A student is examining a bacterium under the microscope. The E.coli bacterial cell has a mass of m = 0.100 fg (where afemtogram, fg, is 101 g) and is swimming at a velocity of v1.00 m/s, with an uncertainty in the velocity of 5.00 % . E. colibacterial cells are around 1 m ( 10-° m) in length. The studentis supposed to observe the bacterium and make a drawing.However, the student, having just learned about the Heisenberguncertainty principle in physics class, complains that she cannotmake the drawing. She claims that the uncertainty of thebacterium's position is greater than the microscope's viewingfield, and the bacterium is thus impossible to locate.аPart AWhat is the uncertainty of the position of the bacterium?Express your answer with the appropriate units.View Available Hint(s)μΑ?ΩValueUnits

The mass of the bacterium is 0.100x10-18kg, velocity is 1.00x10-6m, and the percentage of…

Answered: A student is examining a bacterium…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 38P

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A calculator displays a result as 1.365 218 0 X 107 kg. The estimated uncertainty in the result is 2%. How many digits should be included as significant when the result is written down? (a) zero (b) one (c) two (d) three (e) four
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).
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?
A 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 bacterium
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 mathcad
With a caliper (Δr=0.05 mm), the edge L of a pure copper plate is measured only once. The value read by the experimenter is L=10.00 mm. It is known that the density of copper is ρ=(8.8900±0.0058)×103 kg/m3. What is the mass of the cube with its uncertainty? a) m ± um = (8.890 ± 0.078) g b) m ± um = (8.890 ± 0.078) kg c) m ± um = (8.890 ± 0.078)×10-3 g d) m ± um = (8.90 ± 0.078) g e) m ± um = (8.90 ± 0.08) g
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.
c) In order to measure the density of a new developed material shaped in a (L=2, W=3, H=1) cm rectangular cuboid, which weights 250gm. The length was measured by a Verner caliber which has uncertainty of (+0.1% in mm), and the weight scale has +0.1gm uncertainty. Please calculate the density of the material in standard units, and find its uncertainty.
E) 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 stut
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
An engineer uses a stopwatch to measure the duration of an event. The digital stopwatch reading shows 0.77 s. (a) What uncertainty is implied by the reading itself without any other knowledge? (b) Suppose the stopwatch manufacturer specifications state an error of up to 1% of the reading. What value of uncertainty might you state with the reading? (c) Suppose the engineer adds an uncertainty of 0.05 s due to reaction time. What uncertainty might you state with the reading?
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.

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