2 uniform means constant, unchanging At a uniform speed, the distance traveled is given by Distance = speed x time At uniform velocity, the displacement is given by Displacement = velocity x time d = vt
3 Examples How far will you go while traveling at 23 m/s for 12 seconds? d = vt = 23 m/s x 12 s = 276 m
4 How long will it take to travel a distance of 240 km traveling at 12 m/s? Convert 240 km to meters first! 240 km x = m Rearrange the equation d = vt to solve for t t = d v = m 12 m/s = s 1000m 1km
5 How far, in meters, will you go while traveling at 70 km/h for 18 seconds? Convert to the 70 km/h to m/s first, then calculate the distance. 70 km h 1000m 1km = 19.4 m/s 1h 3600s d = vt = 19.4 m/s x 18 s = 349 m
6 Acceleration Acceleration: the rate at which velocity changes Acceleration = final Δ velocity time velocity - original time velocity Unit: Δ velocity m/s time s m 2 s
7 Constant velocity means that neither the speed nor the direction of motion can change. A race car driving around a circular path at a constant 80 mi/h has a constant speed but not a constant velocity since its direction is changing.
8 So An object accelerates when its speed OR its direction changes!
9 Free Fall: the movement of an object in response to a gravitational attraction Earth s gravity, ignoring air resistance, produces an acceleration of we often just call g, the acceleration due to gravity. The size of g is 9.8 m/s 2, but since the acceleration is always downward, the value of the acceleration is a = - g = m/s 2 (approximately -10 m/s 2 )
10 What does this mean? Each second of free-fall, the speed of an object increases by about 10 m/s T = 1s Speed = 10 m/s T = 2s Speed = 20 m/s T = 3s Speed = 30 m/s
11 What s the speed? 10 m/s 0 m/s 10 m/s 20 m/s 20 m/s 30 m/s 30 m/s
12 Newton s First Law of Motion: The Law of Inertia An object at rest remains at rest unless a net external force acts on it. An object in motion continues that motion unless a net external force acts on it. Newton s law of inertia confirmed what Galileo concluded: Once an object is moving, it requires no additional force to keep it moving. It will continue to move in a straight line unless a NET force acts upon it. I knew it first!!
13 Second Law If there is a net external force acting on an object, it will accelerate... Newton s Second Law is expressed as an equation: F net ma or F ma (I call this the granddaddy of all physics equations!)
14 Third Law For every force, there is an equal but opposite force. Action / Reaction forces
15 The gun pushes on the bullet. The bullet pushes back on the gun!
16 Weight Weight, Wt. is the gravitational force on an object Weight = mass x gravity Wt. = mg Since weight is a force, it is measured in Newtons, N Remember, g on Earth is 9.8 m/s 2
17 A child pulls up on a string that is holding 2 fish of total mass 5 kg. If he is providing a tension of 60 N, what is the net force on the fish? F net = Tension Weight F net = 60 N 50 N F net = 10 N What is the acceleration of the fish? a = F net / m a = 10 N / 5 kg a = 2 m/s 2
18 A 50 kg woman steps on a scale in an elevator that accelerates upward at 1.5 m/s 2. What is her weight (use g = 10 m/s 2 )? Weight = mg = 500 N How heavy does she feel? What is her APPARENT weight? F = ma N mg = ma Her APPARENT weight is what she feels like she weighs, which is determined by how hard the floor is pushing up against herthe Normal force. N = mg + ma N = 500 N + 50 kg x 1.5 m/s 2 Apparent weight = 575 N N mg
19 Experiencing g s When you have positive accelerating, you feel heavier than you actually are. Sometimes that acceleration is measured in g s, in other words- a multiple of 9.8 m/s 2. On amusement park rides, you may experience an acceleration of 40 m/s 2 or even larger. 40 m/s m/s 2 = about 4 g s. People who experience more than 7 g s will often black out!
20 Friction, f A force that always opposes motion Depends on two things: the roughness of the surfaces and how hard they are pressed together. f = mn m, mu- the coefficient of friction tells how rough the surfaces are. N, the Normal force tells how hard the surfaces are pressed together
21 There are two kinds of friction: static friction (not moving) must be overcome to initiate motion. kinetic friction must be overcome while an object is moving Static friction > Kinetic friction
22 Linear speed, v How far you go in a certain amount of time Miles per hour, meters per second Rotational (angular) speed, w How many times you go around in a certain amount of time Revolutions per minute, rotations per hour, radians per second
23 Which horse has a larger linear speed on a merry go round, one on the outside or one on the inside? Outside. Which horse has a greater rotational speed? Neither, all the horses complete the circle in the same amount of time. So... There is a relationship between linear speed, v, and rotational speed, w. v = wr The larger your radius, the faster your linear speed!
24 How do you find the velocity if it is not directly provided? Velocity = distance / time In circular motion, the distance traveled is all around the circle the circumference. The circumference = 2pr So v = 2pr / T
25 Uniform Circular Motion, UCM: moving in a circle with a constant speed. Question: Is there a constant velocity when an object moves in a circle with a constant speed? No, the direction changes, therefore the velocity changes. If the velocity changed, the object is actually ACCELERATING even while moving at the same speed. Now on to some new things..
26 Suppose an object was moving in a straight line with some velocity, v. According to Newton s 1 st Law of Motion, An object in motion continues that motion unless a net external force acts on it. If you want the object to move in a circle, some force must push or pull it towards the center of the circle. Any force that pushes or pulls an object towards the center of a circle is called a centripetal force Centripetal means center seeking
27 According to Newton s 2 nd Law, F = ma, If there is are centripetal forces, there must be a centripetal acceleration. a c = v2 r Where r is the radius of the circle and v is the velocity of the object.
28 Centripetal force Since F centripetal = ma, the net centripetal force is given by F centripetal = m v2 r
29 Lots of forces can help in pushing or pulling an object towards (or away from) the center of a circle. Sometimes it takes more than one force to get an object to move in uniform circular motion. Centripetal force is NOT a new kind of force. If an object moves in a circle (or an arc), there must be at least one force that is acting toward the center of the circle.
30 When can these forces be centripetal Gravity? Moon revolving around the Earth Tension? Twirling a pail at the end of a string Friction? Cars rounding a curve. Air Resistance ( Lift )? Airplane or birds flying in a circle. Normal? Riders in a carnival ride forces?
31 Free body diagrams Never, ever, EVER label a force centripetal force. Label the specific forces acting: tension, friction, Normal, weight, etc.!
32 What happens if the string breaks? Which way will the ball move? The ball will continue to move in a straight line path that is tangent to the circle.
33 Tension in a string as a centripetal force A student twirls a rock around and around in a horizontal circle at the end of the string. The only force that contributes to a NET centripetal force is the tension in the string.
34 Example A boy twirls a ½ kg rock in a horizontal circle on the end of a 1.6 meter long string. If the velocity of the rock was 4 m/s, what is the Tension in the string? m = ½ kg r = 1.6 m v = 4 m/s The only centripetal force is Tension. T = m v 2 / r T = ½ 4 2 / 1.6 T = 5 N F m v r 2
35 What you FEEL If YOU were twirled at the end of a string, you would FEEL as if you were being pushed outward, when in reality, you are experiencing a net force inward, toward the center of the circle! The net force exerted on you is CENTRIPETAL- center seeking. The effect you feel is called CENTRIFUGAL. F m v r 2
36 What about an object on a vertical track? At the top of the track, both the Normal force (the track pushing against the ball) and the weight point down toward the center of the circle, therefore, they are both positive: mg N N F centripetal = N + mg = m v2 r At the bottom of the track, the Normal force points toward the center and the weight points away from the center: mg F centripetal = N mg = m v2 r
37 Loop the Loop What is the minimum speed that a rider must be moving at in order to complete a loop the loop of radius 12 m? At the top of the loop, both the Normal force and weight point towards the center of the circle, so F centripetal = N + mg = m v2 r However, at the minimum required speed, called the critical velocity, contact is lost for a moment at the top of the loop, so that The Normal force goes all the way to ZERO. Therefore, weight is the only centripetal force when the rider is moving at the minimum required speed. F m v r 2 mg = m v2 r v 2 = rg v 2 = 12 x 10 v = m/s
38 Doing WORK is one way to transfer energy from one object to another. Work = Force x displacement W = F d Unit for work is Newton x meter. One Newton-meter is also called a Joule, J.
39 Work- the transfer of energy
40 Work = Force x displacement Work is not done unless there is a displacement. If you hold an object a long time, you may get tired, but NO work was done. If you push against a solid wall for hours, there is still NO work done.
41 For work to be done, the displacement of the object must be along the same direction as the applied force. They must be parallel. If the force and the displacement are perpendicular to each other, NO work is done by the force.
42 For example, in lifting a book, the force exerted by your hands is upward and the displacement is F upward- positive work is done. Similarly, in lowering a book, the force exerted by your hands is still upward, and the displacement is downward. F d d The force and the displacement are STILL parallel, so work is still done. But since they are in opposite directions, now it is NEGATIVE work.
43 On the other hand, while carrying a book down the hallway, the force from your hands is vertical, and the displacement of the book is horizontal. Therefore, NO work is done by your hands. Since the book is obviously moving, what force IS doing work??? The static friction force between your hands and the book is acting parallel to the displacement and IS doing work! F d
44 Power is the rate at which work is done- how fast you do work. Power = work / time P = W / t You may be able to do a lot of work, but if it takes you a long time, you are not very powerful. The faster you can do work, the more powerful you are.
45 The unit for power is Joule / seconds which is also called a Watt, W (just like the rating for light bulbs) In the US, we usually measure power developed in motors in horsepower 1 hp = 746 W
46 Kinetic Energy the energy of motion K = ½ mv 2
47 Gravitational potential energy GPE = weight x height GPE = mgh Since you can measure height from more than one reference point, it is important to specify the location from which you are measuring.
48 Conservation of Mechanical Energy The ball starts with kinetic energy Which changes to potential energy. Which changes back to kinetic energy What about the energy when it is not at the top or bottom? E = ½ mv 2 + mgh PE = mgh Energy bottom = Energy top ½ mv b 2 = mgh t K = ½ mv 2 K = ½ mv 2
49 Example of Conservation of Mechanical Energy Rapunzel dropped her hairbrush from the top of the castle where she was held captive. If the window was 80 m high, how fast was the brush moving just before it hit the ground? (g = 10 m/s 2 ) mgh 1 + ½ mv 1 2 = mgh 2 + ½ mv 2 2 mgh = ½ mv 2 gh = ½ v 2 2gh = v 2 Don t forget to take the square root!
50 And another one A woman throws a ball straight up with an initial velocity of 12 m/s. How high above the release point will the ball rise? g = 10 m/s 2 mgh 1 + ½ mv 1 2 = mgh 2 + ½ mv 2 2 ½ mv 2 = mgh h = ½ v 2 / g
51 Conservation of Mechanical Energy more difficult A stork, at a height of 80 m flying at 18 m/s, releases his package. How fast will the baby be moving just before he hits the ground? Energy original = Energy final mgh + ½ mv o 2 = ½ mv f 2 V f = 43.5 m/s
52 The car on a roller coaster starts from rest at the top of a hill that is 60 m high. How fast will the car be moving at a height of 10 m? (use g = 9.8 m/s 2 ) mgh 1 + ½ mv 1 2 = mgh 2 + ½ mv 2 2 mgh 1 = mgh 2 + ½ mv 2 2
53 Conservation of Mechanical Energy 1. Draw a sketch and choose a reference point for height. 2. Look at the first position of your object. If it is moving, it has Kinetic energy. If it has some height above or below your reference point, it has Potential energy. 3. Repeat for the second location. 4. If there is no friction or air resistance, set the mechanical energies at each location equal. E 1 = E 2 mgh 1 + ½mv 1 2 = mgh 2 + ½ mv If there is friction or air resistance, use E 1 E 2 to find the energy lost.
54 Efficiency No machine or motor or system in the real world is perfect. That is reflected in the efficiency. In the real world, the efficiency will always be less that 100%. It is found by Efficiency Energy out Energy in work out (resis tance) work in (effort)
55 Momentum: A measure of how difficult it is to stop a moving object. Momentum = mass x velocity p = mv Unit for momentum: kg m s
56 Momentum of a system of objects Momentum is a vector and therefore has both magnitude and direction. If two objects are moving in opposite direction, then one direction must be chosen as negative and the other as positive before determining the momentum of the system. What is the momentum of this two-object system, taking right to be the positive direction?
57 How do you change the momentum of an object? PUSH on it for a period of TIME. Impulse: the product of the force exerted on an object and the time interval during which it acts. Impulse = Force x time Impulse = F t
58 Whether you drop an egg on the floor or on a pillow, it loses all of its momentum. The same impulse is applied in either case, but the stopping time is so much less for the floor, the force is proportionally greater. Impulse = Force x time
59 The impulse given to an object is equal to the change in momentum of the object. Impulse = change in momentum Impulse = F t Change in momentum = D mv = mv f mv o Therefore: F t = D mv = mv f mv o Impulse Change in momentum
60 A boy pushed on a 8 kg crate at rest with a net force of 20 N for 4 seconds. How fast was the crate moving afterwards? F t = Dmv = mv f mv o F t = mv f
61 A boy pushed on a 8 kg crate initially moving at 2 m/s with a net force of 20 N for 4 seconds. How fast was the crate moving afterwards? Ft = Dmv = mv f mv o Ft + mv o = mv f
62 Momentum before = momentum after m 1 v 1 = (m 1 + m 2 ) v Momentum after a completely inelastic collision
63 Three Examples of conservation of momentum in collisions with equations: m 1 v 1o = m 2 v 2f m 1 v 1o - m 2 v 2o = - m 1 v 1f + m 2 v 2f m 1 v 1o + m 2 v 2o = m 1 v 1f + m 2 v 2f
64 Circuits ELECTRIC CIRCUIT: Charges moving in a closed loop A circuit requires a both a conductor, usually metal wires, and a charge pump. CHARGE PUMP: a device that provides a potential difference so that charges keep moving. Alessandro Volta The Potential Difference, DV, provided by the charge pump is called its VOLTAGE.
65 Resistance all conductors offer some resistance to the flow of charges, even metal wires. RESISTANCE = R voltage current V The unit for resistance is the OHM, W. This equation is often called OHM S LAW I
66 Example What is the resistance of an appliance if 2 amps of current run through it when supplied with 120 V? R = V / I R = 120 V / 2 A R = 60 W
67 WATER ANALOGY Water Electricity Flow of water current flow of charge Water pump keeps flow going charge pump psi. pressure voltage Pipes of different resistance wires of diameter different diameter
69 Electric Power Power is the rate that work is done or energy is transferred, that is Power = Energy (Joules) Time (seconds) Power is measured in Watts, W
70 Electric power delivered to a circuit by a power supply is given by Power = Current x Voltage P = IV
71 Parallel Circuit Series Circuit
73 Convection- the bulk flow of fluids, (gases or liquids, NOT solids) convection currents Conduction- direct contact Radiationelectromagnetic waves Transfer of Thermal Energy
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
South Pasadena AP Physics PRACTICE TEST for Midterm Exam FORMULAS Name Period Date / / d = vt d = v o t + ½ at 2 d = v o + v 2 t v = v o + at v 2 = v 2 o + 2ad v = v x 2 + v y 2 = tan 1 v y v v x = v cos
1 PHYS:100 LECTURE 9 MECHANICS (8) In this lecture we will discuss three topics: conservation of energy, friction, and uniform circular motion. 9 1. Conservation of Energy. Energy is one of the most fundamental
1 Algebra Based Physics Uniform Circular Motion 2016 07 20 www.njctl.org 2 Uniform Circular Motion (UCM) Click on the topic to go to that section Period, Frequency and Rotational Velocity Kinematics of
Physics 3204 Assignment 2.1 UCM DUE: Thursday Nov 24, 2017 Name: Part A. Multiple Choice: Select the best possible answer. Place the answer on the answer sheet. 1. In which situation is an object undergoing
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
Extra Circular Motion Questions Elissa is at an amusement park and is driving a go-cart around a challenging track. Not being the best driver in the world, Elissa spends the first 10 minutes of her go-cart
1. Which graph best represents the relationship between the acceleration of an object falling freely near the surface of Earth and the time that it falls? 2. The diagram below shows a worker using a rope
1 Motion Aristotle s Study Aristotle s Law of Motion This law of motion was based on false assumptions. He believed that an object moved only if something was pushing it. His arguments were based on everyday
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) You are standing in a moving bus, facing forward, and you suddenly fall forward as the
Circular Motion Study Guide North Allegheny High School Mr. Neff An object moving in a circle with radius at speed is said to be undergoing. In this case, the object is because it is constantly changing
Uniform (constant rotational rate) Circular Motion Uniform circular motion is the motion of an object in a circle with a constant speed and a constant radius. Centrifugal Force (center fleeing) is an apparent
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
PHYS 101 Previous Exam Problems CHAPTER 7 Kinetic Energy and Work Kinetic energy Work Work-energy theorem Gravitational work Work of spring forces Power 1. A single force acts on a 5.0-kg object in such
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
Circular Motion Test Review Name: Date: 1) Is it possible for an object moving with a constant speed to accelerate? Explain. A) No, if the speed is constant then the acceleration is equal to zero. B) No,
1. The angle between the vector! A = 3î! 2 ĵ! 5 ˆk and the positive y axis, in degrees, is closest to: A) 19 B) 71 C) 90 D) 109 E) 161 The dot product between the vector! A = 3î! 2 ĵ! 5 ˆk and the unit
Name: Central Force Particle Model 1 from Modeling Workshop Project 2006, 2010 Worksheet 1: Horizontal and Vertical UCM Honors Physics / Unit 09 / CFPM First, some warm-ups: 1. A bowling ball rolls down
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)
Pre Comp Review Questions 7 th Grade Section 1 Units 1. Fill in the missing SI and English Units Measurement SI Unit SI Symbol English Unit English Symbol Time second s second s. Temperature Kelvin K Fahrenheit
Circular Motion and Gravitation Section 1 Preview Section 1 Circular Motion Section 2 Newton s Law of Universal Gravitation Section 3 Motion in Space Section 4 Torque and Simple Machines Circular Motion
Name: Section This assignment is due at the first class in 2019 Part I Show all work! 7164-1 - Page 1 1) A car travels at constant speed around a section of horizontal, circular track. On the diagram provided
Base your answers to questions 1 and 2 on the information and diagram The diagram shows the top view of a 65-kilogram student at point A on an amusement park ride. The ride spins the student in a horizontal
Unit 5 Circular Motion and Gravitation In the game of tetherball, the struck ball whirls around a pole. In what direction does the net force on the ball point? 1) Tetherball 1) toward the top of the pole
1. 3. A ball attached to a string is whirled around a horizontal circle of radius r with a tangential velocity v. If the radius is changed to 2r and the magnitude of the centripetal force is doubled the
1 A dragster maintains a speedometer reading of 100 km/h and passes through a curve with a constant radius. Which statement is true? 1. The dragster rounded the curve at a changing speed of 100 km/h. 2.
AP Physics Free Response Practice Dynamics 14) In the system shown above, the block of mass M 1 is on a rough horizontal table. The string that attaches it to the block of mass M 2 passes over a frictionless
1) Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion? A) In equal times its speed changes by equal amounts. B) In
South Pasadena AP Physics PRACTICE TEST for Midterm Exam FORMULAS Name Period Date / / d = vt d = v ot + ½ at d = v o + v t v = v o + at v = v o + ad v = v x + v y = tan 1 v y v v x = v cos v y = v sin
Circular Motion and Gravitation Section 1 Preview Section 1 Circular Motion Section 2 Newton s Law of Universal Gravitation Section 3 Motion in Space Section 4 Torque and Simple Machines Circular Motion
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 2 WORK, POWER AND ENERGY TRANSFER IN DYNAMIC ENGINEERING SYSTEMS TUTORIAL 1 - LINEAR MOTION Be able to determine
1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.
PHYSICS FINAL EXAM REVIEW FIRST SEMESTER (01/2017) UNIT 1 Motion P2.1 A Calculate the average speed of an object using the change of position and elapsed time. P2.1B Represent the velocities for linear
Physics 214 Practice Exam 1 C Fill in on the OPSCAN sheet: 1) Name 2) Student identification number 3) Exam number as 01 4) Sign the OPSCAN sheet Important: This test consists of 15 multiple choice problems,
1 Forces 1. What is a force? 2. Is weight a force? 3. Define weight and mass. 4. In European countries, they measure their weight in kg and in the United States we measure our weight in pounds (lbs). Who
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
PSI AP Physics B Circular Motion Multiple Choice 1. A ball is fastened to a string and is swung in a vertical circle. When the ball is at the highest point of the circle its velocity and acceleration directions
Motion Motion is all around us. How something moves is probably the first thing we notice about some process. Quantifying motion is the were we learn how objects fall and thus gravity. Even our understanding
1 Physics 107: Ideas of Modern Physics Exam 1 Feb. 8, 2006 Name ID # Section # On the Scantron sheet, 1) Fill in your name 2) Fill in your student ID # (not your social security #) 3) Fill in your section
Name Period Date Honor Physics Final Exam Review Circuits You should be able to: Calculate the total (net) resistance of a circuit. Calculate current in individual resistors and the total circuit current.
Chapter 6: Work and Kinetic Energy Suppose you want to find the final velocity of an object being acted on by a variable force. Newton s 2 nd law gives the differential equation (for 1D motion) dv dt =
Galileo & Friction 2000 yrs prior to inertia idea, the popular belief was that all objects want to come to a rest. BUT 1600's: Galileo reasoned that moving objects eventually stop only because of a force
Circular Motion and Gravitation Notes 1 Centripetal Acceleration and Force This unit we will investigate the special case of kinematics and dynamics of objects in uniform circular motion. First let s consider
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
Circular Motion PreTest Date: 06/03/2008 Version #: 0 Name: 1. In a series of test runs, a car travels around the same circular track at different velocities. Which graph best shows the relationship between
Conceptual Physics Projectile and Circular Motion Review Packet Mr. Zimmerman Textbook Reference: pp. 33-42, 122-135 Key Terms (fill in definitions) projectile - any object that moves through the air or
Physics 20 Amusement Park Physics @ WEM Page 1 of 6 Group Members: Mindbender Rollercoaster Materials Needed: Stopwatch Maximum Height: 41.5 m First Hill Drop: 38.7 m Radius of the 1 st Loop: 7.177 m Height
1 PHYS:100 LETUE 9 MEHANIS (8) I. onservation of Energy In the last lecture the concept of kinetic energy was introduced. Kinetic energy (KE) is the energy that an object has by virtue of its motion KINETI
Use the following to answer question 1: A stationary 4-kg shell explodes into three pieces. Two of the fragments have a mass of 1 kg each and move along the paths shown with a speed of 10 m/s. The third
Formulas: a C = v 2 /r a = a C + a T F = Gm 1 m 2 /r 2 Chapter 5 Lecture Notes Physics 2414 - Strauss Constants: G = 6.67 10-11 N-m 2 /kg 2. Main Ideas: 1. Uniform circular motion 2. Nonuniform circular
Newton s Laws http://mathsforeurope.digibel.be/images Forces and Equilibrium If the net force on a body is zero, it is in equilibrium. dynamic equilibrium: moving relative to us static equilibrium: appears
Chapter 5 Review : Circular Motion; Gravitation Conceptual Questions 1) Is it possible for an object moving with a constant speed to accelerate? Explain. A) No, if the speed is constant then the acceleration
A 1500 kg car travels at a constant speed of 22 m/s around a circular track which has a radius of 80 m. Which statement is true concerning this car? A) The velocity of the car is changing. B) The car is
Motion in Our Daily Lives Emphasis on amusement parks, circular motion What kind of motions do we feel? Aside from vibrations, don t feel constant velocity Earth moves 30,000 m/s around sun only curves
Mechanics II 1. By applying a force F on a block, a person pulls a block along a rough surface at constant velocity v (see Figure below; directions, but not necessarily magnitudes, are indicated). Which
Test Wednesday, March 15 th 7pm, Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from: Chapter 4 Newton s Three Laws, Free Body Diagrams, Friction Chapter 5 (except
Exam #2, Chapters 5-7 Name PHYS 101-4M MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The quantity 1/2 mv2 is A) the potential energy of the object.
PHYS 1303 Final Exam Example Questions 1.Which quantity can be converted from the English system to the metric system by the conversion factor 5280 mi f 12 f in 2.54 cm 1 in 1 m 100 cm 1 3600 h? s a. feet
Multiple Choice 1. A ball is fastened to a string and is swung in a vertical circle. When the ball is at the highest point of the circle its velocity and acceleration directions are: (A) (B) (C) (D) 2.
LAHS Physics Semester 1 Final Practice Multiple Choice The following Multiple Choice problems are practice MC for the final. Some or none of these problems may appear on the real exam. Answers are provided
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) In the diagram shown, the unknown vector is 1) Diagram 1 A) B - A. B) A - B. C) A + B.
PSI AP Physics I Work and Energy Multiple-Choice questions 1. A driver in a 2000 kg Porsche wishes to pass a slow moving school bus on a 4 lane road. What is the average power in watts required to accelerate
Slide 1 / 30 1 car moves around a circular path of a constant radius at a constant speed. Which of the following statements is true? The car s velocity is constant The car s acceleration is constant The
Sample Final questions for PS 150 1) Which of the following is an accurate statement? A) Rotating a vector about an axis passing through the tip of the vector does not change the vector. B) The magnitude
Section 9.2 Centripetal Acceleration Centripetal Force Centripetal Acceleration Uniform Circular Motion The motion of an object in a circular path at a constant speed is known as uniform circular motion
Introductory Physics, High School Learning Standards for a Full First-Year Course I. C O N T E N T S T A N D A R D S Central Concept: Newton s laws of motion and gravitation describe and predict the motion
CHAPTER 6: IN AN ISOLATED SYSTEM, ENERGY IS TRANSFERRED FROM ONE OBJECT TO ANOTHER WHENEVER WORK IS DONE 6.1 Work and Energy In science, work is done when a force acts over a displacement; energy is transferred.
AP Physics C - Problem Drill 18: Gravitation and Circular Motion Question No. 1 of 10 Instructions: (1) Read the problem and answer choices carefully () Work the problems on paper as 1. Two objects some
Chapter 8: Newton s Laws Applied to Circular Motion Centrifugal Force is Fictitious? F actual = Centripetal Force F fictitious = Centrifugal Force Center FLEEing Centrifugal Force is Fictitious? Center
Slide 1 / 112 Uniform Circular Motion 2009 by Goodman & Zavorotniy Slide 2 / 112 Topics of Uniform Circular Motion (UCM) Kinematics of UCM Click on the topic to go to that section Period, Frequency, and
Chapter 6: Systems in Motion The celestial order and the beauty of the universe compel me to admit that there is some excellent and eternal Being, who deserves the respect and homage of men Cicero (106
Exam I solutions Name: Date: 1. Two cars are moving around a circular track at the same constant speed. If car 1 is at the inner edge of the track and car 2 is at the outer edge, then A) the acceleration
Name: Dynamics Test K/U 28 T/I 16 C 26 A 30 A. True/False Indicate whether the sentence or statement is true or false. 1. The normal force that acts on an object is always equal in magnitude and opposite
1992 Q1 AP* Circular & Gravitation Free Response Questions A 0.10-kilogram solid rubber ball is attached to the end of a 0.80-meter length of light thread. The ball is swung in a vertical circle, as shown
Cutnell/Johnson Physics Classroom Response System Questions Chapter 5 Dynamics of Uniform Circular Motion Interactive Lecture Questions 5.1.1. An airplane flying at 115 m/s due east makes a gradual turn
Name: Block: Date: Introductory Physics: Midyear Review 1. Motion and Forces Central Concept: Newton s laws of motion and gravitation describe and predict the motion of most objects. 1.1 Compare and contrast
Motion and Machine Unit Notes DO NOT LOSE! Name: Energy Ability to do work To cause something to change move or directions Energy cannot be created or destroyed, but transferred from one form to another.
Hour Exam #1 Hour Exam I, Wed. Feb. 14, in-class (50 minutes) Material Covered: Chap 1, 3-6 One page of notes (8.5 x 11 ) allowed 20 multiple choice questions Scantron sheets will be used - bring #2 HB
Chapter Six News! DO NOT FORGET We ARE doing Chapter 4 Sections 4 & 5 CH 4: Uniform Circular Motion The velocity vector is tangent to the path The change in velocity vector is due to the change in direction.
Lecture 12 Center of mass Uniform circular motion Today s Topics: Center of mass Uniform circular motion Centripetal acceleration and force Banked curves Define the center of mass The center of mass is