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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Question
Chapter 1, Problem 39P
(a)
To determine
The values of
(b)
To determine
How would explain the values
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Three vectors are given by a→=4.00î +
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U76
The figure shows three vectors. Vector A→ has a length of 32.0, vector B→ has a length of 64.0, and vector C→ has a length of 22.0.
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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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- A 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_forwardTwo vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→.arrow_forwardTwo vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component ofa→along the direction ofb→?arrow_forward
- 2arrow_forwardA B с Supply the logic equation for the following numbered locations. Location 1: Location 2: Location 3: & Location 4: Notes: Use the following symbols: NOT for example AND for example OR for example XOR for example NOT X X AND Y X OR Y X XOR Y is X' is XY is X+Y is X(+)Y Farrow_forwardTwo vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→?arrow_forward
- F23 Evaluate the simplest SI unit of K, if K = m²x3arrow_forwardConsider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y components of A: A, = 11.6 m X. Ay = 11.1 Determine the x and y components of B: = -9.7 m X. 3.7 m !! Let H = B - 3 A. Determine H and express it in unit vector form. H |× i)m Determine the magnitude and direction of H. H= I X m atarrow_forwardPhysicsarrow_forward
- Consider two vectors, A = 16.5 m at 48.0°, and B = (-12.7 + 2.30j) m. Determine the x and y components of A: Ax Ay m. Determine the x and y components of B: B. Let H- B- 3 A. Determine H and express it in unit vector form. 1+ コ)-H Determine the magnitude and direction of H H= mat 3:arrow_forwardConsider the two vectors A = 2.9i - 1.1j and B = -1i - 4.2j a) Calculate A + B 1.90 i -5.30 j b) Calculate A - B 3.90 i 3.10 j c) Calculate |A + B| d) Calculate |A - B| e) Calculate the direction of |A + B| f) Calculate the direction of |A - B|arrow_forwardVector A⃗ A→ has magnitude 3.0 mm and points to the right; vector B⃗ B→ has magnitude 4.0 mm and points vertically upward. Find the magnitude of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→. Find the direction of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→.arrow_forward
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