E p = mgh (if h i=0) E k = ½ mv 2 Ek is measured in Joules (J); m is measured in kg; v is measured in m/s. Energy Continued (E)
|
|
- Alexandra Fowler
- 6 years ago
- Views:
Transcription
1 nergy Continued () Gravitational Potential nergy: - e energy stored in an object due to its distance above te surface of te art. - e energy stored depends on te mass of te object, te eigt above te surface, and te strengt of te gravitational field. - On art, te strengt of te gravitational field (g) is 9.8 m/s 2. - In tis case, an object is raised some eigt above te surface of te art as sown below: Object, mass m =Δd Surface of art In te example to te left, te object wit mass m tat is acted on by gravity (g) is raised a certain distance above te surface of te art (). e cange in energy of te object is Δ = mg or p = mg (if i=0) p is measured in Joules m is measured in kg g is measured in m/s 2 is measured in m Note: sometimes in a word problem it is useful to select te lowest eigt in te problem as a reference point (call tat i = 0) and measure all canges in eigt (and subsequently canges in energy) in reference to tat point. is is called relative potential energy and will simplify calculations. Kinetic nergy: - e energy acquired by an object tat experiences a positive cange in velocity - A moving object as energy, and tat energy is proportional to te mass and te square of te speed. - e more mass an object as, and te faster it moves, te more energy it as, and te greater capacity it as to do work. - In tis case, energy is imparted to an object set in motion according to te following: Force Object, mass Δd = ½ mv 2 k is measured in Joules (J); m is measured in kg; v is measured in m/s.
2 Name: Practice Kinetic and Potential nergy 1. A crane lifts a 1500 kg car 20 m straigt up. a. How muc potential energy does te car gain? b. How muc energy does te crane transfer to te car? c. How muc work does te crane do? 2. A kg rubber ball drops from a eigt of 5.00 m to te ground and bounces back to a eigt of 3.00 m above te ground. a. How muc potential energy does te ball lose on its trip down? b. How muc potential energy does te ball regain on its trip back up? 3. A man on a flying trapeze stands on a platform 20m above te ground, olding te trapeze. e trapeze is 10 m long and is attaced to te roof 26m above te surface of te ground. e man swings down, and lets go of te trapeze on te upswing. He as a mass of 60 kg. Calculate is potential energy relative to te ground at te following eigts: a. 20 m (on platform) b. 16 m (bottom of swing) c. 18 m (lets go of trapeze) d. 9 m (alfway to ground) 4. Wat is te kinetic energy of a 0.50 kg ball trown at 30.0 m/s? 5. Wat is te mass of an object travelling at 20 m/s wit a kinetic energy of 4000 J? 6. Wat is te speed of a 1.5 kg rock falling wit a kinetic energy of 48J? 7. How muc work is required to accelerate a 150 kg motorbike from 10 m/s to 20 m/s? 8. A 0.50 kg rubber ball is trown into te air. At a eigt of 20 m above te ground, it is travelling at 15 m/s. a. Wat is te ball s kinetic energy? b. Wat is its gravitational potential energy relative to te ground? c. How muc work as been done by someone at ground level trowing te ball up into te air?
3 Mecanical nergy: - As we ave learned, it is possible to convert between one form of energy and anoter. - Specifically we will see tat it is possible to cange potential energy into kinetic energy and vice versa. - e sum of te potential energy and kinetic energy possessed by an object is called te mecanical energy. m = p + k = mg + ½ mv 2 - te law of conservation of energy states tat in a system witout friction, te mecanical energy is always constant. xample: A cild and is skateboard ave a mass of 60 kg. Starting from rest, e goes down a ramp wose vertical drop is 1.8 m. r a m p 1.8 m Wat is te boy's speed at te bottom of te ramp? Disregard te effects of friction. A) 9.0 m/s B) 6.0 m/s C) 3.0 m/s D) 2.0 m/s
4 Name: Date: Practice Questions Mecanical nergy 1. A football is kicked into te opposing team's zone by te Dragons' quarterback. Wic of tese graps sows te total mecanical energy,, of te football as a function of its eigt,? (Ignore te effects of air resistance.) A) C) B) D) 2. A cart is launced up a frictionless inclined plane. Wic of te following graps best represents te transformation of te different types of energy involved in te movement up te ramp? A) nergy C) nergy p p B) nergy D) nergy p p
5 3. A mountain bike rider starts at rest at point A, 200 m above te base of a mountain and descends te slope witout pedaling. (Friction is negligible) A 200 m B 150 m Wat is is velocity at point B, 150 m above te base of te mountain? Sow all of your work. 0 m 4. A small airplane wit a mass of 1000 kg, is flying at 60 m/s at an altitude of 250 m. 60 m/s 250 m Wat is te total mecanical energy of tis airplane wit respect to te ground?
6 5. A car wit a mass of kg arrives at te top of a ill 20 m ig at a speed of 10 m/s. At te bottom of te ill, te speed of te car is 20 m/s. 10 m/s 20 m 20 m/s How muc work was done on te car as it went downill? A) J B) J C) J D) J 6. Calculate te total mecanical energy in eac of te following situations? A) An automobile of mass 1000 kg travelling in a straigt line troug a distance of 1000 m at a speed of 30 m/s. B) C) D) An automobile of mass 1000 kg travelling in a straigt line troug a distance of 1000 m at a speed of 40 m/s. A small plane of mass 1000 kg flying at an altitude of 1000 m at a speed of 40 m/s. A small plane of mass 1000 kg flying at an altitude of 1000 m at a speed of 30 m/s. 7. An Olympic diver runs along a 3 m ig diving board, jumps into te air, and dives into te pool below. e 56 kg diver as a speed of 8.0 m/s te moment se leaves te diving board. At wat point is er gravitational potential energy at its maximum? A) Wile se is running along te diving board B) Wen se jumps into te air C) Just before se its te water D) Wen se is under water
1 Power is transferred through a machine as shown. power input P I machine. power output P O. power loss P L. What is the efficiency of the machine?
1 1 Power is transferred troug a macine as sown. power input P I macine power output P O power loss P L Wat is te efficiency of te macine? P I P L P P P O + P L I O P L P O P I 2 ir in a bicycle pump is
More informationWork and Energy. Introduction. Work. PHY energy - J. Hedberg
Work and Energy PHY 207 - energy - J. Hedberg - 2017 1. Introduction 2. Work 3. Kinetic Energy 4. Potential Energy 5. Conservation of Mecanical Energy 6. Ex: Te Loop te Loop 7. Conservative and Non-conservative
More informationUniversity of Alabama Department of Physics and Astronomy PH 101 LeClair Summer Exam 1 Solutions
University of Alabama Department of Pysics and Astronomy PH 101 LeClair Summer 2011 Exam 1 Solutions 1. A motorcycle is following a car tat is traveling at constant speed on a straigt igway. Initially,
More informationProblem Set 7: Potential Energy and Conservation of Energy AP Physics C Supplementary Problems
Proble Set 7: Potential Energy and Conservation of Energy AP Pysics C Suppleentary Probles 1. Approxiately 5.5 x 10 6 kg of water drops 50 over Niagara Falls every second. (a) Calculate te aount of potential
More information106 PHYS - CH6 - Part2
106 PHYS - CH6 - Part Conservative Forces (a) A force is conservative if work one by tat force acting on a particle moving between points is inepenent of te pat te particle takes between te two points
More informationPhy 231 Sp 02 Homework #6 Page 1 of 4
Py 231 Sp 02 Homework #6 Page 1 of 4 6-1A. Te force sown in te force-time diagram at te rigt versus time acts on a 2 kg mass. Wat is te impulse of te force on te mass from 0 to 5 sec? (a) 9 N-s (b) 6 N-s
More informationPHYSICS 1050 Mid-term Test 1 University of Wyoming 15 February 2005
Name: (4 points) PHYSICS 1050 Mid-term Test 1 University of Wyoming 15 February 2005 Tis test is open-note and open-book. Tis means tat any reference material is permitted during te test. Calculators also
More information2.3. Applying Newton s Laws of Motion. Objects in Equilibrium
Appling Newton s Laws of Motion As ou read in Section 2.2, Newton s laws of motion describe ow objects move as a result of different forces. In tis section, ou will appl Newton s laws to objects subjected
More informationOutline. MS121: IT Mathematics. Limits & Continuity Rates of Change & Tangents. Is there a limit to how fast a man can run?
Outline MS11: IT Matematics Limits & Continuity & 1 Limits: Atletics Perspective Jon Carroll Scool of Matematical Sciences Dublin City University 3 Atletics Atletics Outline Is tere a limit to ow fast
More information1. Consider the trigonometric function f(t) whose graph is shown below. Write down a possible formula for f(t).
. Consider te trigonometric function f(t) wose grap is sown below. Write down a possible formula for f(t). Tis function appears to be an odd, periodic function tat as been sifted upwards, so we will use
More informationSome Review Problems for First Midterm Mathematics 1300, Calculus 1
Some Review Problems for First Midterm Matematics 00, Calculus. Consider te trigonometric function f(t) wose grap is sown below. Write down a possible formula for f(t). Tis function appears to be an odd,
More information1. Which one of the following expressions is not equal to all the others? 1 C. 1 D. 25x. 2. Simplify this expression as much as possible.
004 Algebra Pretest answers and scoring Part A. Multiple coice questions. Directions: Circle te letter ( A, B, C, D, or E ) net to te correct answer. points eac, no partial credit. Wic one of te following
More information2. What would happen to his acceleration if his speed were half? Energy The ability to do work
1. A 40 kilogram boy is traveling around a carousel with radius 0.5 meters at a constant speed of 1.7 meters per second. Calculate his centripetal acceleration. 2. What would happen to his acceleration
More informationLesson 4 - Limits & Instantaneous Rates of Change
Lesson Objectives Lesson 4 - Limits & Instantaneous Rates of Cange SL Topic 6 Calculus - Santowski 1. Calculate an instantaneous rate of cange using difference quotients and limits. Calculate instantaneous
More informationDerivative as Instantaneous Rate of Change
43 Derivative as Instantaneous Rate of Cange Consider a function tat describes te position of a racecar moving in a straigt line away from some starting point Let y s t suc tat t represents te time in
More information1 Limits and Continuity
1 Limits and Continuity 1.0 Tangent Lines, Velocities, Growt In tion 0.2, we estimated te slope of a line tangent to te grap of a function at a point. At te end of tion 0.3, we constructed a new function
More informationGrade: 11 International Physics Olympiad Qualifier Set: 2
Grade: 11 International Pysics Olympiad Qualifier Set: 2 --------------------------------------------------------------------------------------------------------------- Max Marks: 60 Test ID: 12111 Time
More informationThe Derivative The rate of change
Calculus Lia Vas Te Derivative Te rate of cange Knowing and understanding te concept of derivative will enable you to answer te following questions. Let us consider a quantity wose size is described by
More informationEssentially, the amount of work accomplished can be determined two ways:
1 Work and Energy Work is done on an object that can exert a resisting force and is only accomplished if that object will move. In particular, we can describe work done by a specific object (where a force
More information1. State whether the function is an exponential growth or exponential decay, and describe its end behaviour using limits.
Questions 1. State weter te function is an exponential growt or exponential decay, and describe its end beaviour using its. (a) f(x) = 3 2x (b) f(x) = 0.5 x (c) f(x) = e (d) f(x) = ( ) x 1 4 2. Matc te
More informationM12/4/PHYSI/HPM/ENG/TZ1/XX. Physics Higher level Paper 1. Thursday 10 May 2012 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES
M12/4/PHYSI/HPM/ENG/TZ1/XX 22126507 Pysics Higer level Paper 1 Tursday 10 May 2012 (afternoon) 1 our INSTRUCTIONS TO CANDIDATES Do not open tis examination paper until instructed to do so. Answer all te
More informationMA119-A Applied Calculus for Business Fall Homework 4 Solutions Due 9/29/ :30AM
MA9-A Applied Calculus for Business 006 Fall Homework Solutions Due 9/9/006 0:0AM. #0 Find te it 5 0 + +.. #8 Find te it. #6 Find te it 5 0 + + = (0) 5 0 (0) + (0) + =.!! r + +. r s r + + = () + 0 () +
More information2.8 The Derivative as a Function
.8 Te Derivative as a Function Typically, we can find te derivative of a function f at many points of its domain: Definition. Suppose tat f is a function wic is differentiable at every point of an open
More informationOn my honor, I have neither given nor received unauthorized aid on this examination.
Instructor(s): iel/uric PHYSICS DEPARTENT PHY 2053 Exam 1 October 3, 2012 Name (print, last first): Signature: On my onor, I ave neiter given nor receive unautorize ai on tis examination. YOUR TEST NUBER
More informationSection 3: The Derivative Definition of the Derivative
Capter 2 Te Derivative Business Calculus 85 Section 3: Te Derivative Definition of te Derivative Returning to te tangent slope problem from te first section, let's look at te problem of finding te slope
More informationMAT 145. Type of Calculator Used TI-89 Titanium 100 points Score 100 possible points
MAT 15 Test #2 Name Solution Guide Type of Calculator Used TI-89 Titanium 100 points Score 100 possible points Use te grap of a function sown ere as you respond to questions 1 to 8. 1. lim f (x) 0 2. lim
More information(A) 10 m (B) 20 m (C) 25 m (D) 30 m (E) 40 m
Work/nergy 1. student throws a ball upward where the initial potential energy is 0. t a height of 15 meters the ball has a potential energy of 60 joules and is moving upward with a kinetic energy of 40
More informationWork. Work is the measure of energy transferred. Energy: the capacity to do work. W = F X d
ENERGY CHAPTER 11 Work Work is the measure of energy transferred. Energy: the capacity to do work. W = F X d Units = Joules Work and energy transferred are equivalent in ideal systems. Two Types of Energy
More informationHigher Derivatives. Differentiable Functions
Calculus 1 Lia Vas Higer Derivatives. Differentiable Functions Te second derivative. Te derivative itself can be considered as a function. Te instantaneous rate of cange of tis function is te second derivative.
More information= 1 2 kx2 dw =! F! d! r = Fdr cosθ. T.E. initial. = T.E. Final. = P.E. final. + K.E. initial. + P.E. initial. K.E. initial =
Practice Template K.E. = 1 2 mv2 P.E. height = mgh P.E. spring = 1 2 kx2 dw =! F! d! r = Fdr cosθ Energy Conservation T.E. initial = T.E. Final (1) Isolated system P.E. initial (2) Energy added E added
More information2.11 That s So Derivative
2.11 Tat s So Derivative Introduction to Differential Calculus Just as one defines instantaneous velocity in terms of average velocity, we now define te instantaneous rate of cange of a function at a point
More informationPhysics 1A, Summer 2011, Summer Session 1 Quiz 3, Version A 1
Physics 1A, Summer 2011, Summer Session 1 Quiz 3, Version A 1 Closed book and closed notes. No work needs to be shown. 1. Three rocks are thrown with identical speeds from the top of the same building.
More information= h. Geometrically this quantity represents the slope of the secant line connecting the points
Section 3.7: Rates of Cange in te Natural and Social Sciences Recall: Average rate of cange: y y y ) ) ), ere Geometrically tis quantity represents te slope of te secant line connecting te points, f (
More informationNumerical Differentiation
Numerical Differentiation Finite Difference Formulas for te first derivative (Using Taylor Expansion tecnique) (section 8.3.) Suppose tat f() = g() is a function of te variable, and tat as 0 te function
More informationf a h f a h h lim lim
Te Derivative Te derivative of a function f at a (denoted f a) is f a if tis it exists. An alternative way of defining f a is f a x a fa fa fx fa x a Note tat te tangent line to te grap of f at te point
More informationExcerpt from "Calculus" 2013 AoPS Inc.
Excerpt from "Calculus" 03 AoPS Inc. Te term related rates refers to two quantities tat are dependent on eac oter and tat are canging over time. We can use te dependent relationsip between te quantities
More informationSection 2: The Derivative Definition of the Derivative
Capter 2 Te Derivative Applied Calculus 80 Section 2: Te Derivative Definition of te Derivative Suppose we drop a tomato from te top of a 00 foot building and time its fall. Time (sec) Heigt (ft) 0.0 00
More informationWork, Power and Energy Worksheet. 2. Calculate the work done by a 47 N force pushing a kg pencil 0.25 m against a force of 23 N.
Work, Power and Energy Worksheet Work and Power 1. Calculate the work done by a 47 N force pushing a pencil 0.26 m. 2. Calculate the work done by a 47 N force pushing a 0.025 kg pencil 0.25 m against a
More informationOld Exam. Question Chapter 7 072
Old Exam. Question Chapter 7 072 Q1.Fig 1 shows a simple pendulum, consisting of a ball of mass M = 0.50 kg, attached to one end of a massless string of length L = 1.5 m. The other end is fixed. If the
More informationMomentum, Work and Energy Review
Momentum, Work and Energy Review 1.5 Momentum Be able to: o solve simple momentum and impulse problems o determine impulse from the area under a force-time graph o solve problems involving the impulse-momentum
More informationProblem Solving. Problem Solving Process
Problem Solving One of te primary tasks for engineers is often solving problems. It is wat tey are, or sould be, good at. Solving engineering problems requires more tan just learning new terms, ideas and
More informationqwertyuiopasdfghjklzxcvbnmqwerty uiopasdfghjklzxcvbnmqwertyuiopasd fghjklzxcvbnmqwertyuiopasdfghjklzx cvbnmqwertyuiopasdfghjklzxcvbnmq
qwertyuiopasdfgjklzxcbnmqwerty uiopasdfgjklzxcbnmqwertyuiopasd fgjklzxcbnmqwertyuiopasdfgjklzx cbnmqwertyuiopasdfgjklzxcbnmq Projectile Motion Quick concepts regarding Projectile Motion wertyuiopasdfgjklzxcbnmqwertyui
More informationThe content contained in all sections of chapter 6 of the textbook is included on the AP Physics B exam.
WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system is always
More informationNotes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.
Capter 6. Fluid Mecanics Notes: Most of te material in tis capter is taken from Young and Freedman, Cap. 12. 6.1 Fluid Statics Fluids, i.e., substances tat can flow, are te subjects of tis capter. But
More informationChapters 19 & 20 Heat and the First Law of Thermodynamics
Capters 19 & 20 Heat and te First Law of Termodynamics Te Zerot Law of Termodynamics Te First Law of Termodynamics Termal Processes Te Second Law of Termodynamics Heat Engines and te Carnot Cycle Refrigerators,
More informationPrecalculus Test 2 Practice Questions Page 1. Note: You can expect other types of questions on the test than the ones presented here!
Precalculus Test 2 Practice Questions Page Note: You can expect oter types of questions on te test tan te ones presented ere! Questions Example. Find te vertex of te quadratic f(x) = 4x 2 x. Example 2.
More information5.1 We will begin this section with the definition of a rational expression. We
Basic Properties and Reducing to Lowest Terms 5.1 We will begin tis section wit te definition of a rational epression. We will ten state te two basic properties associated wit rational epressions and go
More informationMATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION
MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION Tis tutorial is essential pre-requisite material for anyone stuing mecanical engineering. Tis tutorial uses te principle of
More informationMATH CALCULUS I 2.1: Derivatives and Rates of Change
MATH 12002 - CALCULUS I 2.1: Derivatives and Rates of Cange Professor Donald L. Wite Department of Matematical Sciences Kent State University D.L. Wite (Kent State University) 1 / 1 Introduction Our main
More informationThe derivative function
Roberto s Notes on Differential Calculus Capter : Definition of derivative Section Te derivative function Wat you need to know already: f is at a point on its grap and ow to compute it. Wat te derivative
More informationChapter 6 Energy and Oscillations
Chapter 6 Energy and Oscillations Conservation of Energy In this chapter we will discuss one of the most important and fundamental principles in the universe. Energy is conserved. This means that in any
More informationDerivatives. By: OpenStaxCollege
By: OpenStaxCollege Te average teen in te United States opens a refrigerator door an estimated 25 times per day. Supposedly, tis average is up from 10 years ago wen te average teenager opened a refrigerator
More informationPHYSICS 231 INTRODUCTORY PHYSICS I
PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 6 Last Lecture: Gravity Normal forces Strings, ropes and Pulleys Today: Friction Work and Kinetic Energy Potential Energy Conservation of Energy Frictional Forces
More information1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B km C. 25 km D. 45 km E. 50 km
Name: Physics I Mid Term Exam Review Multiple Choice Questions Date: Mr. Tiesler 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
More information158 Calculus and Structures
58 Calculus and Structures CHAPTER PROPERTIES OF DERIVATIVES AND DIFFERENTIATION BY THE EASY WAY. Calculus and Structures 59 Copyrigt Capter PROPERTIES OF DERIVATIVES. INTRODUCTION In te last capter you
More informationChapter 2 Physics in Action Sample Problem 1 A weightlifter uses a force of 325 N to lift a set of weights 2.00 m off the ground. How much work did th
Chapter Physics in Action Sample Problem 1 A weightlifter uses a force of 35 N to lift a set of weights.00 m off the ground. How much work did the weightlifter do? Strategy: You can use the following equation
More informationBob Brown Math 251 Calculus 1 Chapter 3, Section 1 Completed 1 CCBC Dundalk
Bob Brown Mat 251 Calculus 1 Capter 3, Section 1 Completed 1 Te Tangent Line Problem Te idea of a tangent line first arises in geometry in te context of a circle. But before we jump into a discussion of
More information1.5 Functions and Their Rates of Change
66_cpp-75.qd /6/8 4:8 PM Page 56 56 CHAPTER Introduction to Functions and Graps.5 Functions and Teir Rates of Cange Identif were a function is increasing or decreasing Use interval notation Use and interpret
More informationConservation of Energy Review
onservation of Energy Review Name: ate: 1. An electrostatic force exists between two +3.20 10 19 -coulomb point charges separated by a distance of 0.030 meter. As the distance between the two point charges
More informationWEP-Energy. 2. If the speed of a car is doubled, the kinetic energy of the car is 1. quadrupled 2. quartered 3. doubled 4. halved
1. A 1-kilogram rock is dropped from a cliff 90 meters high. After falling 20 meters, the kinetic energy of the rock is approximately 1. 20 J 2. 200 J 3. 700 J 4. 900 J 2. If the speed of a car is doubled,
More information2.1 THE DEFINITION OF DERIVATIVE
2.1 Te Derivative Contemporary Calculus 2.1 THE DEFINITION OF DERIVATIVE 1 Te grapical idea of a slope of a tangent line is very useful, but for some uses we need a more algebraic definition of te derivative
More informationIntroduction to Derivatives
Introduction to Derivatives 5-Minute Review: Instantaneous Rates and Tangent Slope Recall te analogy tat we developed earlier First we saw tat te secant slope of te line troug te two points (a, f (a))
More informationCalculus I Homework: The Derivative as a Function Page 1
Calculus I Homework: Te Derivative as a Function Page 1 Example (2.9.16) Make a careful sketc of te grap of f(x) = sin x and below it sketc te grap of f (x). Try to guess te formula of f (x) from its grap.
More information. If lim. x 2 x 1. f(x+h) f(x)
Review of Differential Calculus Wen te value of one variable y is uniquely determined by te value of anoter variable x, ten te relationsip between x and y is described by a function f tat assigns a value
More informationAssignment Solutions- Dual Nature. September 19
Assignment Solutions- Dual Nature September 9 03 CH 4 DUAL NATURE OF RADIATION & MATTER SOLUTIONS No. Constants used:, = 6.65 x 0-34 Js, e =.6 x 0-9 C, c = 3 x 0 8 m/s Answers Two metals A, B ave work
More information40 N 40 N. Direction of travel
1 Two ropes are attached to a box. Each rope is pulled with a force of 40 N at an angle of 35 to the direction of travel. 40 N 35 35 40 N irection of travel The work done, in joules, is found using 2 Which
More informationName: Date: Period: AP Physics C Work HO11
Name: Date: Period: AP Physics C Work HO11 1.) Rat pushes a 25.0 kg crate a distance of 6.0 m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic friction
More information1. Which one of the following situations is an example of an object with a non-zero kinetic energy?
Name: Date: 1. Which one of the following situations is an example of an object with a non-zero kinetic energy? A) a drum of diesel fuel on a parked truck B) a stationary pendulum C) a satellite in geosynchronous
More information2014 Physics Exam Review
Name: ate: 1. The diagrams below show a model airplane. Which energy transformation occurs in a rubber band powered model airplane when it is flown?. Thermal energy stored in the rubber band is transformed
More informationWORK, ENERGY AND POWER P.1
WORK, ENERGY AND OWER.1 HKCEE AER I 11 11 Figure 6 shows an experimental setup, which is used to find the friction between a block and a table. A weight is connected to the block through a frictionless
More informationTangent Lines-1. Tangent Lines
Tangent Lines- Tangent Lines In geometry, te tangent line to a circle wit centre O at a point A on te circle is defined to be te perpendicular line at A to te line OA. Te tangent lines ave te special property
More information5. A car moves with a constant speed in a clockwise direction around a circular path of radius r, as represented in the diagram above.
1. The magnitude of the gravitational force between two objects is 20. Newtons. If the mass of each object were doubled, the magnitude of the gravitational force between the objects would be A) 5.0 N B)
More informationPhysics 103, Practice Midterm Exam 2
Physics 103, Practice Midterm Exam 2 1) A rock of mass m is whirled in a horizontal circle on a string of length L. The period of its motion is T seconds. If the length of the string is increased to 4L
More information4 Study Guide. Forces in One Dimension Vocabulary Review
Date Period Name CHAPTER 4 Study Guide Forces in One Dimension Vocabulary Review Write the term that correctly completes the statement. Use each term once. agent force Newton s second law apparent weight
More information2.2 Derivative. 1. Definition of Derivative at a Point: The derivative of the function f x at x a is defined as
. Derivative. Definition of Derivative at a Point: Te derivative of te function f at a is defined as f fa fa a lim provided te limit eists. If te limit eists, we sa tat f is differentiable at a, oterwise,
More information1. A 7.0-kg bowling ball experiences a net force of 5.0 N. What will be its acceleration? a. 35 m/s 2 c. 5.0 m/s 2 b. 7.0 m/s 2 d. 0.
Newton's Laws 1. A 7.0-kg bowling ball experiences a net force of 5.0 N. What will be its acceleration? a. 35 m/s 2 c. 5.0 m/s 2 b. 7.0 m/s 2 d. 0.71 m/s 2 2. An astronaut applies a force of 500 N to an
More informationTHE IDEA OF DIFFERENTIABILITY FOR FUNCTIONS OF SEVERAL VARIABLES Math 225
THE IDEA OF DIFFERENTIABILITY FOR FUNCTIONS OF SEVERAL VARIABLES Mat 225 As we ave seen, te definition of derivative for a Mat 111 function g : R R and for acurveγ : R E n are te same, except for interpretation:
More informationMechanical Energy - Grade 10 [CAPS] *
OpenStax-CNX module: m37174 1 Mechanical Energy - Grade 10 [CAPS] * Free High School Science Texts Project Based on Gravity and Mechanical Energy by Rory Adams Free High School Science Texts Project Sarah
More informationINTRODUCTION AND MATHEMATICAL CONCEPTS
INTODUCTION ND MTHEMTICL CONCEPTS PEVIEW Tis capter introduces you to te basic matematical tools for doing pysics. You will study units and converting between units, te trigonometric relationsips of sine,
More informationCombining functions: algebraic methods
Combining functions: algebraic metods Functions can be added, subtracted, multiplied, divided, and raised to a power, just like numbers or algebra expressions. If f(x) = x 2 and g(x) = x + 2, clearly f(x)
More informationPhysics Midterm Review KEY
Name: Date: 1. Which quantities are scalar? A. speed and work B. velocity and force C. distance and acceleration D. momentum and power 2. A 160.-kilogram space vehicle is traveling along a straight line
More information11.6 DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR
SECTION 11.6 DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR 633 wit speed v o along te same line from te opposite direction toward te source, ten te frequenc of te sound eard b te observer is were c is
More information1 2 x Solution. The function f x is only defined when x 0, so we will assume that x 0 for the remainder of the solution. f x. f x h f x.
Problem. Let f x x. Using te definition of te derivative prove tat f x x Solution. Te function f x is only defined wen x 0, so we will assume tat x 0 for te remainder of te solution. By te definition of
More informationCHAPTER 5. Chapter 5, Energy
CHAPTER 5 2. A very light cart holding a 300-N box is moved at constant velocity across a 15-m level surface. What is the net work done in the process? a. zero b. 1/20 J c. 20 J d. 2 000 J 4. An rock is
More informationMath 102 TEST CHAPTERS 3 & 4 Solutions & Comments Fall 2006
Mat 102 TEST CHAPTERS 3 & 4 Solutions & Comments Fall 2006 f(x+) f(x) 10 1. For f(x) = x 2 + 2x 5, find ))))))))) and simplify completely. NOTE: **f(x+) is NOT f(x)+! f(x+) f(x) (x+) 2 + 2(x+) 5 ( x 2
More informationPage 1. Name:
Name: 3834-1 - Page 1 1) If a woman runs 100 meters north and then 70 meters south, her total displacement is A) 170 m south B) 170 m north C) 30 m south D) 30 m north 2) The graph below represents the
More information3. Using your answers to the two previous questions, evaluate the Mratio
MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 0219 2.002 MECHANICS AND MATERIALS II HOMEWORK NO. 4 Distributed: Friday, April 2, 2004 Due: Friday,
More informationPractice Test for Midterm Exam
A.P. Physics Practice Test for Midterm Exam Kinematics 1. Which of the following statements are about uniformly accelerated motion? Select two answers. a) If an object s acceleration is constant then it
More informationName 09-MAR-04. Work Power and Energy
Page 1 of 16 Work Power and Energy Name 09-MAR-04 1. A spring has a spring constant of 120 newtons/meter. How much potential energy is stored in the spring as it is stretched 0.20 meter? 1. 2.4 J 3. 12
More informationPart 2: Introduction to Open-Channel Flow SPRING 2005
Part : Introduction to Open-Cannel Flow SPRING 005. Te Froude number. Total ead and specific energy 3. Hydraulic jump. Te Froude Number Te main caracteristics of flows in open cannels are tat: tere is
More informationPractice Problem Solutions: Exam 1
Practice Problem Solutions: Exam 1 1. (a) Algebraic Solution: Te largest term in te numerator is 3x 2, wile te largest term in te denominator is 5x 2 3x 2 + 5. Tus lim x 5x 2 2x 3x 2 x 5x 2 = 3 5 Numerical
More informationEnergy and Mechanical Energy
Energy and Mechanical Energy Energy Review Remember: Energy is the ability to do work or effect change. Usually measured in joules (J) One joule represents the energy needed to move an object 1 m of distance
More information1 1. A spring has a spring constant of 120 newtons/meter. How much potential energy is stored in the spring as it is stretched 0.20 meter?
Page of 3 Work Power And Energy TEACHER ANSWER KEY March 09, 200. A spring has a spring constant of 20 newtons/meter. How much potential energy is stored in the spring as it is stretched 0.20 meter?. 2.
More informationThe Story of Energy. Forms and Functions
The Story of Energy Forms and Functions What are 5 things E helps us do? Batteries store energy! This car uses a lot of energy Even this sleeping puppy is using stored energy. We get our energy from FOOD!
More informationQuantum Theory of the Atomic Nucleus
G. Gamow, ZP, 51, 204 1928 Quantum Teory of te tomic Nucleus G. Gamow (Received 1928) It as often been suggested tat non Coulomb attractive forces play a very important role inside atomic nuclei. We can
More informationINTRODUCTION AND MATHEMATICAL CONCEPTS
Capter 1 INTRODUCTION ND MTHEMTICL CONCEPTS PREVIEW Tis capter introduces you to te basic matematical tools for doing pysics. You will study units and converting between units, te trigonometric relationsips
More informationTwo-Dimensional Motion and Vectors
CHAPTER 3 VECTOR quantities: Two-imensional Motion and Vectors Vectors ave magnitude and direction. (x, y) Representations: y (x, y) (r, ) x Oter vectors: velocity, acceleration, momentum, force Vector
More informationMATH Fall 08. y f(x) Review Problems for the Midterm Examination Covers [1.1, 4.3] in Stewart
MATH 121 - Fall 08 Review Problems for te Midterm Eamination Covers [1.1, 4.3] in Stewart 1. (a) Use te definition of te derivative to find f (3) wen f() = π 1 2. (b) Find an equation of te tangent line
More informationKEY NNHS Introductory Physics: MCAS Review Packet #2
2. Conservation of Energy and Momentum Broad Concept: The laws of conservation of energy and momentum provide alternate approaches to predict and describe the movement of objects. 1.) Which of the following
More informationPhysics Worksheet Work and Energy Section: Name:
1. oncept of Energy a) Energy: quantity that is often understood as the on a physical system. b) We observe only the effects of energy when something is happening. When energy is being, or when energy
More information