Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 5, Problem 18P
To determine

Minimum uncertainty in the position of ball.

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A 64.6 g ball moves at 38 m/s. If its speed is measured to an accuracy of 0.07%, what is the minimum uncertainty in its position? Answer in units of m. S.
The velocity of an electron is measured to a precision of 62 × 10-³ m/s. What is the minimal uncertainty to which its position can be measured? Please give your answer in units of mm, accurate to one decimal place. I.e, the answer you should enter should have the form: XX.X mm. Answer:
1. A student measures values 9.83 m/s?, 9.79 m/s?, 9.85 m/s?, 9.65 m/s?, 9.86 m/s2 and 9.77 m/s2 for g. Given that the "book" value of g is 9.80m/s?, (a) Find the average experimental value of g, with its associated uncertainty (b) Calculate % uncertainty for g (c) Calculate % error for g. (d) Which of the previous answers (b or c) determines the accuracy of the measured value? (e) Which of the previous answers (c or d) determines the precision of the measured value? (f) Is the experimental value compatible with the accepted value?
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