Unit 2 Physics and Chemistry Forces
|
|
- Hillary Wade
- 5 years ago
- Views:
Transcription
1 Unit 2: Forces Trigonometry In this unit we are going to use a mathematical tool that is called trigonometry. Trigonometry expresses the relationship between angles and lengths in right angled triangles. You need to learn what sine, cosine and tangent of an angle are: For example: If you know the sine, the cosine or the tangent of an angle, you can calculate this angle using the arcsine, the arccosine or the arctangent. For example, in this case: (you could have also used the arccosine or the arctangent) Forces Forces can make an object change its motion, its direction or even its shape. Forces are vectors. Not only is it important to know the magnitude of the force, but it is also important to know where the force is applied and its direction. We are going to express the forces using the unit vectors and. The unit of forces in the international system is the Newton. 1
2 For example: We can calculate the length of this vector using the Pithagorean theorem: Weight It is the force of attraction between the Earth (or any other planet or moon) and an object located on it. It is calculated with this formula: Where W is the weight expressed in N, m is the mass expressed in kg and g is the acceleration of gravity of the planet, expressed in m s -2. The acceleration of gravity on the Earth is 9.8 m s -2. Normal force When we stand on a horizontal surface, why don t we sink in it, if there is a force (the weight) that is directed to the center of the Earth? Because there is another force, called the normal force. The addition of these two forces is 0 and that s why we don t sink. The normal force is always perpendicular to the surface. 2
3 Force of friction It is the force exerted by a surface on an object when it is moving (or trying to move) across it. It opposes the movement of the body. It can be calculated using the formula: Where is the coefficient of friction (it has no units) and N is the normal force. The sliding friction (when the body is moving) is slightly smaller than the static friction (when the body is not moving), because the coefficient of friction of the sliding friction is slightly smaller than the coefficient of friction of the static friction. That is why it is easier to move an object once it is already moving. Newton s laws Newton s first law of motion: every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it. Newton s second law of motion: the relationship between an object's mass m, its acceleration, and the applied force is. Newton s third law of motion: for every action there is an equal and opposite reaction. Centripetal force When we have a uniform circular motion, the velocity changes although the speed remains constant (because the direction of the velocity changes, remember that velocity is speed with a direction). Whenever there is an acceleration, there is a force, and in this case this force is called centripetal force. Remember that the centripetal acceleration is: Therefore, the centripetal force is: a c =v 2 /R F c =m a c =m v 2 /R This force is directed to the centre of the circumference. 3
4 Hooke s law We are going to use this law to calculate the force exerted by a compressed or extended spring on an object that is attached to it. The length of the compression or extension of the spring is proportional to the force the object suffers. The relationship between the length and the force is: Where F is the force expressed in N, k is a constant whose value depends on the spring and x is the length of the compression or extension. If k is expressed in N/m, x must be expressed in m. If k is expressed in N/cm, x must be expressed in cm The (-) on the formula means that the force of the spring and the compression or extension always goes in opposite directions. We can also use this law to calculate the force needed to compress or stretch a spring a certain distance. In this case the formula is: 4
5 Exercises 1. Draw on a cartesian coordinate system and calculate the length and the angle they form with the horizontal axis for the following forces: 2. One force whose length is 40 N has a direction North-East and forms an angle of 30º with the horizontal axis. Express it as a vector using the unit vectors and. 3. One force whose length is 20 N has a direction South-East and forms an angle of 70º with the horizontal axis. Express it as a vector using the unit vectors and. 4. One force whose length is 65 N has a direction North-West and forms an angle of 45º with the horizontal axis. Express it as a vector using the unit vectors and. 5. One force whose length is 27 N has a direction South-West and forms an angle of 60º with the horizontal axis. Express it as a vector using the unit vectors and. 6. Three forces are applied on one body. These forces are, and. What is the total force applied on the body? Calculate its length and draw it on a Cartesian coordinate system. 7. Four forces are applied on one body. These forces are,, and. What is the total force applied on the body? Calculate its length and draw it on a Cartesian coordinate system. 8. What is the total force applied on the box? 9. What is the total force applied on the box? 5
6 10. Calculate the total force. Mass, weight and normal force 11. Calculate the weight on the surface of the Earth of a man whose mass is 80 kg. Calculate his weight on the surface of the Moon. (g Moon =1.6 m s -2 ). 12. Calculate the normal force in the following cases, drawing a free-body diagram: a) A box of 2.5 kg is at rest on a horizontal surface. b) A box of 2.5 kg is at rest on a horizontal surface and is pushed down by a force of 8 N. c) A box of 2.5 kg is at rest on a horizontal surface and is pulled up by a force of 8 N. 13. Calculate the acceleration of gravity in Jupiter if an astronaut whose mass is 70 kg weighs 1820 N there. Newton s second law Remember: in LUAM 14. A force of 64.8 N is exerted upon a body of 12 kg of mass, initially at rest. Calculate: a) The acceleration acquired by the body. b) The velocity it will have in 2.5 seconds. c) The space it will have travelled in 2.5 seconds. 15. a) Calculate the force you need to apply upon a sledge of 4.5 kg of mass so that it acquires an acceleration of 8 m/s 2. b) Calculate its velocity after 3.5 seconds if it was originally at rest. c) Calculate the space it has travelled in those 3.5 seconds. 6
7 16. The table shows the forces applied to a body and the accelerations it acquires in each case: F (N) a (m/s 2 ) a) Draw a graph representing the force versus the acceleration using the values of the table. b) Calculate the mass of this body. 17. A body of 15 kg of mass moves at a constant speed of 36 km/h. Calculate the force you need to apply during 5 seconds so that it stops. 18. A force is applied upon a body of 3 kg of mass and makes its velocity rise from 1 m/s to 5 m/s in 3 seconds. Calculate the value of the force. 19. Two men apply a force upon a big box of 10 kg. These forces are of 4 N and of 9 N. Calculate: a) The acceleration that the box acquires. b) The velocity it has after 10 seconds, if the box was originally at rest. c) The space it will have travelled after those 10 seconds. in these two situations: i) The forces are applied in the same direction. ii ) The forces are applied in opposite directions. 20. A ball is kicked with a force of 275 N. The impact of the foot with it lasts 0.1 seconds and thanks to this impact the ball acquires a speed of 20 m s -1. What is the mass of the ball? 7
8 Force of friction On a horizontal surface a box of 20 kg is pulled by a horizontal force of 30 N. The coefficient of friction of the surface is 0.1. a) Calculate the acceleration the box acquires. b) Calculate the space it travels in 5 seconds and the speed after those 5 seconds, if the box was originally at rest. a) The box will move on the X axis but it will not move on the Y axis, what means that the addition of all the forces on the Y axis is 0. Y axis: N-m g=0 N=m g=20 9.8=196 N X axis: F fr = N= =19.6 N F-F fr =m a b) v=v 0 +a t= =2.6 m/s A wardrobe is pushed with a horizontal force of 580 N. If the coefficient of friction is 0.4, calculate: a) The acceleration it acquires (the wardrobe has a mass of 60 kg). b) The velocity and the distance travelled in 5 seconds (the wardrobe was initially at rest). 22. A sailing boat of 200 kg is pushed by the air with a force of 300 N. At the same time, there is a force of friction with the water of 100 N. a) What is the acceleration? b) What is its speed after 20 seconds if it was initially at rest? 23. A body of 2 kg which moves with a speed of 20 m/s reaches a rough surface and after 5 seconds it stops. Calculate the coefficient of friction of this surface. 8
9 24. A body of 4 kg of mass is at rest along a horizontal surface. When you apply a force of 20 N, it acquires an acceleration of 1 m/s 2. Calculate: a) The friction force. b) The coefficient of friction. c) The acceleration it would acquire if there wasn t any friction. 25. A body whose mass is 7 kg moves with a speed of 9.2 m/s on a horizontal surface. A man applies a force of 3 N in the opposite direction of the motion, because he wants to stop the body. The coefficient of friction of the floor is Calculate: a) The acceleration the body acquires. b) The time it takes the body to stop. c) The space the body will have travelled before it stops On a horizontal surface a box of 20 kg is pulled by a force of 30 N that forms an angle of 30º with the floor. The coefficient of friction of the floor is 0.1. a) Calculate the acceleration the box acquires. b) Calculate the space the box travels in 5 seconds and the speed after those 5 seconds. a) F x =F cos30=30 cos30º=25.98 N F y =F sen30=30 sen30º=15 N Y axis N+F y -m g=0 N=m g-f y = =181 N X axis F fr = N= =18.1 N F x -F fr =m a b) v=v 0 +a t= =1.97 m/s
10 26. A man pulls a box of 20 kg with a force of 23 N that forms an angle of 10º with the horizontal floor. Calculate the acceleration the box acquires, knowing that the coefficient of friction is A box is pulled by a force of 30 N that forms an angle of 30º with the horizontal floor. Calculate the acceleration the box acquires, knowing that the coefficient of friction is The mass of the box is 15 kg. 28. Antonio pulls a box of 40 kg with a force of 85 N that forms an angle of 20º with the horizontal floor. At the same time Sandra pushes the box with a horizontal force of 70 N. Calculate the acceleration the box acquires, knowing that the coefficient of friction is 0.2. What will be the space the box will have travelled in 7 seconds? 29. You are dragging a box at a constant velocity on a horizontal surface whose coefficient of friction is 0.1. The box has a mass of 10 kg. Calculate: Ropes a) The force of friction of the surface. b) The force that you are applying. 30. Two boxes are hanging by a rope on both sides of a pulley, as you can see on the figure: One of the boxes has a mass of 11 kg and the other box has a mass of 4 kg. Calculate the acceleration of the motion and the tension of the rope. 10
11 31. Calculate the acceleration of the motion and the tension of the rope for the following situation: The box of the table has a mass of 10 kg and the other box has a mass of 20 kg. 32. Repeat the 31 st problem considering that the coefficient of friction of the table is
12 Inclined plane On an inclined plane that forms an angle of 35º with the floor, a box of 20 kg is pulled with a force of 140 N that is parallel to the surface. a) If the coefficient of friction is 0.1, calculate the acceleration the box acquires. b) If the end of the inclined plan is at a height of 60 cm, calculate the time the box will need to reach the end of the inclined plane, if it was originally at rest. a) Axis that is perpendicular to the plane (Y axis) N-W y =0 N=W y =W cos =m g cos Axis that is parallel to the plane (X axis) W x = W sen =m g sen F fr = N= m g cos F-F fr -W x =m a 0.58 b) =1.9 s
13 33. Calculate the acceleration of a box of 20 kg of mass that falls on an inclined plane that forms an angle of 30º with the horizontal plane. The coefficient of friction with the plane is Calculate the acceleration of a box of 40 kg of mass that falls on an inclined plane that forms an angle of 60º with the horizontal plane. The coefficient of friction is Centripetal Force 35. Calculate the acceleration and the centripetal force that a body has if it has a mass of 1500 kg and rounds a curve of 20 m of radius at a constant speed of 80 km/h. 36. A body makes a uniform circular motion with an angular speed of 3 rpm (revolutions per minute). The radius of the circumference is 4 metres. Calculate: a) The angular speed in rad/s and the linear speed in m/s. b) If the body has a mass of 5 kg, calculate the centripetal force of the motion. 37. On a circular motion whose radius is 2 metres and with constant angular speed, a body of 1.5 kg of mass travels an angle of 15 rad in 3 seconds. Calculate: a) The angular speed in rad/s. b) The angular speed in rpm. c) The linear speed in m/s and in km/h. d) The angle and the space the body has traveled in 2 hours and a half. e) The centripetal force. 13
14 Hooke s law 38. When we hang a body of 3.5 kg from a spring it extends 19 cm. Calculate the constant of the spring. 39. A spring has a constant of 120 N/m. Calculate how much it will extend when a body of 6 kg of mass is hung. 40. What is the mass of the body that must be hung on a spring whose constant is 9 N/cm for it to extend 50 mm? 14
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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
More informationPre-Comp Review Questions- 8 th Grade
Pre-Comp Review Questions- 8 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. Temperature K Fahrenheit Length
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Diagram 1 A) B - A. B) A - B. C) A + B. D) A B.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) In the diagram shown, the unknown vector is 1) Diagram 1 A) B - A. B) A - B. C) A + B.
More informationQuestion 01. A. Incorrect! This is not Newton s second law.
College Physics - Problem Drill 06: Newton s Laws of Motion Question No. 1 of 10 1. Which of the options best describes the statement: Every object continues in a state of rest or uniform motion in a straight
More informationIsaac Newton ( ) 1687 Published Principia Invented Calculus 3 Laws of Motion Universal Law of Gravity
Isaac Newton (1642-1727) 1687 Published Principia Invented Calculus 3 Laws of Motion Universal Law of Gravity Newton s First Law (Law of Inertia) An object will remain at rest or in a constant state of
More informationPHYSICS 231 Laws of motion PHY 231
PHYSICS 231 Laws of motion 1 Newton s Laws First Law: If the net force exerted on an object is zero the object continues in its original state of motion; if it was at rest, it remains at rest. If it was
More information1N the force that a 100g bar of chocolate exerts on your hand.
Forces: - - > cause change in motions Newton's first law = law of inertia In absence of a net external force acting upon it, a body will either remain at rest or continue in its rectilinear uniform motion.
More informationPHYS 101 Previous Exam Problems. Force & Motion I
PHYS 101 Previous Exam Problems CHAPTER 5 Force & Motion I Newton s Laws Vertical motion Horizontal motion Mixed forces Contact forces Inclines General problems 1. A 5.0-kg block is lowered with a downward
More informationYear 11 Physics Tutorial 84C2 Newton s Laws of Motion
Year 11 Physics Tutorial 84C2 Newton s Laws of Motion Module Topic 8.4 Moving About 8.4.C Forces Name Date Set 1 Calculating net force 1 A trolley was moved to the right by a force applied to a cord attached
More informationPhys101 Second Major-162 Zero Version Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: 1
Coordinator: Dr. Kunwar S. Saturday, March 25, 2017 Page: 1 Q1. Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 20 N, acting due east, and the other
More informationDynamics; Newton s Laws of Motion
Dynamics; Newton s Laws of Motion Force A force is any kind of push or pull on an object. An object at rest needs a force to get it moving; a moving object needs a force to change its velocity. The magnitude
More informationDynamics: Forces and Newton s Laws of Motion
Lecture 7 Chapter 5 Dynamics: Forces and Newton s Laws of Motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi Today we are going to discuss: Chapter 5: Force, Mass: Section 5.1
More informationy(t) = y 0 t! 1 2 gt 2. With y(t final ) = 0, we can solve this for v 0 : v 0 A ĵ. With A! ĵ =!2 and A! = (2) 2 + (!
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
More informationLecture PowerPoints. Chapter 5 Physics for Scientists & Engineers, with Modern Physics, 4 th edition. Giancoli
Lecture PowerPoints Chapter 5 Physics for Scientists & Engineers, with Modern Physics, 4 th edition 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely
More informationPOGIL: Newton s First Law of Motion and Statics. Part 1: Net Force Model: Read the following carefully and study the diagrams that follow.
POGIL: Newton s First Law of Motion and Statics Name Purpose: To become familiar with the forces acting on an object at rest Part 1: Net Force Model: Read the following carefully and study the diagrams
More informationChapter 4. Forces and Newton s Laws of Motion. continued
Chapter 4 Forces and Newton s Laws of Motion continued Quiz 3 4.7 The Gravitational Force Newton s Law of Universal Gravitation Every particle in the universe exerts an attractive force on every other
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 informationChapter Four Holt Physics. Forces and the Laws of Motion
Chapter Four Holt Physics Forces and the Laws of Motion Physics Force and the study of dynamics 1.Forces - a. Force - a push or a pull. It can change the motion of an object; start or stop movement; and,
More informationTwentieth SLAPT Physics Contest Southern Illinois University Edwardsville April 30, Mechanics Test
Twentieth SLAPT Physics Contest Southern Illinois University Edwardsville April 30, 2005 Mechanics Test Please answer the following questions on the supplied answer sheet. You may write on this test booklet,
More information3. What type of force is the woman applying to cart in the illustration below?
Name: Forces and Motion STUDY GUIDE Directions: Answer the following questions. 1. What is a force? a. A type of energy b. The rate at which an object performs work c. A push or a pull d. An object that
More informationUniversity Physics (Prof. David Flory) Chapt_06 Saturday, October 06, 2007 Page 1
University Physics (Prof. David Flory) Chapt_06 Saturday, October 06, 2007 Page 1 Name: Date: 1. A crate resting on a rough horizontal floor is to be moved horizontally. The coefficient of static friction
More informationQuantitative Skills in AP Physics 1
This chapter focuses on some of the quantitative skills that are important in your AP Physics 1 course. These are not all of the skills that you will learn, practice, and apply during the year, but these
More informationDynamics: Forces. Lecture 7. Chapter 5. Course website:
Lecture 7 Chapter 5 Dynamics: Forces Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi Today we are going to discuss: Chapter 5: Some leftovers from rotational motion Ch.4 Force,
More informationPHYSICS 221, FALL 2010 EXAM #1 Solutions WEDNESDAY, SEPTEMBER 29, 2010
PHYSICS 1, FALL 010 EXAM 1 Solutions WEDNESDAY, SEPTEMBER 9, 010 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively. In
More informationDynamics Review Outline
Dynamics Review Outline 2.1.1-C Newton s Laws of Motion 2.1 Contact Forces First Law (Inertia) objects tend to remain in their current state of motion (at rest of moving at a constant velocity) until acted
More informationContents. Concept Map
Contents 1. General Notes on Forces 2. Effects of Forces on Motion 3. Effects of Forces on Shape 4. The Turning Effect of Forces 5. The Centre of Gravity and Stability Concept Map April 2000 Forces - 1
More informationNewton s First Law. Newton s Second Law 9/29/11
Newton s First Law Any object remains at constant velocity unless acted upon by a net force. AND In order for an object to accelerate, there must be a net force acting on it. Constant velocity could mean
More informationPYP 001 FIRST MAJOR EXAM CODE: TERM: 151 SATURDAY, OCTOBER 17, 2015 PAGE: 1
TERM: 151 SATURDAY, OCTOBER 17, 2015 PAGE: 1 *Read the following (20) questions and choose the right answer: 1 The figure below represents the speed-time graph for the motion of a vehicle during a 7.0-minute
More informationQ1. Which of the following is the correct combination of dimensions for energy?
Tuesday, June 15, 2010 Page: 1 Q1. Which of the following is the correct combination of dimensions for energy? A) ML 2 /T 2 B) LT 2 /M C) MLT D) M 2 L 3 T E) ML/T 2 Q2. Two cars are initially 150 kilometers
More informationReview: Advanced Applications of Newton's Laws
Review: Advanced Applications of Newton's Laws 1. The free-body diagram of a wagon being pulled along a horizontal surface is best represented by a. A d. D b. B e. E c. C 2. The free-body diagram of a
More informationKINETIC ENERGY AND WORK
Chapter 7: KINETIC ENERGY AND WORK 1 Which of the following is NOT a correct unit for work? A erg B ft lb C watt D newton meter E joule 2 Which of the following groups does NOT contain a scalar quantity?
More informationΣF=ma SECOND LAW. Make a freebody diagram for EVERY problem!
PHYSICS HOMEWORK #31 SECOND LAW ΣF=ma NEWTON S LAWS Newton s Second Law of Motion The acceleration of an object is directly proportional to the force applied, inversely proportional to the mass of the
More informationPhysics 2211 M Quiz #2 Solutions Summer 2017
Physics 2211 M Quiz #2 Solutions Summer 2017 I. (16 points) A block with mass m = 10.0 kg is on a plane inclined θ = 30.0 to the horizontal, as shown. A balloon is attached to the block to exert a constant
More informationNewton s 3 Laws of Motion
Newton s 3 Laws of Motion 1. If F = 0 No change in motion 2. = ma Change in motion Fnet 3. F = F 1 on 2 2 on 1 Newton s First Law (Law of Inertia) An object will remain at rest or in a constant state of
More informationPHYS 101 Previous Exam Problems. Kinetic Energy and
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
More information1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3
1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.
More information(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B.
2003 B1. (15 points) A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Student A of mass 70 kg, who is at rest on
More informationUse the following to answer question 1:
Use the following to answer question 1: On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to
More informationAP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force).
AP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force). 1981M1. A block of mass m, acted on by a force of magnitude F directed horizontally to the
More informationLecture Outline Chapter 6. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.
Lecture Outline Chapter 6 Physics, 4 th Edition James S. Walker Chapter 6 Applications of Newton s Laws Units of Chapter 6 Frictional Forces Strings and Springs Translational Equilibrium Connected Objects
More informationDynamics Review Checklist
Dynamics Review Checklist Newton s Laws 2.1.1 Explain Newton s 1 st Law (the Law of Inertia) and the relationship between mass and inertia. Which of the following has the greatest amount of inertia? (a)
More informationPhysics Exam 2 October 11, 2007
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam is closed book, and you may have only pens/pencils and a calculator (no stored equations or programs and no graphing). Show
More informationResolving Forces. This idea can be applied to forces:
Page 1 Statics esolving Forces... 2 Example 1... 3 Example 2... 5 esolving Forces into Components... 6 esolving Several Forces into Components... 6 Example 3... 7 Equilibrium of Coplanar Forces...8 Example
More information5. Use the graph below to determine the displacement of the object at the end of the first seven seconds.
Name: Hour: 1. The slope of the tangent on a position-time graph equals the: Sem 1 Exam Review Advanced Physics 2015-2016 2. The area under the curve on a velocity-time graph equals the: 3. The graph below
More informationPhysics 100: Lecture 4b Chapter 4
Physics 100: Lecture 4b Chapter 4 Today s Agenda More discussion of dynamics Recap The Free Body Diagram The tools we have for making & solving problems:» Ropes & Pulleys (tension)» Hooke s Law (springs)
More informationAP Physics Free Response Practice Dynamics
AP Physics Free Response Practice Dynamics 14) In the system shown above, the block of mass M 1 is on a rough horizontal table. The string that attaches it to the block of mass M 2 passes over a frictionless
More informationChapter 4 Dynamics: Newton s Laws of Motion
Chapter 4 Dynamics: Newton s Laws of Motion Units of Chapter 4 Force 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 informationPre Comp Review Questions 8 th Grade Answers
Pre Comp Review Questions 8 th Grade Answers 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
More information24/06/13 Forces ( F.Robilliard) 1
R Fr F W 24/06/13 Forces ( F.Robilliard) 1 Mass: So far, in our studies of mechanics, we have considered the motion of idealised particles moving geometrically through space. Why a particular particle
More informationPhysics B Newton s Laws AP Review Packet
Force A force is a push or pull on an object. Forces cause an object to accelerate To speed up To slow down To change direction Unit: Newton (SI system) Newton s First Law The Law of Inertia. A body in
More informationDynamics Review Checklist
Dynamics Review Checklist Newton s Laws 2.1.1 Explain Newton s 1 st Law (the Law of Inertia) and the relationship between mass and inertia. Which of the following has the greatest amount of inertia? (a)
More information1. (P2.1A) The picture below shows a ball rolling along a table at 1 second time intervals. What is the object s average velocity after 6 seconds?
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
More informationQ16.: A 5.0 kg block is lowered with a downward acceleration of 2.8 m/s 2 by means of a rope. The force of the block on the rope is:(35 N, down)
Old Exam Question Ch. 5 T072 Q13.Two blocks of mass m 1 = 24.0 kg and m 2, respectively, are connected by a light string that passes over a massless pulley as shown in Fig. 2. If the tension in the string
More information+F N = -F g. F g = m٠a g
Force Normal = F N Force Normal (or the Normal Force, abbreviated F N ) = F N = The contact force exerted by a surface on an object. The word Normal means perpendicular to Therefore, the Normal Force is
More informationDynamics: Forces and Newton s Laws of Motion
Lecture 7 Chapter 5 Physics I Dynamics: Forces and Newton s Laws of Motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi Today we are going to discuss: Chapter 5: Force, Mass:
More informationA. B. C. D. E. v x. ΣF x
Q4.3 The graph to the right shows the velocity of an object as a function of time. Which of the graphs below best shows the net force versus time for this object? 0 v x t ΣF x ΣF x ΣF x ΣF x ΣF x 0 t 0
More informationExam 1 Solutions. Kinematics and Newton s laws of motion
Exam 1 Solutions Kinematics and Newton s laws of motion No. of Students 80 70 60 50 40 30 20 10 0 PHY231 Spring 2012 Midterm Exam 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Raw Score 1. In which
More informationChapter 2. Forces & Newton s Laws
Chapter 2 Forces & Newton s Laws 1st thing you need to know Everything from chapter 1 Speed formula Acceleration formula All their units There is only 1 main formula, but some equations will utilize previous
More informationPH201 Chapter 5 Solutions
PH201 Chapter 5 Solutions 5.4. Set Up: For each object use coordinates where +y is upward. Each object has Call the objects 1 and 2, with and Solve: (a) The free-body diagrams for each object are shown
More information(35+70) 35 g (m 1+m 2)a=m1g a = 35 a= =3.27 g 105
Coordinator: Dr. W. L-Basheer Monday, March 16, 2015 Page: 1 Q1. 70 N block and a 35 N block are connected by a massless inextendable string which is wrapped over a frictionless pulley as shown in Figure
More informationYou may use g = 10 m/s 2, sin 60 = 0.87, and cos 60 = 0.50.
1. A child pulls a 15kg sled containing a 5kg dog along a straight path on a horizontal surface. He exerts a force of a 55N on the sled at an angle of 20º above the horizontal. The coefficient of friction
More informationThe diagram below shows a block on a horizontal frictionless surface. A 100.-newton force acts on the block at an angle of 30. above the horizontal.
Name: 1) 2) 3) Two students are pushing a car. What should be the angle of each student's arms with respect to the flat ground to maximize the horizontal component of the force? A) 90 B) 0 C) 30 D) 45
More informationis acting on a body of mass m = 3.0 kg and changes its velocity from an initial
PHYS 101 second major Exam Term 102 (Zero Version) Q1. A 15.0-kg block is pulled over a rough, horizontal surface by a constant force of 70.0 N acting at an angle of 20.0 above the horizontal. The block
More informationPHYSICS 221, FALL 2009 EXAM #1 SOLUTIONS WEDNESDAY, SEPTEMBER 30, 2009
PHYSICS 221, FALL 2009 EXAM #1 SOLUTIONS WEDNESDAY, SEPTEMBER 30, 2009 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively.
More informationChapter 5 Force and Motion
Chapter 5 Force and Motion Chapter Goal: To establish a connection between force and motion. Slide 5-2 Chapter 5 Preview Slide 5-3 Chapter 5 Preview Slide 5-4 Chapter 5 Preview Slide 5-5 Chapter 5 Preview
More informationHSC PHYSICS ONLINE B F BA. repulsion between two negatively charged objects. attraction between a negative charge and a positive charge
HSC PHYSICS ONLINE DYNAMICS TYPES O ORCES Electrostatic force (force mediated by a field - long range: action at a distance) the attractive or repulsion between two stationary charged objects. AB A B BA
More informationEnd-of-Chapter Exercises
End-of-Chapter Exercises For all these exercises, assume that all strings are massless and all pulleys are both massless and frictionless. We will improve our model and learn how to account for the mass
More informationA force is a push or a pull.
A force is a push or a pull. Contact forces arise from physical contact. Action at adistance forces do not require contact and include gravity and electrical forces. 1 Force is a vector [F]=[Newton]=[N]
More informationForce 10/01/2010. (Weight) MIDTERM on 10/06/10 7:15 to 9:15 pm Bentley 236. (Tension)
Force 10/01/2010 = = Friction Force (Weight) (Tension), coefficient of static and kinetic friction MIDTERM on 10/06/10 7:15 to 9:15 pm Bentley 236 2008 midterm posted for practice. Help sessions Mo, Tu
More informationUnit 2 Part 2: Forces Note 1: Newton`s Universal Law of Gravitation. Newton`s Law of Universal Gravitation states: Gravity. Where: G = M = r =
Unit 2 Part 2: Forces Note 1: Newton`s Universal Law of Gravitation Gravity Newton`s Law of Universal Gravitation states: Where: G = = M = m = r = Ex 1: What is the force of gravity exerted on a 70.0 kg
More informationCIRCULAR MOTION AND SHM : Higher Level Long Questions.
CIRCULAR MOTION AND SHM : Higher Level Long Questions. ***ALL QUESTIONS ARE HIGHER LEVEL**** Circular Motion 2012 Question 12 (a) (Higher Level ) An Olympic hammer thrower swings a mass of 7.26 kg at the
More informationTheme 2 - PHYSICS UNIT 2 Forces and Moments. A force is a push or a pull. This means that whenever we push or pull something, we are doing a force.
Forces A force is a push or a pull. This means that whenever we push or pull something, we are doing a force. Forces are measured in Newtons (N) after the great physicist Sir Isaac Newton. The instrument
More informationChapter 4. Forces and Newton s Laws of Motion. continued
Chapter 4 Forces and Newton s Laws of Motion continued 4.9 Static and Kinetic Frictional Forces When an object is in contact with a surface forces can act on the objects. The component of this force acting
More informationEquilibrium Notes 1 Translational Equilibrium
Equilibrium Notes 1 Translational Equilibrium Ex. A 20.0 kg object is suspended by a rope as shown. What is the net force acting on it? Ex. Ok that was easy, now that same 20.0 kg object is lifted at a
More informationFORCE. Definition: Combining Forces (Resultant Force)
1 FORCE Definition: A force is either push or pull. A Force is a vector quantity that means it has magnitude and direction. Force is measured in a unit called Newtons (N). Some examples of forces are:
More informationPRACTICE TEST for Midterm Exam
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
More information= 40 N. Q = 60 O m s,k
Sample Exam #2 Technical Physics Multiple Choice ( 6 Points Each ): F app = 40 N 20 kg Q = 60 O = 0 1. A 20 kg box is pulled along a frictionless floor with an applied force of 40 N. The applied force
More informationTutorial 1. Phys 201 Examples
Tutorial 1 Phys 201 Examples 0 TUTORIAL 1. PHYS 201 EXAMPLES 1 Examples PHYS 201 - General Physics Eastern Oregon University TUTORIAL 1. PHYS 201 EXAMPLES 2 Chapter 1 Systems of Measurement Example 1.0:
More information# x = v f + v & % ( t x = v
Name: Physics Chapter 4 Study Guide ----------------------------------------------------------------------------------------------------- Useful Information: F = ma µ = F fric a = v f " v i t # x = v f
More informationCircle the correct answer. For those questions involving calculations, working MUST be shown to receive credit.
Dynamics Assignment 3 Name: Multiple Choice. Circle the correct answer. For those questions involving calculations, working MUST be shown to receive credit. 1. Which statement is always true regarding
More informationPHYS 1303 Final Exam Example Questions
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
More informationPHYSICS 221 SPRING EXAM 1: February 20, 2014; 8:15pm 10:15pm
PHYSICS 221 SPRING 2014 EXAM 1: February 20, 2014; 8:15pm 10:15pm Name (printed): Recitation Instructor: Section # INSTRUCTIONS: This exam contains 25 multiple-choice questions plus 2 extra credit questions,
More informationPHYSICS. Chapter 5 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT Pearson Education, Inc.
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 5 Lecture RANDALL D. KNIGHT Chapter 5 Force and Motion IN THIS CHAPTER, you will learn about the connection between force and motion.
More informationSection /07/2013. PHY131H1F University of Toronto Class 9 Preclass Video by Jason Harlow. Based on Knight 3 rd edition Ch. 5, pgs.
PHY131H1F University of Toronto Class 9 Preclass Video by Jason Harlow Based on Knight 3 rd edition Ch. 5, pgs. 116-133 Section 5.1 A force is a push or a pull What is a force? What is a force? A force
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 informationExam 2 Phys Fall 2002 Version A. Name ID Section
Closed book exam - Calculators are allowed. Only the official formula sheet downloaded from the course web page can be used. You are allowed to write notes on the back of the formula sheet. Use the scantron
More informationChapters 5-6. Dynamics: Forces and Newton s Laws of Motion. Applications
Chapters 5-6 Dynamics: orces and Newton s Laws of Motion. Applications That is, describing why objects move orces Newton s 1 st Law Newton s 2 nd Law Newton s 3 rd Law Examples of orces: Weight, Normal,
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 information66 Chapter 6: FORCE AND MOTION II
Chapter 6: FORCE AND MOTION II 1 A brick slides on a horizontal surface Which of the following will increase the magnitude of the frictional force on it? A Putting a second brick on top B Decreasing the
More informationYanbu University College. General Studies Department. Phsc001 Course (111) Chapter2 (forces) Worksheet Solutions
1 Yanbu University College General Studies Department Phsc001 Course (111) Chapter2 (forces) Worksheet Solutions 2 Chapter 2 Worksheet Part 1 Matching: Match the definitions with the given concepts. 1.
More informationEnd-of-Chapter Exercises
End-of-Chapter Exercises Exercises 1 12 are conceptual questions that are designed to see if you have understood the main concepts of the chapter. 1. When a spring is compressed 10 cm, compared to its
More informationWhat is a Force? Free-Body diagrams. Contact vs. At-a-Distance 11/28/2016. Forces and Newton s Laws of Motion
Forces and Newton s Laws of Motion What is a Force? In generic terms: a force is a push or a pull exerted on an object that could cause one of the following to occur: A linear acceleration of the object
More informationPhysics 101 Lecture 5 Newton`s Laws
Physics 101 Lecture 5 Newton`s Laws Dr. Ali ÖVGÜN EMU Physics Department The Laws of Motion q Newton s first law q Force q Mass q Newton s second law q Newton s third law qfrictional forces q Examples
More informationBIT1002 Newton's Laws. By the end of this you should understand
BIT1002 Newton's Laws By the end of this you should understand Galileo's Law of inertia/newton's First Law What is an Inertial Frame The Connection between force and Acceleration: F=ma 4. The Third Law
More informationChapter 4. Dynamics: Newton s Laws of Motion. That is, describing why objects move
Chapter 4 Dynamics: Newton s Laws of Motion That is, describing why objects move orces Newton s 1 st Law Newton s 2 nd Law Newton s 3 rd Law Examples of orces: Weight, Normal orce, Tension, riction ree-body
More information3. The diagram shows two bowling balls, A and B, each having a mass of 7.00 kilograms, placed 2.00 meters apart.
1. Which statement describes the gravitational force and the electrostatic force between two charged particles? A) The gravitational force may be either attractive or repulsive, whereas the electrostatic
More informationCHAPTER 4 NEWTON S LAWS OF MOTION
62 CHAPTER 4 NEWTON S LAWS O MOTION CHAPTER 4 NEWTON S LAWS O MOTION 63 Up to now we have described the motion of particles using quantities like displacement, velocity and acceleration. These quantities
More informationMHS. Applied Math. Sample Questions. Exam to go from grade 11 to grade 12
MHS Applied Math Exam to go from grade 11 to grade 1 Sample Questions 1. OP + PA + AR = 1. OPAR. AR 3. OR. Given two vectors u and v in the box below, how can we correctly find their sum, u + v, using
More informationForce mediated by a field - long range: action at a distance: The attractive or repulsion between two stationary charged objects.
VISUAL PHYSICS ONLINE DYNAMICS TYPES O ORCES 1 Electrostatic force orce mediated by a field - long range: action at a distance: The attractive or repulsion between two stationary charged objects. AB A
More informationCh 6 Using Newton s Laws. Applications to mass, weight, friction, air resistance, and periodic motion
Ch 6 Using Newton s Laws Applications to mass, weight, friction, air resistance, and periodic motion Newton s 2 nd Law Applied Galileo hypothesized that all objects gain speed at the same rate (have the
More information