Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 31, Problem 24P
(a)
To determine
The uncertainty of the distance.
(b)
To determine
The percentage uncertainty in the distance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A student is examining a bacterium under the microscope. The E.
coli bacterial cell has a mass of m = 0.100 fg (where a
femtogram, fg, is 101 g) and is swimming at a velocity of v
1.00 m/s, with an uncertainty in the velocity of 5.00 % . E. coli
bacterial cells are around 1 m ( 10-° m) in length. The student
is supposed to observe the bacterium and make a drawing.
However, the student, having just learned about the Heisenberg
uncertainty principle in physics class, complains that she cannot
make the drawing. She claims that the uncertainty of the
bacterium's position is greater than the microscope's viewing
field, and the bacterium is thus impossible to locate.
а
Part A
What is the uncertainty of the position of the bacterium?
Express your answer with the appropriate units.
View Available Hint(s)
μΑ
?
Ω
Value
Units
A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.300 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 6.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate. What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units (m).
The length of a clock's pendulum can be adjusted so that it keeps time accurately. With what precision must the length be known for such a clock to have an accuracy of 3.00 seconds in a year
(365.25 days), all other variables being neglected? (If, for example, the length must be known to within 3 parts in 1,000,000, give your answer as or 3.00e-6.)
Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - Prob. 49PCh. 31 - Prob. 50PCh. 31 - Prob. 51PCh. 31 - Prob. 52PCh. 31 - Prob. 53PCh. 31 - Prob. 54PCh. 31 - Prob. 55PCh. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - Prob. 58PCh. 31 - Prob. 59PCh. 31 - Prob. 60PCh. 31 - Prob. 61PCh. 31 - Prob. 62PCh. 31 - Prob. 63PCh. 31 - Prob. 64PCh. 31 - Prob. 65PCh. 31 - Prob. 66PCh. 31 - Prob. 67PCh. 31 - Prob. 68PCh. 31 - Prob. 69PCh. 31 - Prob. 70PCh. 31 - Prob. 71PCh. 31 - Prob. 72PCh. 31 - Prob. 73PCh. 31 - Prob. 74PCh. 31 - Prob. 75PCh. 31 - Prob. 76PCh. 31 - Prob. 77PCh. 31 - Prob. 78PCh. 31 - Prob. 79PCh. 31 - Prob. 80PCh. 31 - Prob. 81PCh. 31 - Prob. 82PCh. 31 - Prob. 83PCh. 31 - Prob. 84P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?arrow_forwardA marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. 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 percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?arrow_forwardA person measures his or her heart rate by counting the number of beats in 30s. If 401 beats are counted in 30.00.5s , what is the heart rate and its uncertainty in beats per minute?arrow_forward
- Answer: Uncertainty of Speed = 0.3301 m/s A traffic patrol officer uses a UAV with a camera to measure the transit time of vehicles between two-mile markers to measure the speed of vehicles on a major highway. A certain vehicle passes through the two-mile markers with an average speed of 77 miles per hour, and the distance between the markers is 5280 ft ± (50 ft). If the officer uses a stopwatch to measure the transit time, and his reaction time uncertainty to any single event is 0.05 sec, what is the uncertainty in the aircraft-based speed measurement? calculation work shown either by hand or mathcadarrow_forwardMost real time clock chips use 32.678 KHz crystals (2^15), Why clock chips of 2^12 Hz or 2^18 Hz are not considered just as good?arrow_forwardProve that Vav= 0.92 Vrmsarrow_forward
- EX.2: A measurement establishes the position of a proton with an accuracy of +1.00 x 10-11 m. Find the uncertainty in the proton's position 1.00 s later. Assume v « c.arrow_forwardB-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.arrow_forwardA student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of mmm = 0.300 fgfg (where a femtogram, fgfg, is 10−15g10−15g) and is swimming at a velocity of vvv = 9.00 μm/sμm/s , with an uncertainty in the velocity of 9.00 %% . E. coli bacterial cells are around 1 μmμm ( 10−6 m10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate what is the uncertainity position of the bacteriumarrow_forward
- Using the trig. substitution 2 sin(θ) cos (θ) = sin(2θ), the range expression becomes: Range = ______ a) vi2 sin(2θ) / g b) vi2 sin(2θ) / (2g) c) vi sin(2θ) / g d) vi sin(2θ) / (2g)arrow_forwarddN M MV 3/2 y 2 exp( 2 ART F (V )dV 47 (- N 2 RT Find the Vm value by considering the following curve 25 x 10- 20 x 10-4 298 K 15 x 10-4 10 x 10-4 1500 K 5 x 10-4 Vm Vm u, m s-1 || 00s 1000z +00SIarrow_forwardE) A student performs the experiment and measures the distance between photogates: d = 50 ±0.1 cm, the times measured by photogates: to = length: s = 10 +0.05 cm. Find the acceleration a of the cart and estimate the uncertainty in a. 0.052 + 0.001s and ti = 0.035 + 0.001 s, and the cart's A The stutarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Math Antics - Scientific Notation; Author: mathantics;https://www.youtube.com/watch?v=bXkewQ7WEdI;License: Standard YouTube License, CC-BY
Physics CH 0: General Introduction (14 of 20) How to Estimate Number of Teachers in US; Author: Michel van Biezen;https://www.youtube.com/watch?v=GBv_JLUzM-M;License: Standard Youtube License