How many correct experiments do we need to disprove a theory? How many do we need to prove a theory? Explain. If an equation is dimensionally correct, does that mean that the equation must be true? If an equation is not dimensionally correct, does that mean that the equation cannot be true? Rank the following five quantities in order from the largest to the smallest. If two of the quantities are equal, give them equal rank in your list. (a) 0.032 kg (b) 15 g (c) 2.7×105 mg (d) 4.1×10-8 Gg (e) 2.7×108 ?g Can the magnitude of a vector have a negative value? Explain.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 89CP: The purpose of this problem is to show the entire concept of dimensional consistency can be...
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  1. How many correct experiments do we need to disprove a theory? How many do we need to prove a theory? Explain.
  2. If an equation is dimensionally correct, does that mean that the equation must be true? If an equation is not dimensionally correct, does that mean that the equation cannot be true?
  3. Rank the following five quantities in order from the largest to the smallest. If two of the quantities are equal, give them equal rank in your list. (a) 0.032 kg (b) 15 g (c) 2.7×105 mg (d) 4.1×10-8 Gg (e) 2.7×108 ?g
  4. Can the magnitude of a vector have a negative value? Explain.
  5. Can you find two vectors with different lengths that have a vector sum of zero? What length restrictions are required for three vectors to have a vector sum of zero?
  6. GIven a vector A, what is A∙A equal to? What is A×A equal to?
  7. Under what conditions does the magnitude of the average velocity equal the average speed?
  8. Under what conditions is average velocity equal to instantaneous velocity?
  9. An object is thrown straight up into the air and feels no air resistance. How is it possible for the object to have an acceleration when it has stopped moving at its highest point?
  10. If an object is moving toward the west at some instant, in what direction is its acceleration?

 

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