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Test STUDY GUIDE The Test will be held on Thursday, May6, from Noon to 1:00 PM

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Test STUDY GUIDE The Test will be held on Thursday, May6, from Noon to 1:00 PM. Pacific Time Zone. Format • 5 multiple choice questions • 3 calculated Error Propagation questions • 1 essay question that requires a typed response • 1 screenshot upload for your Excel/Google Sheets spreadsheet *For the Error Propagation questions, you will be asked to upload your work so that I can grade it for partial credit if required. So please solve it on paper and take a picture to upload. I have posted some practice questions for this part. Policy: • You will have 60 min • You will be able to view one question at a time. Topics: Measurements and Uncertainties, Error Propagation, Data Analysis, Freefall, Projectile Motion using Video analysis, Newton's second law. Checklist Do you know how to: • Make measurements (including uncertainty) using instruments like a ruler and vernier calipers. • Find the best estimate, absolute uncertainty, and relative (fractional) uncertainty in a measurement. • Report a measurement in the final, rounded format • Propagate uncertainties using the basic rules of error propagation • Plot a graph by hand, and find the slope, y intercept, and uncertainties in slope and y intercept. • Use Excel to create a data table and calculate quantities • Use Excel to generate a scatter plot, insert a trend line, and determine the slope y intercept, and uncertainties in slope and y intercept using the LINEST function. • Use Tracker to analyze videos and make predictions using physics principles Question 11 19 / 20 pts For the following question, you will use Excel or Google sheets and upload a screenshot or Excel file. Your screenshot should show: (1) the data table, (2) the graph, and (3) results of the LINEST function A student records the position of an object as a function of time and gets the following data: 2.1m, 4.3m, 6.2m, 8.5m, and 10.6 m at 3s, 65, 9s, 12s, and 15 s respectively. (1) Create a data table in Excel with the following two columns: Time, Position (Time should be your first column) (2) Find the velocity of the object by using a scatter plot and finding the slope by inserting a trendline. (3) Use the LINEST function to get the uncertainty in the slope. Screenshot.png Linest function table is missing units Question 10 3/5 pts A Burger King commercial shows a guy who jumps out of his window and lands on the street below. A curious physics student uses Tracker to find out if the video is real or fake. She tracks the guy's y-position and does a curve fit. From the adjoining Tracker fit, do you think the video is fake or real? Why? y(t) - 9+ Vit - 19t Kinematic equations: ty(t) -- ty?10? - 29(Ay) -1 -2 Y 4 -5 02 0.4 0.6 0.8 10 12 14 Parameter Fit Name: Parabola Fit Builder Fit Equation: y a'2 bit Autofit ms dev: 5.503E-2 Value - 4770EO 4.41750 -1.540F-1 Your Answer: The commercial is fake. Even though the middle portion of the graph is matching the initial and phase of the jump shows constant value of y for some time which is not possible if it was real. In the last part as well just before hitting the ground the acceleration decreases rapidly and the curve is flat which shouldnt have been the case if it was real. It is real as this is the position-time graph. Twice the coefficient 'a' is close to 9.8 m/s^2 Incorrect Question 5 0/4 pts Two students measure the length of an object to be (74.32 + 0.01) cm and (74.26 +0.05) cm Do the two measurements agree according to the Discrepancy Test? Not enough information Yes, they do No, they don't Incorrect Question 3 0/4 pts A student measures the distance traveled by an object at different instances in time, and draws the following graph by hand: 40 . : 35 30 H. + 25 Distance (cm) 20 Ho 15 - 1 10 5 0 1 1 2 3 3 4 5 7 8 9 10 11 12 6 Time (s) What is the uncertainty in the Y-intercept? 1.7 cm 0.20 cm 1.0 cm 0.33 cm Question 1 4 pts What is the correct measurement on the vernier caliper shown below? Fixed scale 3 4 0 5 10 Vernier scale O 3.44 units 3.34 units 3.54 units 3.04 units A student gathers data of frictional force between two surfaces as a function of normal force with the goal of measuring the coefficients of static and kinetic friction. She comes up with the following graph: 12 11 10 9 8 Frictional Force (N) 4 3 2 2 1 O 0 2 8 16 18 20 22 10 12 14 Normal Force (N) graph corresponds to the static case. (1) The [Select] [ Select ] green (2) The purple [ Select ] A student gathers data of frictional force between two surfaces as a function of normal force with the goal of measuring the coefficients of static and kinetic friction. She comes up with the following graph: 12 11 10 9 8 Frictional Force (N) 6 4 3 2 1 0 0 4 8 16 18 20 22 12 14 Normal Force (N) (1) The (Select] graph corresponds to the static case. (2) The coefficient of static friction is (Select] [ Select] 1.69 0.47 2.13 0.59 A student measures the mass of a block to be (44.542 +0.066) g. What is the correctly rounded measurement? O (44.542 + 0.07) O (45 + 0.07) O (44.5 + 0.06) g (44.54 10.07) g Two students measure the length of a piece of an object to be (64.13 +0.01) cm and (64.21 0.02) cm Do the two measurements agree according to the Discrepancy Test? No, they do not Need more information Yes, they do A student wishes to measure the acceleration due to gravity by dropping a golf ball in an area where air resistance can be ignored. He measures the position 'y' of the ball as a function of time 't', and uses Tracker to insert a curve fit of the form y(t) = At + Bt + C, where A, B, and C, are coefficients. Which one of the following values of coefficient A is reasonable for a golf ball in free fall? 0 0 -4.8 -9.8 0 -19.6 The distance traveled by an object that starts from rest can be found using * = 42 at where a is the acceleration of the object and t is the time taken by the object to cover the distance x. Calculate the absolute uncertainty in the distance for the following measured values: a = (2.32 +0.06) m/s2 t = (0.652 +0.001) s Report your answer up to two decimal places without any units. A student makes the following measurements: a = (3.5 +0.4) cm b = (8.0 +0.2) cm C = (5.0 + 0.1cm Calculate the absolute uncertainty Sf, where f = a + b - Report your answer up to one decimal place without any units. A student makes the following measurements: m = (545 + 45) kg v = (20.1 + 2.6) m/s Calculate the absolute uncertainty 8f, where f = { mu? Report your answer in Si units up to one decimal place. Do not include units. A student analyzes the motion of a bouncing basketball by using Tracker. She drops the basketball from rest, and analyzes its motion. She makes a graph showing the kinetic energy (KE), potential energy (PE), and total energy (TE) of the ball for 4 bounces as shown below. energy vs time 7 6 5- 4- energy (J) 3- -1 0 time (6) Energy graph of the bouncing ball. Answer the following two questions: (1) Identify which graph corresponds to which energy (PE, KE, TE) (2) Why does the energy of the ball decrease after every bounce? Does that mean energy was lost? Is the basketball violating energy conservation? Explain For the following question, you will use Excel or Google sheets and upload the file. You could also upload a screenshot. Your upload should show: (1) the data table, (2) the graph, (3) results of the LINEST function, and (4) the answer to the final equation below i.e. Acceleration due to gravity = ................. The acceleration of a two-mass system is given by a = 9 m2 mitme An experiment consists of varying the mass ratio and measuring acceleration each time A student gathers the following data: Mass ratio Acceleration a (m/s) m2 mitm2 0.3 2.89 0.4 3.90 0.5 4.81 0.6 5.68 0.7 6.74 0.8 7.70 Use Excel to make a graph representing the data and find the value of acceleration due to gravity. Include uncertainty.