College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 1, Problem 6CQ
Can the validity of a model be limited, or must it be universally valid? How does this compare to the required validity of a theory or a law?
Expert Solution & Answer
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(a)
How many significant figures are in the numbers 999.0 and 1000.0?
999.01000.0
(b)
If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.)
999.0 %1000.0 %
(c)
Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
Please Answer Q1 (a) and (b) step-wise with detailed explanations
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Chapter 1 Solutions
College Physics
Ch. 1 - Models are particularly useful in relativity and...Ch. 1 - How does a model differ from a theory?Ch. 1 - If two different theories describe experimental...Ch. 1 - What determines the validity of a theory?Ch. 1 - Certain criteria must be satisfied if a...Ch. 1 - Can the validity of a model be limited, or must it...Ch. 1 - Classical physics is a good approximation to...Ch. 1 - When is it necessary to use relativistic quantum...Ch. 1 - Can classical physics be used to accurately...Ch. 1 - Identify some advantages of metric units.
Ch. 1 - What is the relationship between the accuracy and...Ch. 1 - Prescriptions for vision correction are given in...Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - Show that 1.0m/s=3.6Km/h. Hint: Show the explicit...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is 6...Ch. 1 - Mount Everest, at 29,028 feet, is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of the Earth's...Ch. 1 - (a) Refer to Table 1.3 to determine the average...Ch. 1 - Suppose that your bathroom scale reads your mass...Ch. 1 - A good-quality measuring tape can be off by 0.50...Ch. 1 - (a) A car speedometer has a 5.0% uncertainty. What...Ch. 1 - An infant's pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper in...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person's blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - If a marathon runner averages 9.5 mi/h, how long...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When non-metric units were used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular cross...Ch. 1 - How many heartbeats are there in a lifetime?Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - How many times longer than the mean life of an...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - Approximately how many atoms thick is a cell...Ch. 1 - (a) What fraction of Earth's diameter is the...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...
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- In each of the three cases, which measured value (mass or volume) limits the precision of the calculated density? Note that the absolute uncertainty in volume cannot be compared directly to that in the mass because the units differ (mL and g), so relative uncertainties must be considered. For volume, relative uncertainty by the rules of significant figures is ±0.01 mL / 20.10 mL = ± 0.0005, a unit-less decimal fraction. Give the relative uncertainty for each mass based on your previous answers to #s 1 & 2. Previous Answers: Balance A: 15.746 gBalance B: 15.75 gBalance C: 15.7 g What is the approximate uncertainty, or implied precision (±) of each measurement? (revise if incorrect) Balance A: ± 0.001 Balance B: ± 0.01 Balance C: ± 0.1arrow_forwardThe Scope and Scale of Physics Can the validity of a model be limited or must it be universally valid? How does this compare with the required validity of a theory or a law?arrow_forwardA 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?arrow_forward
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