1 Physics for Scientists and Engineers Chapter 6 Dynamics I: Motion Along a Line Spring, 008 Ho Jung Paik
2 Applications of Newton s Law Objects can be modeled as particles Masses of strings or ropes are negligible When a rope attached to an object is pulling it, the magnitude of that force,, is the tension in the rope Interested only in the external forces acting on the object Can neglect internal reaction forces 7-eb-08 Paik p.
3 Objects in Equilibrium If the acceleration of an object is zero, the object is said to be in equilibrium Mathematically, the net force acting on the object is zero Apply Newton s first Law in component form: r 0 x 0, y 0 7-eb-08 Paik p. 3
4 Static Equilibrium, Example A traffic light is suspended with three ropes as shown in the figure. ind the tension in the three ropes. he traffic light does not move, so the net force must be zero. Static equilibrium Need two free-body diagrams: one for the light and the other for the knot. 7-eb-08 Paik p. 4
5 Example, cont Light: y 0: 3 mg 0 3 mg Knot : x 0: cos 37 + cos y 0: sin 37 + sin mg 0.60 mg 7-eb-08 Paik p. 5
6 Dynamic Equilibrium, Example A car with a weight of 5,000 N is being towed up a 0 slope at constant velocity. riction is negligible. he tow rope is rated at 6000 N. Will it break? Know: θ 0, w 5,000 N ind: 7-eb-08 Paik p. 6
7 Example, cont Apply Newton s nd Law (a 0) r 0 x wsinθ 0 y n wcosθ 0 rom the x equation, wsinθ (5,000 N)sin N 7-eb-08 Paik p. 7 0 Since < 6,000 N, the rope won t break. Note that y equation is not needed. Check solution at θ 0 and 90.
8 Objects Experiencing a Net orce If an object experiences an acceleration, there must be a nonzero net force acting on it Draw a free-body diagram Apply Newton s Second Law in component form: r x r ma ma x, y ma y 7-eb-08 Paik p. 8
9 Crate Pulled on loor, Example 3 A crate weighing 490 N is pulled with a rope on a frictionless floor. he tension in the rope is 0 N. What is the resulting acceleration of the crate? orces acting on the crate: ension: 0 N Gravitational force: g 490 N Normal force n exerted by the floor 7-eb-08 Paik p. 9
10 Example 3, cont Apply Newton s nd Law in component form: Solve for the unknown a x : a x m 0 N m/s 490 N/9.80 m/s If a constant and v x0 0, then v a t (0.400 m/s ) t xt x 7-eb-08 Paik p. 0
11 Car on Incline, Example 4 A car is at rest on top of a hill. ind the car s velocity at the bottom of the 30.0 m hill with an incline angle of orces acting on the object: Normal force n the plane Gravitational force g straight down Choose the coordinate system with x // the incline, y the incline Replace the force of gravity with its components 7-eb-08 Paik p.
12 Example 4, cont Apply Newton s nd Law in component form: a x x y 0 mg sin 30 max n mg cos30 0 Solve for the unknown a x : 0 g sin m/s a x? he velocity at the bottom of the slope is obtained from v xf v + a Δx, v xi x xf 0+ (4.90m/s )30.0 m 7.m/s 7-eb-08 Paik p.
13 Weight & Apparent Weight, Weight is the force exerted by the earth on mass m w mg, where g 9.80 m/s Consider a scale and weight at rest When the weight comes to rest with respect to the spring, sp w he pointer is calibrated to read sp w at equilibrium (a 0) 7-eb-08 Paik p. 3
14 Weight & Apparent Weight, Consider an object hanging from a scale in an elevator moving up with acceleration a sp he y component of nd Law: y sp sp mg m( g + a) ma he spring dial comes to rest with the force sp m(g+a) > w m (g+a) is the apparent weight 7-eb-08 Paik p. 4
15 Weight & Apparent Weight, 3 Now consider the elevator accelerating downward sp he y component of nd Law: mg m( a) y sp sp m( g a) he scale reads sp m(g -a) < w If a g (freefall), the apparent weight is 0 weightless 7-eb-08 Paik p. 5
16 Multiple Weights/Objects orces acting on the objects: ension (same along the same string) Gravitational force Normal force and friction Objects connected by a (non-stretch) string have the same magnitude of acceleration Draw the free-body diagrams Apply Newton s Laws 7-eb-08 Paik p. 6
17 7-eb-08 Paik p. 7 Example 5 Check if the answer makes sense. m m a 0 m << m a g, m >> m a g g m m m m a a g m a g m a g m a m m g m a g m m a m g m y y ) ( ) ( ) ( ) ( : ) ( : An object of mass m is connected to a light string that passes over a frictionless pulley and is fastened to another object of mass m. ind the acceleration of the objects.
18 Multiple Pulleys, Example 6 Assume the block is accelerated upward, i.e. a > 0. Let 0.0 N and M 5.00 kg. ind the acceleration and all the s. All the pulleys and strings are considered massless and there is no friction in the pulleys 3 Note that top pulley doesn t move. he bottom pulley and mass M have the same acceleration. 7-eb-08 Paik p. 8
19 7-eb-08 Paik p N 60 N, 3 0 N,,.8 m/s 9.8 m/s 5 kg (0 N) herefore, ) ( 0 : ) ( ), ( 0 : ) ( ) ( 0 : ) ( : g M a a g M S a g M a g M P a g M a g M a P a g M Ma Mg M y y upper y lower y Example 6, cont a <0!
20 Example 7 A 5.00-kg object placed on a frictionless, horizontal table is connected to a cable that passes over a pulley and then is fastened to a hanging 9.00-kg object. ind the acceleration of the objects and the tension in the string. m m a 5 kg : 9 kg : m m + m 5.00 kg 6.30 m/s x y g m a, m g ( a) m/s m y 3.5 N n m g 6.30 m/s 7-eb-08 Paik p. 0 0 n m g a a m g
21 Ball and Cube, Example 8 wo objects are connected by a light string that passes over a frictionless pulley. he incline is frictionless, and m.00 kg, m 6.00 kg, and θ Draw free-body diagrams of both objects. ind (a) the acceleration of the objects, (b) the tension in the string, and (c) the speed of each object.00 s after being released from rest. 7-eb-08 Paik p.
22 Example 8, cont y (a) m m (b) (c) v f.00 kg : 6.00 kg : m v y x a i m g sinθ ( a m/s m g m g sinθ m g m + m + g) m a 6.7 N m a at 0 m/s + (3.57 m/s 3.57 m/s )(.00 s) 7-eb-08 Paik p. a x θ m g m g cosθ a m g n y m g sinθ x θ 55. 0
23 orces of riction When an object is in contact with a surface, there is a resistance to its motion, the force of friction his is due to the interaction between the molecules on the mating surfaces riction is proportional to the normal force Static friction: ƒ s µ s n and kinetic friction: ƒ k µ k n hese equations relate the magnitudes of the forces only Generally, µ s > µ k he coefficient of friction (µ) depends on the surfaces in contact but is nearly independent of the area of contact 7-eb-08 Paik p. 3
24 Static riction here is a maximum static frictional force, f s,max µ s n. If the applied force is greater, then the object slips. 7-eb-08 Paik p. 4
25 Kinetic riction he kinetic friction coefficient is less than the static friction coefficient, µ k < µ s. herefore, k f µ k n constant < s,max f. 7-eb-08 Paik p. 5
26 riction orces vs. Applied orce 7-eb-08 Paik p. 6
27 Rolling riction Kinetic friction is operable for a wheel sliding on a surface Rolling friction is for a non-sliding, rolling wheel f r µ r n and points opposite to the motion µ r < µ k 7-eb-08 Paik p. 7
28 Some Coefficients of riction 7-eb-08 Paik p. 8
29 riction in Newton s Laws Draw the free-body diagram, including the force of kinetic friction Opposes the motion Is parallel to the surfaces in contact riction is a force, so it is simply included in the Σ in Newton s Laws Continue with the solution as with any Newton s Law problem 7-eb-08 Paik p. 9
30 Static riction - Measuring µ s he block tends to slide down the plane, so the friction acts up the plane Increase θ up to the instant slipping starts Apply Newton s Law: f x mg sinθ fs, max 0, s,max mg sinθ μ n μ mg cosθ s s y n mg cosθ 0 μ s tanθ 7-eb-08 Paik p. 30
31 Sliding Down a Plane, Example 9 If µ s 0.30 and θ 30, will the cube slide? Will not slide if f s mg sinθ 0.5mg Since f s µ s n and n mg cosθ, s f µ s mg cos x 0.866mg 0.6mg Will slide 7-eb-08 Paik p. 3
32 ruck with a Crate, Example 0 A truck is carrying a crate up a 0 hill. he coefficient of static friction between the truck bed and the crate is μ s ind the maximum acceleration that the truck can reach before the crate begins to slip backward. n he crate will not slip if its acceleration is equal to that of the truck. or it to be accelerated, some force must act on it. One of these is the static friction force s f. his force must be directed upward to keep the crate from sliding backwards. As the acceleration of the truck increases, so must s f. Once s, f max µ s n is reached, the crate will start sliding. 7-eb-08 Paik p. 3
33 Example 0, cont Applying Newton's law to the crate : Σ Σ x y mg mg a max sinθ + μ n Substitutingθ 0 a n max mg cosθ mg sinθ + μ mg cosθ + n s g( μ cosθ sinθ ) s.68 m/s s 0 cosθ and ma μ max ma s max 0.35, n 7-eb-08 Paik p. 33
34 Hockey Puck, Example Consider a puck is hit and given a speed v 0.0 m/s. How far will it go if µ k 0.? ) x : f k ma y : n mg 0 a f k /m µ k n/m µ k g ) Use v f v i + aδx v i 0.0 m/s, v f 0, Δx? Δx v i /a 400/( x 0. x 9.80) 04 m 7-eb-08 Paik p. 34
35 Pulling at an Angle, Example What is the optimum angle for minimizing the pulling force that moves the block horizontally at constant velocity? Pulling straight up minimizes the normal force and hence the frictional force. However, it does not move the block horizontally. Pulling parallel to the table maximizes the normal force and hence the frictional force. he optimum angle must be somewhere in between. 7-eb-08 Paik p. 35
36 x : y : n f f n herefore, Example, cont + cosθ ma + sinθ mg mg Substituting for Minimum occurs k sinθ μ ( mg θ f tan in the when x k 0 sinθ ) μ x 0 equation : d μkmg dθ μkmg μ sinθ + cosθ μ cosθ sinθ ( μ sinθ + cosθ ) minimizes the pulling force. 7-eb-08 Paik p. 36 k k k 0
37 Example 3 A van accelerates down a hill, going from rest to 30.0 m/s in 6.00 s. During the acceleration, a toy (m 0.00 kg) hangs by a string from the van's ceiling. he acceleration is such that the string remains perpendicular to the ceiling. Determine: (a) the angle and (b) the tension in the string. 7-eb-08 Paik p. 37
38 Example 3, cont Choose x-axis pointing down the slope. x : v f v i + at 30.0 m/s 0 + a(6.00 s) a 5.00 m/s Consider the forces on the toy. x : mg sinθ m (5.00 m/s ) θ 30.7 y : mg cosθ kg x 9.80 m/s xcos N 7-eb-08 Paik p. 38
39 Example 4 Pat wants to reach an apple in a tree without climbing it. Sitting in a chair connected to a rope that passes over a frictionless pulley, Pat pulls on the loose end of the rope with a force that the spring scale reads 50 N. Pat's true weight is 30 N, and the chair weighs 60 N. (a) Draw free-body diagrams for Pat and the chair considered as separate systems, and another diagram for Pat and the chair considered as one system. (b) Show that the acceleration of the system is upward and find its magnitude. (c) ind the force Pat exerts on the chair. 7-eb-08 Paik p. 39
40 Ex 4, cont (a) ree-body diagrams: (b) Consider Pat and the chair as the system. Note that two ropes support the system and each rope has 50 N. y ma y x 50 N 480 N (480 N/9.80 m/s )a a m/s > 0. herefore, upward. (c) Now consider Pat as the system: y n + 30 N (30 N/9.80 m/s )a n 50 N + 30 N kg x m/s 83.3 N 7-eb-08 Paik p. 40
41 Motion with Resistive orces Motion can be through a medium Either a liquid or a gas Medium exerts a resistive drag force D on an object moving through the medium Magnitude of D depends on the medium Direction of D is opposite to the direction of motion Magnitude of D can depend on the speed in complex ways We will discuss only two cases: D v, D v 7-eb-08 Paik p. 4
42 Drag Proportional to v or objects moving at low speeds, the drag is approximately proportional to v : D bv b depends on the property of the medium, and on the shape and dimensions of the object he negative sign indicates that D is opposite in direction to v he equation of motion of the suspended mass: D mg m( a) bv mg m dv dt 7-eb-08 Paik p. 4 D
43 erminal Speed for D v Initially, v 0 D 0 and dv/dt g As t increases, D mg, a 0 and v v : the terminal speed of the object: dv bv mg m 0 v v v mg b dt v(t) is found by solving the differential equation: ( t / τ e ), τ m b / v 7-eb-08 Paik p. 43 t
44 Drag Proportional to v or objects moving at high speeds, the drag is approximately proportional to v : D (/)cρav c is a dimensionless empirical drag coefficient ρ is the density of the fluid A is the cross-sectional area of the object 7-eb-08 Paik p. 44
45 erminal Speed for D v Analysis of an object falling through a medium accounting for air resistance D mg a m( a), g cρa v m cρav he terminal speed will occur when the acceleration goes to zero mg Solving the equation gives v c ρ A mg ma D 7-eb-08 Paik p. 45
The Laws of Motion Newton s first law Force Mass Newton s second law Gravitational Force Newton s third law Examples Gravitational Force Gravitational force is a vector Expressed by Newton s Law of Universal
Physics 111 Lecture 4 Newton`s Laws Dr. Ali ÖVGÜN EMU Physics Department www.aovgun.com he Laws of Motion q Newton s first law q Force q Mass q Newton s second law q Newton s third law q Examples Isaac
The Laws of Motion The Concept of Force Newton s First Law and Inertial Frames Mass Newton s Second Law The Gravitational Force and Weight Newton s Third Law Analysis Models using Newton s Second Law Forces
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
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
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,
Chapter 5 The Laws of Motion The Laws of Motion The description of an object in motion included its position, velocity, and acceleration. There was no consideration of what might influence that motion.
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
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
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
Chapter 4 Force and Motion Units of Chapter 4 The Concepts of Force and Net Force Inertia and Newton s First Law of Motion Newton s Second Law of Motion Newton s Third Law of Motion More on Newton s Laws:
Chapter 6 Dynamics I: Motion Along a Line Chapter Goal: To learn how to solve linear force-and-motion problems. Slide 6-2 Chapter 6 Preview Slide 6-3 Chapter 6 Preview Slide 6-4 Chapter 6 Preview Slide
Lecture 7: Newton s Laws and Their Applications 1 Chapter 4: Newton s Second Law F = m a First Law: The Law of Inertia An object at rest will remain at rest unless, until acted upon by an external force.
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
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.
PC1221 Fundamentals of Physics I Lectures 9 and 10 The Laws of Motion A/Prof Tay Seng Chuan 1 Ground Rules Switch off your handphone and pager Switch off your laptop computer and keep it No talking while
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
Unit 5 orces I- Newtonʼ s irst & Second Law Unit is the NEWTON(N) Is by definition a push or a pull Does force need a Physical contact? Can exist during physical contact(tension, riction, Applied orce)
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
Welcome back to Physics 211 Today s agenda: Weight Friction Tension 07-1 1 Current assignments Thursday prelecture assignment. HW#7 due this Friday at 5 pm. 07-1 2 Summary To solve problems in mechanics,
Chapter 5 The Laws of Motion The Laws of Motion The description of an object in There was no consideration of what might influence that motion. Two main factors need to be addressed to answer questions
Free-body Diagrams To help us understand why something moves as it does (or why it remains at rest) it is helpful to draw a free-body diagram. The free-body diagram shows the various forces that act on
Lecture 4. orces, Newton's Second Law Last time we have started our discussion of Newtonian Mechanics and formulated Newton s laws. Today we shall closely look at the statement of the second law and consider
Chapter 5 The Laws of Motion Sir Isaac Newton 1642 1727 Formulated basic laws of mechanics Discovered Law of Universal Gravitation Invented form of calculus Many observations dealing with light and optics
AP PHYSICS 1 WS-CH-4 Motion and Force Show all your work and equations used. Isaac Newton (1643-1727) Isaac Newton was the greatest English mathematician of his generation. He laid the foundation for differential
Chapter 4 Classical Mechanics Forces and Mass does not apply for very tiny objects (< atomic sizes) objects moving near the speed of light Newton s First Law Forces If the net force!f exerted on an object
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
Physics 2A Chapter 4: Forces and Newton s Laws of Motion There is nothing either good or bad, but thinking makes it so. William Shakespeare It s not what happens to you that determines how far you will
Please do not write on test. ID A Webreview 4.3 - practice test. Forces (again) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A 5.0-kg mass is suspended
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
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
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
PSI AP Physics B Dynamics Multiple-Choice questions 1. After firing a cannon ball, the cannon moves in the opposite direction from the ball. This an example of: A. Newton s First Law B. Newton s Second
Student AP Physics 1 Date Newton s Laws B FR #1 A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley
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
Chapter 7 Newton s Third Law Chapter Goal: To use Newton s third law to understand interacting objects. Slide 7-2 Chapter 7 Preview Slide 7-3 Chapter 7 Preview Slide 7-4 Chapter 7 Preview Slide 7-6 Chapter
Chapter 4 The Laws of Motion 1. Force 2. Newton s Laws 3. Applications 4. Friction 1 Classical Mechanics What is classical Mechanics? Under what conditions can I use it? 2 Sir Isaac Newton 1642 1727 Formulated
Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 Let vector a! = 4î + 3 ĵ and vector b! = î + 2 ĵ (or b! = î + 4 ĵ ). What is the
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
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.
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 =
Reading Quiz Chapter 5 1. The coefficient of static friction is A. smaller than the coefficient of kinetic friction. B. equal to the coefficient of kinetic friction. C. larger than the coefficient of kinetic
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
Physics Chapter 4 Newton s Classical Mechanics Classical Mechanics Describes the relationship between the motion of objects in our everyday world and the forces acting on them Conditions when Classical
Physics 111: Mechanics Lecture 5 Bin Chen NJIT Physics Department Forces of Friction: f q When an object is in motion on a surface or through a viscous medium, there will be a resistance to the motion.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall 2012 Problem 1 Problem Set 2: Applications of Newton s Second Law Solutions (a) The static friction force f s can have a magnitude
AP Physics First Nine Weeks Review 1. If F1 is the magnitude of the force exerted by the Earth on a satellite in orbit about the Earth and F2 is the magnitude of the force exerted by the satellite on the
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
1. (0 Points) What course is this? a. PHYS 1401 b. PHYS 1402 c. PHYS 2425 d. PHYS 2426 2. (0 Points) Which exam is this? a. Exam 1 b. Exam 2 c. Final Exam 3. (0 Points) What version of the exam is this?
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.
Lecture 4 Newton s 3rd law and Friction Newtons First Law or Law of Inertia If no net external force is applied to an object, its velocity will remain constant ("inert"). OR A body cannot change its state
AP PHYSICS Name: Period: Date: DEVIL PHYSICS BADDEST CLASS ON CAMPUS 50 Multiple Choice 45 Single Response 5 Multi-Response Free Response 3 Short Free Response 2 Long Free Response AP EXAM CHAPTER TEST
Chapter Problems Newton s 2nd Law: Class Work 1. A 0.40 kg toy car moves at constant acceleration of 2.3 m/s 2. Determine the net applied force that is responsible for that acceleration. 2. If a net horizontal
51 IDENTIFY: for each object Apply to each weight and to the pulley SET UP: Take upward The pulley has negligible mass Let be the tension in the rope and let be the tension in the chain EXECUTE: (a) The
Physics Second Midterm Eam (AM) /5/00. (This problem is worth 40 points.) A roller coaster car of m travels around a vertical loop of radius R. There is no friction and no air resistance. At the top of
Bell Ringer: What is Newton s 3 rd Law? Which force acts downward? Which force acts upward when two bodies are in contact? Does the moon attract the Earth with the same force that the Earth attracts the
Physics 12 Inclined Planes Push it Up Song 1 Bell Work A box is pushed up a ramp at constant velocity. Draw a neatly labeled FBD showing all of the forces acting on the box. direction of motion θ F p F
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.
Forces and Newton s Laws Notes Force An action exerted on an object which can change the motion of the object. The SI unit for force is the Newton (N) o N = (kg m)/s 2 o Pound is also a measure of force
MIDTERM REVIEW AP Physics 1 McNutt Name: Date: Period: AP Physics 1: MIDTERM REVIEW OVER UNITS 2-4: KINEMATICS, DYNAMICS, FORCE & MOTION, WORK & POWER 1.) A car starts from rest and uniformly accelerates
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
Chapter 2 Dynamics 51 52 AP Physics Multiple Choice Practice Dynamics SECTION A Linear Dynamics 1. A ball of mass m is suspended from two strings of unequal length as shown above. The magnitudes of the
Physics 01 Lecture 16 Agenda: l Review for exam Lecture 16 Newton s Laws Three blocks are connected on the table as shown. The table has a coefficient of kinetic friction of 0.350, the masses are m 1 =
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,
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
AP Physics C: Work, Energy, and Power Practice 1981M2. A swing seat of mass M is connected to a fixed point P by a massless cord of length L. A child also of mass M sits on the seat and begins to swing
Slide 1 / 36 P Physics C Multiple Choice ynamics Slide 2 / 36 1 ball moves horizontally with an initial velocity v1, as shown above. It is then struck by a tennis racket. fter leaving the racket, the ball
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 7 Lecture RANDALL D. KNIGHT Chapter 7 Newton s Third Law IN THIS CHAPTER, you will use Newton s third law to understand how objects
Assignment Due Date: December 12, 2011 AP Physics: Newton's Laws 2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A lamp with a mass m = 42.6 kg is hanging
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
Newton s Laws and Free-Body Diagrams In the next few sections, we will be exploring some of the most fundamental laws of our universe, laws that govern the relationship actions and motion. These laws are
Chapter 6 Force and Motion II 6 Force and Motion II 2 Announcement: Sample Answer Key 3 4 6-2 Friction Force Question: If the friction were absent, what would happen? Answer: You could not stop without
P Physics Review. Shown is the velocity versus time graph for an object that is moving in one dimension under the (perhaps intermittent) action of a single horizontal force. Velocity, m/s Time, s On the
Concept of Force and Newton s Laws of Motion 8.01 W02D2 Chapter 7 Newton s Laws of Motion, Sections 7.1-7.4 Chapter 8 Applications of Newton s Second Law, Sections 8.1-8.4.1 Announcements W02D3 Reading
UNIVERSITY OF ALABAMA Department of Physics and Astronomy PH 125 / LeClair Spring 2009 Random sample problems 1. The position of a particle in meters can be described by x = 10t 2.5t 2, where t is in seconds.
8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology 1. Stacked Blocks Problem Set 2 Consider two blocks that are resting one on top of the other. The lower block has mass m 2 = 4.8
Chapter 6 Applications of Newton s Laws P. Lam 7_11_2018 Learning Goals for Chapter 5 Learn how to apply Newton s First Law & Second Law. Understand the cause of apparent weight and weightlessness Learn
PHYS-2010: General Physics I Course Lecture Notes Section V Dr. Donald G. Luttermoser East Tennessee State University Edition 2.5 Abstract These class notes are designed for use of the instructor and students