performed by a Constant Force Riemann sums are useful in many aspects of mathematics and the physical sciences than just geometry. To illustrate one of its major uses in physics,

More information

There are three different properties associated with the mass of an object:

There are three different properties associated with the mass of an object: Mechanics Notes II Forces, Inertia and Motion The mathematics of calculus, which enables us to work with instantaneous rates of change, provides a language to describe motion. Our perception of force is

More information

Answer the following questions by marking the BEST answer choice on the answer sheet

Answer the following questions by marking the BEST answer choice on the answer sheet Answer the following questions by marking the BEST answer choice on the answer sheet 1. What is the average speed of a car that travels a total distance of 320 meters in 2.6 minutes? a. 2.1 m/s b. 120

More information

Chapter 3. Gauss s Law

Chapter 3. Gauss s Law 3 3 3-0 Chapter 3 Gauss s Law 3.1 Electric Flux... 3-2 3.2 Gauss s Law (see also Gauss s Law Simulation in Section 3.10)... 3-4 Example 3.1: Infinitely Long Rod of Uniform Charge Density... 3-9 Example

More information

Physics 121 Sample Common Exam 3 NOTE: ANSWERS ARE ON PAGE 6. Instructions: 1. In the formula F = qvxb:

Physics 121 Sample Common Exam 3 NOTE: ANSWERS ARE ON PAGE 6. Instructions: 1. In the formula F = qvxb: Physics 121 Sample Common Exam 3 NOTE: ANSWERS ARE ON PAGE 6 Signature Name (Print): 4 Digit ID: Section: Instructions: Answer all questions 24 multiple choice questions. You may need to do some calculation.

More information

Math 115 Extra Problems for 5.5

Math 115 Extra Problems for 5.5 Math 115 Extra Problems for 5.5 1. The sum of two positive numbers is 48. What is the smallest possible value of the sum of their squares? Solution. Let x and y denote the two numbers, so that x + y 48.

More information

Problem Set 5 Work and Kinetic Energy Solutions

Problem Set 5 Work and Kinetic Energy Solutions MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department o Physics Physics 8.1 Fall 1 Problem Set 5 Work and Kinetic Energy Solutions Problem 1: Work Done by Forces a) Two people push in opposite directions on

More information

PHY121 #8 Midterm I 3.06.2013

PHY121 #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 information

Physics 210 Q ( PHYSICS210BRIDGE ) My Courses Course Settings

Physics 210 Q ( PHYSICS210BRIDGE ) My Courses Course Settings 1 of 16 9/7/2012 1:10 PM Logged in as Julie Alexander, Instructor Help Log Out Physics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings Course Home Assignments Roster Gradebook Item Library

More information

PHYSICS 111 HOMEWORK SOLUTION #9. April 5, 2013

PHYSICS 111 HOMEWORK SOLUTION #9. April 5, 2013 PHYSICS 111 HOMEWORK SOLUTION #9 April 5, 2013 0.1 A potter s wheel moves uniformly from rest to an angular speed of 0.16 rev/s in 33 s. Find its angular acceleration in radians per second per second.

More information

Chapter 24 Physical Pendulum

Chapter 24 Physical Pendulum Chapter 4 Physical Pendulum 4.1 Introduction... 1 4.1.1 Simple Pendulum: Torque Approach... 1 4. Physical Pendulum... 4.3 Worked Examples... 4 Example 4.1 Oscillating Rod... 4 Example 4.3 Torsional Oscillator...

More information

Class XI Chapter 5 Complex Numbers and Quadratic Equations Maths. Exercise 5.1. Page 1 of 34

Class 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 information

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 13.

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 13. Chapter 5. Gravitation Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 13. 5.1 Newton s Law of Gravitation We have already studied the effects of gravity through the

More information

Chapter 2 Measurement and Problem Solving

Chapter 2 Measurement and Problem Solving Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community

More information

Solution Derivations for Capa #11

Solution 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 information

Center of Gravity. We touched on this briefly in chapter 7! x 2

Center of Gravity. We touched on this briefly in chapter 7! x 2 Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.

More information

Forces: Equilibrium Examples

Forces: Equilibrium Examples Physics 101: Lecture 02 Forces: Equilibrium Examples oday s lecture will cover extbook Sections 2.1-2.7 Phys 101 URL: http://courses.physics.illinois.edu/phys101/ Read the course web page! Physics 101:

More information

A2 Physics Notes OCR Unit 4: The Newtonian World

A2 Physics Notes OCR Unit 4: The Newtonian World A2 Physics Notes OCR Unit 4: The Newtonian World Momentum: - An object s linear momentum is defined as the product of its mass and its velocity. Linear momentum is a vector quantity, measured in kgms -1

More information

Welcome to Physics 40!

Welcome to Physics 40! Welcome to Physics 40! Physics for Scientists and Engineers Lab 1: Introduction to Measurement SI Quantities & Units In mechanics, three basic quantities are used Length, Mass, Time Will also use derived

More information

STATICS. Introduction VECTOR MECHANICS FOR ENGINEERS: Eighth Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr.

STATICS. Introduction VECTOR MECHANICS FOR ENGINEERS: Eighth Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr. Eighth E CHAPTER VECTOR MECHANICS FOR ENGINEERS: STATICS Ferdinand P. Beer E. Russell Johnston, Jr. Introduction Lecture Notes: J. Walt Oler Texas Tech University Contents What is Mechanics? Fundamental

More information

Newton s Laws of Motion

Newton s Laws of Motion Section 3.2 Newton s Laws of Motion Objectives Analyze relationships between forces and motion Calculate the effects of forces on objects Identify force pairs between objects New Vocabulary Newton s first

More information

Physics 126 Practice Exam #3 Professor Siegel

Physics 126 Practice Exam #3 Professor Siegel Physics 126 Practice Exam #3 Professor Siegel Name: Lab Day: 1. Which one of the following statements concerning the magnetic force on a charged particle in a magnetic field is true? A) The magnetic force

More information