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AP Physics 1 spring equations

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 CONSTANTS AND CONVERSION FACTORS Proton mass, 1.67 10 kg 27 m p =¥-Neutron mass, 1.67 10 kg 27 m n =¥-Electron mass, 9.11 10 kg 31 m e =¥-Speed of light, c =¥3.00 10 ms 8 Electron charge magnitude, e =¥1.60 10 C-19 Coulomb's law constant, 92 k ==¥14 9.0 10 Nm C pe0 i Universal. AP Physics C: Mechanics Help » Mechanics Exam » Motion » Harmonic Motion » Using Spring Equations Example Question #1 : Using Spring Equations A mass is attached to a spring of force constant school physics laboratory. For an equation that is consistent with a relevant principle or law as written in (a)(i) 1 point For a valid equation that contains measurable quantities and includes spring constant 1 point For a correct and valid algebraic expression for spring constant. The expression must be solved for k. 1 poin 2019 AP ® PHYSICS 1 FREE-RESPONSE QUESTIONS . GO ON TO THE NEXT PAGE. -9- (b) Continued Describe the overall procedure to be used to test the hypothesis that the spring constant of the spring inside the launcher has the same value for different compression distances, referring to the table. Provide enoug The AP Physics 1 Equation Sheet Explained The AP Physics 1 formula sheet is a key resource for answering questions on this algebra-based exam. A copy of the equations sheet will be provided in your exam booklet during the exam (you can't bring your own copies into the exam room), and it includes common equations that are covered throughout the.

D1Revs 1/9/07 RI59045 • D2 1/11/07 RI59045 • D2revs 2/5/07 RI59045 • D3 2/20/07 RI59045 • [New job 76295-58004] Dr01 12/3/08 ta • prefllight 031309 ljg Table of Information and Equation Tables for AP Physics Exams The accompanying Table of Information and Equation Tables will be provided to students when they take the AP Physics Exams 0117 Lecture Notes - AP Physics 1 Equations to Memorize.docx page 2 of 2 • o These two Uniformly Angularly Accelerated Motion (UαM) equations were also, sadly, left off the equation sheet. • o The tangential velocity of an object. • o The velocity of the center of mass of an object rolling without slipping.. AP Physics 1 - 2.3 Notes - 1D Kinematics Equations. File Size: 445 kb. File Type: pdf. Download File. AP Physics 1 Unit 2.4 Notes - Free Fall - Gravitational Force. File Size: 556 kb List of equations to memorize AP Physics 1. The path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus. (The Law of Ellipses) An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. (The Law of Equal Areas

Lab: Simple Pendulum. AP1 Mechanics Equations etc. Simple Harmonic Motion: page 1 (Video 1 to 7: SHM basics, spring-mass oscillator) Simple Harmonic Motion: page 2 (Video 8 to 14: Energy graphs, simple pendulum, multiple-choice questions, damped oscillation, ranking & proportion questions) AP Physics 1: SHM 1: Spring-Mass System Basics = spring constant AP ® PHYSICS 2 EQUATIONS FLUID MECHANICS AND THERMAL PHYSICS. m V r= F P A = P P gh = + 0 r: F Vg b = r A 11 2 2 v Av = 2 11 1 2 P gy v ++r r 1 2 22 1 2 =++ P gy v r r 2 Q kA T tL D D = PV nRT Nk T = = B 3 2 B K kT = W PV =-D D U QW = + A = area Sample AP Physics 1 & 2 Multiple-Choice Questions For your study guide to AP Physics 1 and 2 multiple-choice, well now go through a few practice questions from the official AP sample questions. AP Physics 1 First, one from AP Physics 1: question 13 (on page 166) at this link. Here you need to rank magnitudes of acceleration by examining the graph

AP PHYSICS 1 INVESTIGATIONS 126 AP Physics 1 Investigation 6 Skills and Practices Taught/ Emphasized in This Investigation Science Practices Activities 2.2 The student can apply mathematical routines to quantities that describe natural phenomena. Students graph the period as a function of mass, angle, and length AP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description or Terms Defined in the AP Physics 1: Algebra-Based Course and Exam Description and the AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value g =9.8 m s2, but the use o A brief introduction to vertical spring block oscillators and simple harmonic motion for students in algebra-based physics courses such as AP Physics 1. For.. Physics Paper 1 Equations. P = W /t. ρ = m /V. E = QV. W =mg. The equation that links power, work done and time. The equation that links density, mass and volume. The equation that links energy transferred, charge flow and po. The equation that links weight, mass and gravitational field s AP Physics 1 - 2020 Exam Sample Question Full Solution. If there is a topic you want me to do leave them in the comments below. A spring with unstretched length L1 is hung vertically, with the top end fixed in place, as shown in Figure 1 above. A block of mass M is attached to the bottom of the spring, as shown in Figure 2, and the spring has.

320 | Cracking the AP Physics 1 Exam AGE. II ADVANCED PLACEMENT PHYSICS 1 EQUATIONS = + = + - = + ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 MECHANICS ELECTRICITY v x v x0 a x t 2 0 0 1 x 2 x = x + v t + a x t 2 2 (v k = spring constant L = angular momentu AP Physics 1 is an algebra-based, introductory college-level physics course that explores topics such as Newtonian mechanics (including rotational motion); work, energy, and power; mechanical waves and sound; and introductory, simple circuits. Through inquiry-based learning, students will develop scientific critical thinking and reasoning skills

Using Spring Equations - AP Physics C: Mechanic

An algebra-based, introductory college-level physics course that explores topics such as Newtonian mechanics (including rotational motion); work, energy, and power; mechanical waves and sound; and introductory simple circuits. This course is followed shortly after with AP®︎ Physics 2, which we also support AP Physics 1 Simple Harmonic Motion Review. Total Playlist Time: 78 minutes. Simple Harmonic Motion: All Lecture Notes. [1] (3:59) Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System. [1] (4:59) Simple Harmonic Motion - Force, Acceleration, and Velocity at 3 Positions

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To derive an equation for the period and the frequency, we must first define and analyze the equations of motion. Note that the force constant is sometimes referred to as the spring constant. Equations of SHM. Consider a block attached to a spring on a frictionless table (Figure 15.4) AP PHYSICS 1 INVESTIGATIONS 162 AP Physics 1 Investigation 8 Enduring Understanding Learning Objectives 6D Interference and superposition lead to standing waves and beats. 6.D.1.1 The student is able to use representations of individual pulses and construct representations to model the interaction of two pulses to analyze the superposition of. 6.1: Simple Harmonic Motion, Springs, and Pendulums ️. Let's begin by defining what simple harmonic motion is! Firstly, periodic motion is the type of motion that repeats itself over and over. Where x is position as a function of time, A is the amplitude of the wave function, omega is angular frequency, and phi is the phase shift/angle. Equations: X f= Xi + Vit + 1/2at^2. This equation is used to find the distance traveled, using the initial position, velocity, acceleration and time. For example: The initial distance is 0 m and the initial velocity is 0 m/s^2. We know the final distance- 0.8m (from the graph) and the time- 1.5 seconds (also from the graph)

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PHYSICS 1 Advanced Placement Simple Harmonic Motion. Other equations T= 2π ω = 1 f f= 1 T = Example 1 A spring of negligible mass and of spring constant 245 N/m is hung vertically and not extended. A mass of 2.5 kg is attached to the spring and it stretches a distance Ap physics 1 and 2 equation sheet AP ® PHYSICS 2 TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, 27 1.6710 kg p m - = ¥ Neutron mass, 27 1.6710 kg n m - = ¥ Electron mass, 31 9.1110 kg e m - = ¥ Avogadro's number, 23-10 6.0210 mol N = ¥ Universal gas constant,8.31 J(molK) R = i Boltzmann's constant, 2 This equation will be available to you on the grand old AP Physics test. A spring has a constant of 125 N/m. If the spring is compressed a distance of 13 cm, what is (a) the force required to do this and (b) the potential energy stored in the spring AP PHYSICS 1 INVESTIGATIONS 90 AP Physics 1 Investigation 4 Real-World Application In this lab, students find that the loss of spring potential energy is equal to the gain in kinetic energy of a cart. In turn, kinetic energy then decreases as the gravitational potential energy increases. Operators of trains and truck

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AP Physics 1- Work, Energy, & Power Practice Problems ANSWERS FACT: The If the cart comes to a rest after compressing the spring a distance of 1.0 meter, what is the spring constant of the spring? (32 N/m) Derive an equation for the speed of the box when the spring returns to its equilibrium position AP PHYSICS 1. Home About AP Physics 1 AP Physics Review Contact Big Ideas, Notes and Remediation unit_2_agenda_spring_2018.docx: File Size: 18 kb: File Type: docx: Download File. Worksheets: 1-d_practice_problems.pptx: 08_u2_ws_3a.doc graphs and equations: File Size: 83 kb: File Type: doc: Download File. 10_u2_ws_4.doc motion maps: File. Appendix A: AP Physics 1 concepts at a glance Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring Understanding 1.A: The internal structure of a system determines many properties of the system Title: AP Physics Formulas (Kinematic) Cheat Sheet by ReSummit - Cheatography.com Created Date: 20201023045451

AP Physics 1 Exam Review. Comments (-1) Sample Free Response - Possible Solutions. Comments (-1) Practice Multiple Choice Comments (-1) Other Equations. Comments (-1) Equation Sheet. Comments (-1) Fort Bend Independent School District. 4200 Elkins Road | Sugar Land , TX 77479 | (281) 634-2150 | PH: (281) 634-2150 | FAX: (281) 634-2168. The. AP Physics 1: Algebra-Based Exam. This is the Administration 1 date for the AP Physics 1 Exam. Add To Calendar. Details. Mon, May 24, 2021, 12 PM Local. Paper, In School

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AP® PHYSICS 1 TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, 1.67 10 kg 27 m p =¥-Neutron mass, 1.67 10 kg 27 m n =¥-Electron mass, 9.11 10 kg 31 m e =¥-Speed of light, c =¥3.00 10 ms 8 Electron charge magnitude, e =¥1.60 10 C-19 Coulomb's law constant, 92 k ==¥14 9.0 10 Nm C pe0 i Universal gravitational constant. A.P. Physics 1 Second Semester Review Sheet, Page 2 Table 2: Periods for Oscillating Objects Period Type Equation Comments Period of a Mass on a Spring: 2 m T k = p When a spring obeys Hooke's Law, the period is independent of the amplitude. For a vertical spring, Hooke's Law gives F ky mg W y == = so mg k y =. Period of a Simple Pendulu

Every Table on the AP Physics 1 Equation Sheet, Explained

List of equations to memorize AP Physics 1 Flashcards

  1. AP Physics 1 SHM - MC 1. A 0.40 kg mass hangs on a spring with a spring constant of 12 N/m. The system oscillated with a constant amplitude of 12 cm. What is the maximum acceleration of the system? A) 0.62 m/s² B) 1.4 m/s² C) 1.6 m/s² D) 3.6 m/s² E) 9.8 m/s² 2
  2. AP Physics 1 Review Below are a series of activities/problems that you can use to check your understanding of many of the topics and skills you will need to be familiar with for the AP Physics 1 Test
  3. AP Physics 1- Simple Harmonic Motion and Waves Practice Problems FACT: The amount of time per cycle is the period (T). The formula is # . A cycle is considered a round trip of the oscillator. In physics, it is more accurate to record the time it takes for 10 cycles and divide to find the period for 1 cycle

AP Physics 1 Practice Tests. The AP Physics 1 Exam consists of two sections: a multiple-choice section and a free-response section. The multiple-choice section consists of two question types. Single-select questions are each followed by four possible responses, only one of which is correct. Multi-select questions are a new addition to the AP. W‐1/Summer Work AP Physics 1 The equation for a straight line that passes through the origin is y = mx, where m is the slope of the graph. Whenever The data below represents the force versus extension for a spring. F/N (+ 0.1. AP Physics 1. Simple Harmonie Motion Problem 1: The graphs show the motion of an object on the end of a spring. The object is 6.8 kg 1 0 Л 3 Net Force 0 . Time m Kinetic Ener Te Time Anal Port Entrar TE (a) Determine the following. Explain how you found each quantity

TwuPhysics - AP 1: Simple Harmonic Motio

The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length. Problem: A stretched spring supports a 0.1 N weight. Adding another 0.1 N weight, stretches the string by an additional 3.5 cm. What is the spring constant k of the spring? Solution: Reasoning: An ideal spring obeys Hooke's law, F = -kx AP Physics Practice Test: Static Equilibrium, Gravitation, Periodic Motion ©2011, Richard White www.crashwhite.com 9. A spring of negligible mass and spring constant 500 N/m is oriented vertically as shown. A flat 1.00 kg platform is then attached to the top of the spring. a Summer Assignment: AP Physics 1 ' T 1 2 (Z i Z f)' t Z f Z i D' t ' T Z i ' t 1 2 D' t 2 Z f 2 Z i 2D' T K.E . rot 1 2 IZ2 m. General Torque n. Torque (Newton's) o. Angular Momentum W F u r WFr sin T ID L IZ r u p r u mv p. Impulse 'L W't 5. Harmonic Motion a. Hooke's Law b. Period of Simple Pendulum c. Period of Mass-Spring F elastic kx T.

Web Resources. Educator.com: AP Physics 1 and AP Physics 2. AP Physics 1 on Youtube. AP Physics 2 on Youtube. edX Preparing for the AP Physics 1 Exam Online Course. edX Challenging Concepts from Physics 1 & Physics 2. LearnAPPhysics.com The AP Physics C formula sheet is several pages long and is divided into five sections: constants and conversion factors, prefixes, unit symbols, values of trigonometric functions for common angles, and equations. The equations section of the formula sheet is the longest and is divided into subsections based on type of formula AP Physics: UNIT CONVERSION 1. A spring is hanging down from the ceiling and an object of mass m is attached to the free end. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T = 2. AP Physics 1 Curriculum Map. On this page I am providing my map through the curriculum of AP Physics 1. The order of my topics [units] might not agree with the order of your teacher's - however, we are all providing the same information to prepare you for May's exam. Chart of MKS Units of Measurement Please visit twuphysics.org for videos and supplemental material by topic. These physics lesson videos include lectures, physics demonstrations, and problem-..

AP Physics 1 - Vertical Spring Block Oscillators - YouTub

AP Physics B & C - Oscillations and Simple Harmonic Motion - Equations to be Remembered (1) The simplest equation of simple harmonic motion is . If two springs of spring constants k 1 and k 2 are connected in series as shown, the effective spring constant k is given by the reciprocal relation Solutions: AP Physics 1 Practice Exam, Section Il (Free-Response) < 233 1 point: In system B, kinetic energy is not conserved. Kinetic energy is a scalar, so kinetic energy of a system of objects is just the addition of the kinetic energies of all the objects in the system. Both blocks speed up, so both blocks are increasing their kinetic energy AP Physics 2020 Exam SAMPLE Question 1. (Adapted from: AP Physics 1 Course and Exam Description FRQ 1) Allotted time: 25 minutes (+ 5 minutes to submit) A small sphere of mass M is suspended by a string of length L. The sphere is made to move in a horizontal circle of radius R at a constant speed, as shown above If the surface of the incline is frictionless, how long will the block take to reach the bottom if it was released from rest at the top? A. 0.5 s B. 1.0 s C. 1.4 s D. 2.0 s E In AP physics, you must have a minimum of five data points and more is always better. Graph the data to the left. Generate a line of best fit. Print the graph and show the full analysis. You will turn this one in, but you'll want to check your work to see that you understand. When it's done, go to: Mrs. D's graph 1 to see how you did

physics 1 equations Flashcards and Study Sets Quizle

Write up for an open-ended popper lab in which students use their kinematic equations to determine the launch velocity of a popper toy. Popper toys can be found in a variety of places such as Amazon, CVS and Wal-Mart, as well as Oriental Trading.. CVS Spring Toys item number is SKU# 439412, bar code 50428 06656, Spring Up & Catch Game, $2.99 each or 2/$ D1Revs 1/9/07 RI59045 • D2 1/11/07 RI59045 • D2revs 2/5/07 RI59045 • D3 2/20/07 RI59045 • [New job 76295-58004] Dr01 12/3/08 ta • prefllight 031309 ljg Table of Information and Equation Tables for AP Physics Exams The accompanying Table of Information and Equation Tables will be provided to students when they take the AP Physics Exams A .50-kg lab cart on a frictionless surface is attached to a spring, as shown in the preceding figure. The rightward direction is considered positive. The spring is neither stretched nor compressed at position x = 0. The cart is released from rest at the position x = +0.25 m at time t = 0. 1 I previously discussed my tips of the AP Physics 1 and 2 FRQS, but I realize I didn't really touch on the experimental design FRQ. I will write out some tips for that beast, but I want to discuss how I prepare my students for this throughout the school year. The experimental design FRQ is [

AP Physics 1 - 2020 Exam Sample Question Full Solution

Watch: AP Physics 1 - Unit 2 Streams. Key Concept: Friction: A key factor in understanding the setup of the equations surrounding Newton's Laws is familiarizing oneself with friction.Friction acts as the force that opposes the motion or attempted motion of an object. The equation for friction is given by Ff = μ*n where μ (Greek letter mu) is the coefficient of either static or kinetic. Conquer the AP® Physics 1 Course. College Physics for the AP® Physics 1 Course is the first textbook to integrate AP® skill-building and exam prep into a comprehensive college-level textbook, providing students and teachers with the resources they need to be successful in AP® Physics 1. Throughout the textbook you'll find AP Exam Tips, AP® practice problems, and complete AP® Practice. Potential energy due to a spring ( )2 2 1 U s k x Law of gravity 2 1 2 r GM M F g Centripetal acceleration r v2 a c Weight (near Earth's surface) F g = mg AP Physics The Derivative The following discussion is meant to provide an introduction and elementary working knowledge of the derivative. It will give Question: 2020 Exam Sample Question 2 (Adapted From AP Physics 1 Course And Exam Description FRO 2 Allotted Time: 15 Minutes (+ 5 Minutes To Submit) Elesed ER Figure 1 Figure 2 Figure 3 (d) 'The Block Is Released At Time T = 0, 'The Length Of The Spring Is Shown In The Graph Above As A Function Of Time. During Which Interval(s), If Any, Is The Weight Force Acting. Summer Assignment: AP Physics C F C mv t 2 r 2mrZ F g Gm 1 m 2 r2 mg h. General Torque i. Angular Momentum W dL dt r u F rF sinT ID L IZ r up mv j. Moment of Inertia k. Vector to Center of Mass I 2¦ mr ³ r2dm r cm ¦ mr ¦ m 5. Harmonic Motion a. Period b. Frequency c. Hooke T 1 f 2S Z 2Sr v f 1 T v 2Sr Z 2S 's Law d

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2021 AP Physics 1 exam - solutions. Ah, it's good to be able to download the questions 48 hours after the exam again. It's good to be back to five total questions, two long and three short. We're back to something approaching normal in the AP Physics 1 world! Big thanks to the College Board for the format of the test question download. AP Physics 1 Summer Assignment 2019 Instructions: 1. Solve all problems on separate paper making certain to show all work. This means that all givens should be listed, appropriately selected equations, manipulation of these equations to isolate the unknown, substitute in known values and then solve. All units must be shown

0113 Lecture Notes - AP Physics 1 Review of Simple

Worksheet - Distinquishing 2nd Law and 3rd Law forces. Worksheets - Freebody diagrams #1, #2, #3. Lesson - Systems of Bodies. Lab - Atwood machine with two moving masses using massless, frictionless pulley. Lab - Systems of bodies involving falling mass with massless, frictionless pulley, sliding block experiencing kinetic friction AP Physics C Review Mechanics CHSN Review Project This is a review guide designed as preparatory information for the AP1 Physics C Mechanics Exam on May 11, 2009. It may still, however, be useful for other purposes as well. Use at your own risk. I hope you find this resource helpful. Enjoy Slide 1 / 37 Slide 2 / 37 AP Physics C Simple Harmonic Motion Multiple Choice www.njctl.org Slide 3 / 37 1 What is the period of an object? A The time it takes for an object to complete one cycle B How many times the object passes a specific point every second C The number of revolutions that an object completes in a given amount of time

ADVANCED PLACEMENT PHYSICS C EQUATIONS DEVELOPED FOR 2012 MECHANICS ELECTRICITY AND MAGNETISM uu 0 at 2 00 1 2 x xtatu 22 uu 00 uncompressed ideal spring, as shown in Figure 1 above. The student then pushes the glider back to compress the spring by 0.25 m, as shown in Figure 2 AP Physics 1 -U5/L1: Oscillatory Motion Date: Learning Targets:-To understand characteristics of oscillatory motion-To describe oscillatory motion by using graphs and equations Q: Assume a mass is tied at the lower end of a string; how would you describe the motion of the mass-string system is you disturb its static equilibrium by applying a horizontal external force AP Physics 1 - U5/L3: Energy of a Simple Harmonic Oscillator Date: Learning target:-Analyze the energy transfer/transformation of an oscillator-Apply energy transfer/transformation of an oscillator for calculating specific periodic motion quantities Consider an elastic pendulum (a simple harmonic oscillator) completing one cycle. In the jargon of conservative vs. non-conservative forces, the.

College-Board-AP-Physics-Equation-Sheet-4AP Physics B Formulas Courtesy Emily Gilbert, APPractice Test 2 - The Princeton Review AP Physics CLearn AP Physics - AP Physics 1 & 2 - Oscillatory Motion

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AP® PHYSICS 1 EQUATIONS MECHANICS a = acceleration d = distance E = energy f = frequency F = force h = height I = rotational inertia K = kinetic energy k = spring constant L = angular momentum A= length m = mass P = power p = momentum r = radius or separation T = period t = time U = potential energy V = volume v = speed W = work done on a system x = positio Page 1 of 2. ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 CONSTANTS AND CONVERSION FACTORS Proton mass, 27 1.67 10 kg mp - = ¥ Neutron mass, 27 1.67 10 kg mn - = ¥ Electron mass, 31 9.11 10 kg me - = ¥ Speed of light, 8 c = ¥ 3.00 10 m s Electron charge magnitude, 19 e 1.60 10 C - = ¥ Coulomb's law constant, 9

AP Physics 1 - 2010 (AP B) - Question 1 - MechanicsAP Physics B Formula Study Sheet

The equation for PE is PE = mgh where m is the mass of the weight, g is the gravitational acceleration, and h is the height. Again, in this hypothetical situation, the mass of the weight is doubled from 0.5 kg to 1.0 kg. The gravitational acceleration always remains the same at 9.8 m/s^2. The increase in mass causes the spring to stretch out. The force of the spring, Fspring, and the force of gravity, Fgravity, together add up to the total net force of the mass-spring system. The mass of the weight, 0.5 kg, is constant at all positions. The Fgravity, defined by the equation of mass X gravitational acceleration (9.8 m/s^2), is therefore also constant at all positions AP Physics 1 and 2 Wednesday, December 10, 2014. The slope of this graph, represented by the letter k, is the spring constant. The equation created by the force vs spring deformation graph is F=k(x) where k represents the stiffness of the spring, or how much the spring resists deformation by a force exerted on it AP Physics 1 SHM - MC Quiz Name: 1. A mass is attached to a spring and allowed to oscillate vertically. Which of the following would NOT change the period to the oscillation? a. Double the mass and double the spring constant b. Double the amplitude of vibration the double the mass c. Double the gravitational field strength and double the mass d The equation is. T = 2•Π• (m/k).5. where T is the period, m is the mass of the object attached to the spring, and k is the spring constant of the spring. The equation can be interpreted to mean that more massive objects will vibrate with a longer period Solutions: AP Physics 1 Practice Exam 2, Section I (Multiple-Choice) Questions 1-45: Single-Choice Items 1. A—The tension is the force of the string acting on the block. Newton's third law says that since the string pulls on the block, the block pulls equally on the string. (The answer is NOT for force of friction