2. A student makes the following measurements in the lab:x 2.51 ± 0.01 cmy = 1.0592 ± 0.0005 cmz = 4.939 ± 0.002 cm(4 pts)The experiment requires that the student calculates the quantity q = xyz² + x1/2y2z3/2Calculate the q and its uncertainty.

Measurements and Uncertainties:x = 2.51 cm ± 0.01 cmy = 1.0592 cm ± 0.0005 cmz = 4.939 cm ± 0.002…

Answered: 2. A student makes the following…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 12P: The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the...

See similar textbooks

Similar questions

The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.
A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?
(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12 s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
(a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?
How does a model differ from a theory?
A student makes the following measurements in the lab: x = 2.51 ± 0.01 cm y = 1.0592 ± 0.0005 cm z = 4.939 ± 0.002 cm The experiment requires that the student calculates the quantity q = xyz^2 + x^1/2y^2z^3/2. Calculate the q and its uncertainty
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 (а) 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.
Physics A distance R is measured to be 5.400±0.003m. What is the absolute uncertainty in R^-2?
1. A pyramid has a square base of side x and height h. The volume V of the pyramid is given by the expression: x²h V = 3 If V is measured the relative uncertainty of V is 5% and 3%, what is the percentage uncertainty of x? Remember to include the % symbol with your answer. 2-A rock is thrown to the top of a mountain of height h with an initial speed 42.0 m /s and an angle 0 = 60.0 ° with the horizontal. The stone falls at point A, 5.50 s after launch. Determine (a) the height h of the mountain, (51.8) (b) the resultant speed of the stone just before the impact on A and (27.4) (c) the maximum height H reached above the ground. (67.34) H 3- A race car driver travelling at 15 m/s accelerates at a constant value for 10 s. She is now driving at a speed of 35 m/s . What was her acceleration? Give your answer in m/s² to one significant figure. (2 m/s?)
B-2. Consider y = A sin(at), which is a function of A, and t, where A = (2.054 ± 0.012)m, w = (2735+8) s¹ and t = (0.000341 +0.00015)s. Find y with the appropriate uncertainty.
Given ρ , where m = 276.180 (0.020) g，D = 3.662 (0.005) cm，h = 12.180 (0.010) cm，which measurements of m, D and H has the greatest influence on the uncertainty of ρ? The measurement of D has the greatest influence on the uncertainty of ρ. Can't judge. The measurement of m has the greatest influence on the uncertainty of ρ. The measurement of h has the greatest influence on the uncertainty of ρ.

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781285737027

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781285737027

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

2. A student makes the following measurements in the lab: x 2.51 ± 0.01 cm y = 1.0592 ± 0.0005 cm z = 4.939 ± 0.002 cm (4 pts) The experiment requires that the student calculates the quantity q = xyz² + x1/2y2z3/2 Calculate the q and its uncertainty.