A distance R is measured to be 3.400±0.005m. What is the relative uncertainty in R? b) What is the relative uncertainty in R3? c) What is the relative uncertainty in R−2? d) What is the absolute uncertainty in R−2? e) What is the relative uncertainty in √R?

A distance R is measured to be 3.400±0.005m. What is the relative uncertainty in R? b) What is the relative uncertainty in R3? c) What is the relative uncertainty in R−2? d) What is the absolute uncertainty in R−2? e) What is the relative uncertainty in √R?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A student wants to calculate the value of Newton's constant G using the following relation: GM g= R where g is the acceleration due to gravity near the surface of the Earth, M is the mass of the Earth and R is the radius of the Earth. She has the following values and uncertainties : g±Ag= (9.8±0.2)m/s², M ± AM = (6.0000 ±0.0004) × 1024 kg, R±AR=(6380 ± 20)km Which option below correctly expresses the resulting value of G and its uncertainty AG? Select one: 3 G+AG = (6.67±0.02) × 10-11 m² kg-s? G±AG= (6.7±0.2) × 10-11 _m² kg-s² 3 G±AG = (6.67±0.2) × 10-10 m² kg-s 2 G±AG = (6.7±0.02) × 10" kg-s²
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Post-Lab Homework Problems. 1. A student is using a track photogate to determine the time it takes her to run 50 meters. She records the following times: Trial Time (seconds) 1 5.420 5.464 3 5.728 4 5.496 5 5.644 6. 5.794 7 5.540 The data she collects has a mean of 5.583714 seconds, with an absolute uncertainty computed to be 0.141074 seconds. Report her 50-meter time as a confidence interval (a) using the mean and the absolute uncertainty given above. Another student measures his 200-meter run time (b) to be 20.7 + 0.3 seconds. Report the relative uncertainty of each student and identify which has the more precise run time.
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1. Use the data of three trials with the launcher in a horizontal position to determine average, standard deviation and uncertainty of both time and range. Table 1: Trial Time t_(s) Range Ax_(m) 1 0.2049 0.963 0.2114 0.972 3. 0.2083 1.009 Average 0.2082 0.981 Standard deviation Uncertainty Check: Measure the height of ncher H with your ruler: H = 21.4 cm calculate the theoretical time of flight: Is the above value in good agreement with the average time from table 1? Explain. 2. Using the data in Table 1 calculate the initial speed vo= Axevezse/toveurs Initial speed Xe= (units: