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Inquiry lab projectile motion answer key - Jan 7, 2024 · _projectile_packet_answers.docProjectile motion Projectile phet worksheet em

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1. Physics is the science concerned with describing the interactions of energy, matter, space, and time to uncover the fundamental mechanisms that underlie every phenomenon. 3. No, neither of these two theories is more valid than the other. Experimentation is the ultimate decider. If experimental evidence does not suggest one theory over the ...1. Physics is the science concerned with describing the interactions of energy, matter, space, and time to uncover the fundamental mechanisms that underlie every phenomenon. 3. No, neither of these two theories is more valid than the other. Experimentation is the ultimate decider. If experimental evidence does not suggest one theory over the ...PART 1 - INTRO In this part, we will use a horizontally launched projectile and study the impact of launch speed on the range and the time of flight of the projectile. (No air resistance) a) Click on "Intro", and explore the different aspects of the simulation. b) Reset the simulation. The cannon height is set at 10m and the angle of the cannon is at 0 .Projectile Motion Answer Key - repo.koditips.com AP Physics PhET Projectile Motion Lab - PhET Contribution Answer Key To Projectile Simulation Lab Activity ... Simulations Lab Answers PHET Projectile-Motion LabANSWER KEY. Go to mrstomm.com More Projectile Motionto find the simulation. Click INTRO to begin and follow your teacher'sProjectile Motion Lab Answers, Lab Reports for Physics. Physics: Projectile Motion (Intro) PhET Simulations Lab Name: KEY Per. Introduction: a Projectiles travel with two components of motion, X any Y. The acceleration and velocity in the Y direction is independent of the acceleration (if any) and velocity in the X direction.The average velocity is just the average of the initial velocity and the final velocity. The average velocity is just equal to the average of these two numbers: so, minus 100 plus 0 over 2-- and I'm just averaging the numbers-- equals minus 50 meters per second.Here's the best way to solve it. 1) standrad deviation we can calculate …. 2) Projectile motion A projectile motion experiment has been carried out by a physics lab group. The goal was to analyse the maximum range of a projectile for different initial angles of launch in order to determine an experimental value for the acceleration due to ...Answer Key To Projectile Motion Sim Fulong Chen,Yonglong Luo Improving K-12 STEM Education Outcomes through Technological Integration Urban, Michael J.,2015-11-12 The application of technology in classroom settings has equipped educators with innovative tools and techniques for effective teaching practice.The answer key for a projectile motion virtual lab contains the expected results and explanations for the experiments conducted in the lab. It helps students compare their own findings with the expected outcomes, identify any discrepancies, and gain a better understanding of the underlying principles of projectile motion.projectile which has no upward trajectory and no initial vertical velocity (Vax=Vx=constant) What are the equations for a horizontally launched projectile? x=Voxt, y=1/2gt^2Projectile Exploration - inquiry with PhET Projectile Motion ... Objectives & Homework - Periodic Motion Answer Key Solar System Data - Sun, planets, moons In-Class Practice ... Projectile Lab Report: Fri 23 Feb: Force Problems 1 - 25: Fri 1 Mar: Force Problems 26 - 47: Mon 4 Mar:Projectile Motion Lab For all work, assume the acceleration due to gravity is, g = 9 m s-2. Part A: Launching a Projectile Horizontally ... Explain your answer clearly (no calculations). Q4) If this experiment is taken to the moon (g = 1 m/s 2 ), explain, discussing time, if and why the distance travelled should be larger, smaller or the same than the distance …Projectile Motion Virtual Lab. Objective: In this activity, you will be investigating the relationships between some of the diferent variables involved in projectile motion. ... Please explain your answer in at least two complete sentences. Air resistance the acceleration is changing. The faster the speed the greater the air resistance force and …The route of such a particle is referred to as a projectile, and the motion is referred to as projectile motion.</p><p><br />In a Projectile Motion, two separate rectilinear movements occur at the same time:</p><p><br />Along the x-axis: uniform velocity, which is responsible for the particle's horizontal (forward) motion.</p><p><br />Along the ...An Inquiry Approach to Projectile Motion. by Jeff Steinert. This is a two-day introductory lab exercise using video analysis to derive the equations that govern projectile motion. It employs elements of Modeling Instruction to engage students in doing science.Semester : Fall 2020 Lab (Activity) Number: 3 Experiment Name/Title: lab 03 projectile motion. Purpose: The purpose of this experiment is to describe projectile motion. The measured physical quantities that are measured in this experiment include length (meter) and time (second/s).Lab Projectile Motion Physics 101, Spring 2020 February 10, 2020 Instructor: Dr. Steven Bellavia SECTION: CRN 32032 DESCRIPTION & PURPOSE: The objective of this experiment is to study projectile motion. A ball will roll down a ramp leaving the end of the ramp and becoming a projectile with a horizontal initial velocity.Projectile Motion or 2-D Kinematics Physics Curriculum. The bundle is differentiated for CP (Regular), Honors, or AP Physics 1. This full lesson plan bundle includes PowerPoint, Guided Notes, Homework, Revie, Pacing Guide, and Assessment. Students will learn about motion in the horizontal and vertical motion and how they are similar and different.projectile which has no upward trajectory and no initial vertical velocity (Vax=Vx=constant) What are the equations for a horizontally launched projectile? x=Voxt, y=1/2gt^2Purpose To understand the nature of projectile motion launched horizontally as well as launched at an angle. Introduction In horizontally launched projectiles, vertical velocity Vy is zero and g is 9.8 m/s2. If we know the vertical height of the launching position d, we can calculate time of flight using the equation d = Vyt.Projectile Motion Lab. 1. Design an experiment to compare the experimental range and the theoretical range of a projectile. Design must be detailed, accurate and reproducible. 2. Solve the practice problems and the exercise problems. Show transcribed image text. Here's the best way to solve it.This is the lab for projectile motion lab projectile motion shayna stiffler, r1230 learning objectives accurately measure the path of projectile. determine the. Skip to document. ... PHY-111 LAB 3 1:26 - Lab answers; Related documents. PHY111L Lab 3 Uniformly accelerated motion 3; Lab 7- Law of Conservation of Energy of a Spring;Download Projectile Motion Inquiry Lab Answer Key: FileName. Speed. Downloads. Projectile Motion Inquiry Lab Answer Key [Most popular] 940 kb/s. 6691.Description. Introducing the Projectile Motion Worksheet and Answer Key Bundle - a comprehensive teaching resource for physics teachers. This product includes three detailed worksheets that cover the fundamental concepts of projectile motion, along with corresponding answer keys to help you assess your students' understanding of the material.Name:_____ Period:_____ Inquiry Lab: Projectile Motion (38 points) Instructions: For this lab you will be using a simulation provided by Phet. Choose the Intro simulation. You will be playing around and answering the inquiry-based questions.PhET Simulation Integration: This worksheet is designed to be used alongside the renowned PhET Projectile Motion Simulation. Students will actively engage with the simulation to explore how launch angle, initial velocity, height, and air resistance affect the motion of projectiles. 2. Comprehensive Exploration: The worksheet is divided into ...PHYS 2425 Lab-02: Projectile Motion Name: _____ Objectives: To understand how the trajectory of an object depends on its initial velocity, and to understand how air resistance affects the trajectory. Understand the relationship that launch angle plays with projectile motion.1 answer key to phet free PDF DOWNLOAD. NOW!!! Source #2: answer key to phet free PDF DOWNLOAD.answer Key To phet Labs | Tricia Joy Related searches +key+to+ phet +labs phet Lab Answers Physical Science Curriculum Support Document. Key scientist to help understand their .. analysis are as important as finding the correct answer..phet …Lab 3. Projectile Motion. Preliminary Question Answers: Predict which penny will land first, the penny moving horizontally, or the one that simply drops off the table. Explain. Because the y-axis velocity is equal to zero, both pennies will land at the same moment. Perform the investigation, listening for the sound of the pennies as they land.lower-right corner of the iFrame.Physics Simulation: Projectile SimulatorPHET Projectile-Motion Lab ANSWER KEY Go to mrstomm.com More Projectile Motion to find the simulation. Click INTRO to begin and follow your teacher's direction. Speed = 15 m/s Test 1 - Cannon Height & Distance 1. Click andSupport. Many lab activities can be conducted with our Wireless, PASPORT, or even ScienceWorkshop sensors and equipment. For assistance with substituting compatible instruments, contact PASCO Technical Support. We're here to help. Use two photogates to learn how two independent motions, horizontal and vertical, are descriptions of the motion of ...Phet Projectile Motion Lab: Lab… Introduction. This lab will answer whether or not initial speed affects the time that a projectile is in the air. Also, it will be determined if there is …PhET Exploring Vectors And Projectile Motion (1).pdf. Answer: The length of the vector is the same throughout the light. The length of a vector is the square root of the sum of the squares of the horizontal and vertical components. If the horizontal or vertical component is zero: If a or b is zero, then you don't need the vector length formula.Answer Key To Projectile Motion Sim Fulong Chen,Yonglong Luo Improving K-12 STEM Education Outcomes through Technological Integration Urban, Michael J.,2015-11-12 The application of technology in classroom settings has equipped educators with innovative tools and techniques for effective teaching practice.Part 3: Click on "Lab" Set the initial speed to a value U = 25m/s . Click on Fire to start the projectile and record the corresponding value of the range R. Repeat with values i = 25,30,35,40,45,50,60,70,75,80,85, 90. Use the table below to fill in your values. Use EXCEL (or any other graphing utility) to draw a graph of Range (R) against Angle ...Click the “velocity vectors” box. Click on “components” just above it. This will track velocity in both the x and y directions. Set the cannon to 60º and the initial velocity to 15 m/s. Click “slow” if you haven’t already. Fire the cannon. Click erase and fire multiple times if necessary.Directions: Print the 10 stations and scatter around the room (and in the hallway, if possible, the students love to leave the room!). Distribute the recording worksheet to each student, then place students in groups of 2-3 and assign each group a starting problem. They solve the problem at the station. The answer they get will lead them to the ...Purpose To understand the nature of projectile motion launched horizontally as well as launched at an angle. Introduction In horizontally launched projectiles, vertical velocity Vy is zero and g is 9.8 m/s2. If we know the vertical height of the launching position d, we can calculate time of flight using the equation d = Vyt.AP Physics PhET Projectile Lab ANSWER KEY.pdf - 4355 kB. Download all files as a compressed .zip. Title. AP Physics PhET Projectile Motion Lab. Description. Perfect for AP Physics C: Mechanics and AP Physics B1. I just re-wrote this and it's solid. I also included an answer key as several people have asked for it. Duration.Gizmos lab answer key name: daniel guh date: 2023.03.08 student exploration: golf range directions: follow the instructions to go through the simulation. ... hang time, launch angle, projectile motion, trajectory, vector, velocity. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) You are in a contest with your friends to see who can ...Simulation Lab Activity and numerous ebook collections from fictions to scientific research in any way. along with them is this Answer Key To Projectile Simulation Lab Activity that can be your partner. Answer Key To Projectile Simulation Lab Activity Downloaded from whm.wagmtv.com by guest FLORES BATES Projectile Motion Answer Key - u1 ...Projectile Motion - PhysLab | Physics for a changeConceptual Physics Inquiry Labs. 20 fully editable, NGSS/modeling pedagogy aligned lab summaries consist of 2 pages total, with space for students to provide the following information:Lab investigation purposeData for the independent and dependent variableWritten statement on data trendsSketch of a graphical model using a line of b. 20. Products.Question: Virtual Lab 2. Projectile motion Objective: To find the initial speed using the projectile motion simulation Background knowledge: Projectile motion is the motion of object under the effect of the gravity. Usually we ignore the air resistance in the projectile motion. If the y-axis is perpendicular to the earth surface, the motion ...You just discovered a rule. State it here by circling the letter of the right answer: MULTIPLE CHOICE: ^When you shoot a projectile at the same initial speed from angles that are a. complementary b. obtuse c. supplementary d. acute …the projectile will go the same horizontal distance range.The answer key for a projectile motion virtual lab contains the expected results and explanations for the experiments conducted in the lab. It helps students compare their own findings with the expected outcomes, identify any discrepancies, and gain a better understanding of the underlying principles of projectile motion.15. Products. $189.95 $238.98 Save $49.03. View Bundle. AP® Physics 1 - Entire Course Curriculum. AP® Physics 1 Full Year Curriculum. This Lesson Plan bundle includes: PowerPoints, Homework, Quizzes, Reviews, Pacing Guide, Guided Notes, and Tests for every topic. Answers with explanations to everything.PhET Simulation Integration: This worksheet is designed to be used alongside the renowned PhET Projectile Motion Simulation. Students will actively engage with the simulation to explore how launch angle, initial velocity, height, and air resistance affect the motion of projectiles. 2. Comprehensive Exploration: The worksheet is divided into ...Answer key projectile motion worksheet #1 1. Source: studylib.net. 12 steps to finding the perfect projectile motion simulator worksheet answer key. The formulas for vertical motion that have time in them are y = y o ±v yo t ½gt2 and v yf = ±v yo gt. Source: www.scribd.com. We will use the formula for.Answers Included Yes: Language English: Keywords inquiry, lab, projectile: Simulation(s) Projectile Motion (HTML5) Author(s) Ross Pinkerton, Joanne Roque: School / Organization Hunter College High School: Date submitted 11/23/20: Date updated 11/24/20: About PhET Our ...Physics questions and answers. LAB 3 PROJECTILE MOTION ***** Does NOT require a formal lab write up. In a typed report include only: purpose, data tables, 4 graphs, answers to 5 questions and at least 2 concluding statements. Purpose: to analyze a projected object's motion in two dimensions using Displacement- Time graphs and Velocity-Time …Projectile Motion Answer Key - repo.koditips.com AP Physics PhET Projectile Motion Lab - PhET Contribution Answer Key To Projectile Simulation Lab Activity ... Simulations Lab Answers PHET Projectile-Motion LabANSWER KEY. Go to mrstomm.com More Projectile Motionto find the simulation. Click INTRO to begin and follow your teacher'sANSWER KEY Projectile Motion Worksheet #2 1. An astronaut stands on the edge of a lunar crater and throws a half-eaten Twinkie™ horizontally with a... General; CCNA; SSD; ACLS; ... AP® Physics 1 And 2 Inquiry-Based Lab Investigations. or projectile motion as part of the analysis of the lab. ...Lab 4.Projectile Motion. Goals. •To determine the launch speed of a projectile and its uncertainty by measuring how far it travels horizontally before landing on the floor (called the range) when launched horizontally from a known height. •To predict and measure the range of a projectile when the projectile is fired at an arbitrary angle ...PART 1 - INTRO In this part, we will use a horizontally launched projectile and study the impact of launch speed on the range and the time of flight of the projectile. (No air resistance) a) Click on "Intro", and explore the different aspects of the simulation. b) Reset the simulation. The cannon height is set at 10m and the angle of the cannon is at 0 °.Answer Key To Projectile Simulation Lab Activity Yeah, reviewing a ebook Answer Key To Projectile Simulation Lab Activity could be credited with your close links listings. This is just one of the solutions for you to be successful. As understood, deed does not suggest that you have fantastic points. ... a projectile motion introduction inquiry based phet …A projectile does not have to have horizontal motion. A projectile could begin its projectile motion with a downward velocity. A projectile does not need to be "falling." Answer: ABDEF and possibly G . a. TRUE - Free-falling objects, like projectiles, are objects upon which the only significant force is gravity. b.3. Draw the motion of the soccer ball. Then indicate the points at which it was moving the slowest and the points at which it was moving the fastest. Also indicate any other variables that can help you solve future problems (Ex: time, acceleration, velocity, and displacement). (2 pts) 4. Write down all the known variables about the ball from the moment the ball leaves the flatVocabulary: acceleration, air resistance, gravity, hang time, launch angle, projectile motion, trajectory, vector, velocity. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) You are in a contest with your friends to see who can drive a golf ball the farthest.AP PHYSICS: Lab #4 - Projectile Motion Lab Mr. O'Hagan Oct. 11, 2010 I SUMMARY This lab was performed to determine if the equations of motion accurately predict projectile motion. Calculations were made to predict how far a small steel ball would travel before hitting the ground when it is rolled of a lab bench. An experiment was run to see how far the ball actually goes.This is called projectile motion. Projectile motion is one of the concepts in mechanics that students have the most trouble with. The ideas, however, are no different from the ones you've been dealing with already. The key to projectile motion is to analyze the motion one axis at a time (either x-axis or y-axis). You are still going to be usingPhysics questions and answers. 2-D Kinematics and Projectile Motion PRE-LAB QUESTIONS 1. In one of your experiments, you will roll a marble down a ramp to provide an initial horizontal velocity. Suppose you start the marble at rest (v. = 0 m/s) and it travels a distance of, d, down the ramp. Use 1-D kinematics to predict the velocity of the ...Introduction to Projectile Motion - Formulas and Equations Projectiles Launched Horizontally Projectile Motion PhET Projectile Motion Phet Lab Vectors and 2D Motion: Crash Course Physics #4 How to easily solve projectile motion problems in physics AP Calculus - Position Velocity Acceleration FRQ free response questions 2000-2004 03 Phys 1101 ...0 m/s. how does the angle that a projectile is launched at affects the horizontal distance the projectile. travels. the greater the angle the shorter the distance traveled. Physics Unit 3: Projectile Motion. resultant. Click the card to flip 👆. a vector that represents the sum of 2 or more vectors. Click the card to flip 👆.Vocabulary: acceleration, air resistance, gravity, hang time, launch angle, projectile motion, trajectory, vector, velocity. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) You are in a contest with your friends to see who can drive a golf ball the farthest.Advertisement The first revolvers used gunpowder, balls and caps like the earlier percussion-cap pistols. The shooter would load each of the six chambers in the cylinder with gunpo...6. Barry Bonds hits a 125m (450') home run. Assuming that the ball left the bat at an angle of 45° from the horizontal, calculate how long the ball was in the air. 7. Will Clark throws a baseball with a horizontal component of velocity of 25 m/s. It takes 3.00s to come back to its original height. Calculate its horizontal range, its initial ...Projectile Motion - PhysLab | Physics for a changeKE=. 1/2mv^2. You will determine the velocity of a metal projectile fired from a gun into a device called. The ballistic pendulum. The pendulum's index point is. A point that locates the position of the center of gravity for the catcher-ball combination. passing along the favor since the answers are only available on chegg but venmo me money if ...The motion of objects soaring through the air has been a source of fascination for scientists and curious individuals throughout history. In physics, projectile motion is a fundamental concept that unveils the captivating nature of objects propelled into the air, guided solely by the force of gravity. This article explores projectile motion ...lower-right corner of the iFrame.Physics Simulation: Projectile SimulatorPHET Projectile-Motion Lab ANSWER KEY Go to mrstomm.com More Projectile Motion to find the simulation. Click INTRO to begin and follow your teacher's direction. Speed = 15 m/s Test 1 - Cannon Height & Distance 1. Click andProjectile motion virtual lab answer key Lab Activity: Projectile Motion Include the following in your lab report:1. The title of the lab activity2. The date the lab activity was performed3. The goal(s) of the lab activity4. A description of the lab activity (procedures, sketches or pictures)5. Data collected in the lab activity6.Newton's Laws Inquiry Lab. Directions: For each of Newton's Laws you are to design and test an experiment at your table that proves the law. Each table has an assortment of materials at your disposal. You may only use what you have and it must be done at your table. Process: 1. Use the link to define the law 2.Projectile motion Objective: To explore various aspects of projectile motion and to calculate the initial velocity of the projectile launcher. Introduction: In last week's experiment, we showed that an object released from rest accelerates toward the Earth's surface at a rate of 9.8 m/s 2 .As we have seen in lecture, objects that are thrown in the air with some initial velocity also ...Title. Concept questions for Physics using PhET (Inquiry Based) Description. Written for legacy sims, not the html5 ones. These are the clicker questions that I use in my PhET activities. I update this activity as I add questions. This year, I put them in the order that I use them and included a scope and sequence for my course.Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.The motion of falling objects, as covered in Chapter 2.6 Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal ...Showing top 8 worksheets in the category - Projectile Motion With Answer Key. Some of the worksheets displayed are , Show your, Ideal projectile motion, Projectile problems, Horizontal projectile problems, Skill and practice work, Projectile practice work key, Read from lesson 2 vectors and motion in two dimensions. Once you find your worksheet, …Exploring Projectile Motion Concepts. Description. In this simulation you can look at the paths of four projectiles, all shot over level ground. The projectiles are launched at four different angles, 20 degrees, 30 degrees, 45 degrees and 60 degrees. You can choose whether you want them all to have the same horizontal range, the same maximum ...Physics Lab 7: Projectile Motion Calvin Williams Shoshanna Baker Physics 1433, Section #D October12th, 2023 ... Answers to the Question: It is possible to determine that the curve will be parabolic even when the launch angle is zero by dividing the launch velocity into horizontal and vertical vectors, using the vertical velocity vector (initial ...Define the Law of Conservation of Energy 2. answer keyPhet sound simulation lab answer key - stefaniaconsigliere. Jan 11, 2022 · As this Physics Conservation Of Energy Worksheet Solutions, it ends going on being one of the favored book Physics Conservation Of Energy Worksheet Solutions collections that we have.SimulatorPHET Projectile-Motion Lab ANSWER KEY Go to mrstomm.com More Projectile Motion to find the simulation. Click INTRO to begin and follow your teacher's direction. Speed = 15 m/s Test 1 - Cannon Height & Distance 1. Click and drag the left-side of the cannon to decrease the height to 3Lab 3. Projectile Motion. Preliminary Question Answers: Predict which penny will land first, the penny moving horizontally, or the one that simply drops off the table. Explain. Because the y-axis velocity is equal to zero, both pennies will land at the same moment. Perform the investigation, listening for the sound of the pennies as they land.Consider a projectile motion of a ball as shown in Fig. 1. At t = 0 the ball is released at the position (0, y0) with horizontal velocity vx. Figure 1. The system of coordinates for the projectile motion. where g = 9.81 m/sec2 is the gravitational acceleration. This set of equations describes a kinematics model for projectile motion based on ...Projectile motion lab Projectile motion lab answers investigating help solved 7a 7d need physics Projectile packet projectiles inquiry answers Solved lab #3 investigating projectile motion phys 1 110 Forces and motion simulation lab answer key / is a measure of mass inProjectile worksheet phet studying _projectile_packet_answers.docLab4 ...The path followed by a projectile is called its trajectory. A projectile moves at a constant speed in the horizontal direction while experiencing a constant acceleration of 9.8 m/s 2 downwards in the vertical direction. To be consistent, we define the up or upwards direction to be the positive direction. Therefore the acceleration of gravity is ...a projectile is that its motion in the vertical direction is independent of its motion in the horizontal direction. If air resistance is small enough to be ignored, then the only force acting on a projectile after it is launched, is the vertical force of gravity. Therefore, in the absence of air resistance, the horizontal component of the projectile’s velocity …Question: EXPERIMENT 9 Projectile Motion: The Ballistic Pendulum Laboratory Report B. Determination of the Initial Velocity of a Projectile from Range-Fall Measurements DATA TABLE 2 Purpose: To determine the magnitude of initial projectile velocity. Trial Range (cm) Vertical distance of fall, y Computed v. 105 cm 226 2 230 (units) 3 228 Percent ...Comment: Conclusion linking back to hypothesis. For horizontally launched , Lab Projectile Motion Physics 101, Spring 2020 February 10, Phet simulation projectile motion worksheet answer key pd, To find answers to questions about MySpanishLab, go to the MySpanishLab Pearson login website, log into the sy, Three-Part Conclusion! In the table below, name at least three properties of projectile, View Projectile Motion Virtual Lab 2.pdf from SCIENCE 209 at Laney High School. P, ANSWER KEY Projectile Motion Worksheet #2 1. An astronaut stands on , guided inquiry kinetics key phet studylib net ph et lab week 2 ph, Here’s the best way to solve it. For third quest …. PRE-LAB PRE, Semester : Fall 2020 Lab (Activity) Number: 3 Experiment Na, Play with balls of different sizes and speeds in this online simula, Title. Projectile Motion Virtual Lab Activity. Description. Com, Type of Lab: Short name: Description: H: hands on: student sets up equ, Phet molecule shapes worksheet answer key quizlet Physics cla, 8. (one point) Using the motion formula you selected in Ste, AP Physics PhET Projectile Motion Lab - PhET Contribution Project, Play with balls of different sizes and speeds in this online simulatio, Phet simulation projectile motion worksheet answer k.