Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 46P
Vector
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The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the largest and smallest possible values for the resultant vector R → = A → + B →?
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Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 1.2 - True or False: Dimensional analysis can give you...Ch. 1.3 - The distance between two cities is 100 mi. What is...Ch. 1.7 - Which of the following are vector quantities and...Ch. 1.8 - Prob. 1.4QQCh. 1.8 - Prob. 1.5QQCh. 1.9 - Choose the correct response to make the sentence...Ch. 1.9 - If at least one component of a vector is a...Ch. 1.9 - If A + B = 0, the corresponding components of the...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...
Ch. 1 - Rank the following five quantities in order from...Ch. 1 - What is the y component of the vector (3i8k) m/s?...Ch. 1 - Prob. 5OQCh. 1 - Prob. 6OQCh. 1 - One student uses a meterstick to measure the...Ch. 1 - Prob. 8OQCh. 1 - What is the x component of the vector shown in...Ch. 1 - What is the y component of the vector shown in...Ch. 1 - Prob. 11OQCh. 1 - Prob. 12OQCh. 1 - Figure OQ1.13 shows two vectors D1 and D2. Which...Ch. 1 - A vector points from the origin into the second...Ch. 1 - Prob. 15OQCh. 1 - Prob. 16OQCh. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - A book is moved once around the perimeter of a...Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Figure P1.6 shows a frustum of a cone. Match each...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10PCh. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - Assume it takes 7.00 min to fill a 30.0-gal...Ch. 1 - Prob. 16PCh. 1 - Find the order of magnitude of the number of...Ch. 1 - Prob. 18PCh. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Carry out the arithmetic operations (a) the sum of...Ch. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - A sidewalk is to be constructed around a swimming...Ch. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Two points in the xy plane have Cartesian...Ch. 1 - The polar coordinates of a point are r = 5.50 m...Ch. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 35PCh. 1 - A plane flies from base camp to Lake A, 280 km...Ch. 1 - A roller-coaster car moves 200 ft horizontally and...Ch. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Find the horizontal and vertical components of the...Ch. 1 - Prob. 41PCh. 1 - Vector B has x, y, and z components of 4.00, 6.00,...Ch. 1 - Prob. 43PCh. 1 - Three displacement vectors of a croquet ball are...Ch. 1 - Prob. 45PCh. 1 - Vector A has x and y components of 8.70 cm and...Ch. 1 - Prob. 47PCh. 1 - Use the component method to add the vectors A and...Ch. 1 - Prob. 49PCh. 1 - Consider the three displacement vectors A=(3i3j)m,...Ch. 1 - A person going for a walk follows the path shown...Ch. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - A child loves to watch as you fill a transparent...Ch. 1 - One cubic centimeter of water has a mass of 1.00 ...Ch. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - A pirate has buried his treasure on an island with...Ch. 1 - Prob. 70PCh. 1 - Prob. 71P
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- Find (a) the x- and (b) y-components of R = 2A B if A has components Ax = 15.0 m and Ay = 12.0 m whereas B has components Bx = 24.0 m and By = 8.00 m. (See Section 3.2.)arrow_forwardA pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forwardVector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forward
- Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardWhat is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forward
- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forwardWhat is the x component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answersarrow_forward
- A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardThe magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forwardConsider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.arrow_forward
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