Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 34.6, Problem 34.6GI
To determine
The uncertainty in momentum.
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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 bird flies a distance of d = 150±3 m during a time t = 20.0±1.0 s. The average speed of the bird is v = d/t = 7.5 m/s. What is the uncertainty of v?
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.
Chapter 34 Solutions
Essential University Physics
Ch. 34.2 - Prob. 34.1GICh. 34.3 - If you replot Fig. 34.7 for a material with a...Ch. 34.3 - Prob. 34.3GICh. 34.4 - Prob. 34.4GICh. 34.5 - Prob. 34.5GICh. 34.6 - Prob. 34.6GICh. 34 - Prob. 1FTDCh. 34 - Prob. 2FTDCh. 34 - Prob. 3FTDCh. 34 - Prob. 4FTD
Ch. 34 - Prob. 5FTDCh. 34 - Prob. 6FTDCh. 34 - Prob. 7FTDCh. 34 - Prob. 8FTDCh. 34 - Prob. 9FTDCh. 34 - Prob. 10FTDCh. 34 - Prob. 11ECh. 34 - The surface temperature of the star Rigel is 104K....Ch. 34 - Prob. 13ECh. 34 - Prob. 14ECh. 34 - Prob. 15ECh. 34 - Prob. 16ECh. 34 - Prob. 17ECh. 34 - Prob. 18ECh. 34 - Prob. 19ECh. 34 - Prob. 20ECh. 34 - Prob. 21ECh. 34 - Prob. 22ECh. 34 - Prob. 23ECh. 34 - Prob. 24ECh. 34 - Prob. 25ECh. 34 - Prob. 26ECh. 34 - Prob. 27ECh. 34 - Prob. 28ECh. 34 - Prob. 29ECh. 34 - Prob. 30ECh. 34 - Prob. 31ECh. 34 - Prob. 32ECh. 34 - Prob. 33ECh. 34 - Prob. 34ECh. 34 - Prob. 35ECh. 34 - Prob. 36ECh. 34 - Prob. 37ECh. 34 - Prob. 38ECh. 34 - Prob. 39ECh. 34 - Prob. 40ECh. 34 - Prob. 41ECh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Prob. 44PCh. 34 - Prob. 45PCh. 34 - Prob. 46PCh. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54PCh. 34 - Prob. 55PCh. 34 - Prob. 56PCh. 34 - Prob. 57PCh. 34 - Prob. 58PCh. 34 - Prob. 59PCh. 34 - Prob. 60PCh. 34 - Prob. 61PCh. 34 - Prob. 62PCh. 34 - Prob. 63PCh. 34 - Prob. 64PCh. 34 - Prob. 65PCh. 34 - Prob. 66PCh. 34 - Prob. 67PCh. 34 - Prob. 68PCh. 34 - Prob. 69PCh. 34 - Prob. 70PCh. 34 - Prob. 71PCh. 34 - Prob. 72PCh. 34 - Prob. 73PCh. 34 - Prob. 74PCh. 34 - Prob. 75PCh. 34 - Prob. 76PCh. 34 - Prob. 77PCh. 34 - Prob. 78PCh. 34 - Prob. 79PCh. 34 - Prob. 80PCh. 34 - Prob. 81PCh. 34 - Prob. 82PPCh. 34 - Prob. 83PPCh. 34 - Prob. 84PPCh. 34 - Prob. 85PP
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- Each measurement we take has a level of uncertainty in it. The smaller the uncertainty, the larger the precision our measurement has. Let's revisit how one might go about estimating the uncertainty in a measurement. If we assume our instrument is properly calibrated and we are not introducing systematic error through improper techniques, then if we take enough measurements, the average of these measurements will be around the true value. The upper and lower bounds of these measurements would then give us one method for determining our measuring device's uncertainty. (This of course is only true for a large set of measurements, but the approximation is good enough for now to get us started). For example, say we perform last week's experiment of pulling a block at a constant velocity with a force sensor across another rough surface. We take the following five measurements: F, = {2.51 N, 2.53 N, 2.50 N, 2.54 N, 2.49 N} The average of this dataset is F, = 2.51 N Now we have the choice of…arrow_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_forwardEX.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_forward
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