Chapter 1 Solutions to Problems

Chapter 1 Solutions to Problems - CHAPTER 1 INTRODUCTION...

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CHAPTER 1 INTRODUCTION AND MATHEMATICAL CONCEPTS ANSWERS TO FOCUS ON CONCEPTS QUESTIONS 1. (d) The resultant vector R is drawn from the tail of the first vector to the head of the last vector. 6. (c) In this drawing the vectors – B and – C are reversed relative to B and C , while vector A is not reversed. 8. (c) When the two vector components A x and A y are added by the tail-to-head method, the sum equals the vector A . Therefore, these vector components are the correct ones. 12. (e) The scalar components are given by A x = (450 m) sin 35.0 ° = 258 m and A y = (450 m) cos 35.0 ° = 369 m. 15. (d) 17. R x = 0 m, R y = 6.8 m 18. R = 7.9 m, θ = 21 degrees
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2 INTRODUCTION AND MATHEMATICAL CONCEPTS CHAPTER 1 INTRODUCTION AND MATHEMATICAL CONCEPTS PROBLEMS ____________________________________________________________________________________________ 12. REASONING The shortest distance between the tree and the termite mound is equal to the magnitude of the chimpanzee's displacement r . SOLUTION a. From the Pythagorean theorem, we have r =+ = (51 m) (39 m) 64 m 22 51 m r θ 39 m b. The angle is given by = F H G I K J tan 39 m 51 m 37 south of east 1 _____________________________________________________________________________________________ 17. REASONING AND SOLUTION Consider the following views of the cube. L a a C Na Na Bottom View c a L C Na Na Side View The length, L , of the diagonal of the bottom face of the cube can be found using the Pythagorean theorem to be L 2 = a 2 + a 2 = 2(0.281 nm) 2 = 0.158 nm 2 or L = 0.397 nm The required distance c is also found using the Pythagorean theorem. c 2 = L 2 + a 2 = (0.397 nm) 2 + (0.281 nm) 2 = 0.237 nm 2 Then, 0.487 nm c =
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Chapter 1 Problems 3 24. REASONING The Pythagorean theorem (Equation 1.7) can be used to find the magnitude of the resultant vector, and trigonometry can be employed to determine its direction.
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This note was uploaded on 12/20/2010 for the course PHYSICS 203 taught by Professor Croft during the Spring '08 term at Rutgers.

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Chapter 1 Solutions to Problems - CHAPTER 1 INTRODUCTION...

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