Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 11, Problem 10P
A student claims that he has found a vector
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The vector in the figure has a magnitudeof 40.0 [m] and makes an angle of 15.0◦ with respect tothe y-axis. What is the component form of vector−→k ?A. 10.4 [m] ˆı − 38.6 [m] ˆB. 10.4 [m] ˆı + 38.6 [m] ˆC. −10.4 [m] ˆı − 38.6 [m] ˆD. −10.4 [m] ˆı + 38.6 [m] ˆ
Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is the angle between them?
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.
Find each magnitude and direction.
Chapter 11 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 11.1 - Which of the following statements about the...Ch. 11.2 - Recall the skater described at the beginning of...Ch. 11.3 - A solid sphere and a hollow sphere have the same...Ch. 11.4 - A competitive diver leaves the diving board and...Ch. 11 - Prob. 1OQCh. 11 - Prob. 2OQCh. 11 - Prob. 3OQCh. 11 - Prob. 4OQCh. 11 - Prob. 5OQCh. 11 - Prob. 6OQ
Ch. 11 - Prob. 7OQCh. 11 - Prob. 8OQCh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - In some motorcycle races, the riders drive over...Ch. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - A particle is located at a point described by the...Ch. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - A student claims that he has found a vector A such...Ch. 11 - Prob. 11PCh. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - Prob. 13PCh. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Prob. 16PCh. 11 - A particle of mass m moves in a circle of radius R...Ch. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - A 5.00-kg particle starts from the origin at time...Ch. 11 - A ball having mass m is fastened at the end of a...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Prob. 26PCh. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 34PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 36PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Prob. 38PCh. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Prob. 45APCh. 11 - Prob. 46APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 48APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Two children are playing on stools at a restaurant...Ch. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Native people throughout North and South America...Ch. 11 - Prob. 58APCh. 11 - Global warming is a cause for concern because even...Ch. 11 - The puck in Figure P11.46 has a mass of 0.120 kg....Ch. 11 - Prob. 61CPCh. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - A solid cube of wood of side 2a and mass M is...
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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_forwardI need help with this problem: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What should be the length of B⃗ B→ so that the magnitude of their vector sum is 4.00?arrow_forwardGiven the three vectors P = 3x + 2ŷ − 2, Q = −6x − 4ỹ + 22, R = â – 2ŷ – 2 find two that are perpendicular and two that are parallel or antiparallel.arrow_forward
- (a) Let r = (x, Y, z) and r = ||r||. Assuming r cannot equal 0, is there a value of p for which the vector field f(r)=r/r^P is solenoidal? You must fully justify your answer. (b) Show that if f and g are twice differentiable scalar fields then V²(f g) = ƒ V^2g+ g V²f + 2Vƒ · Vgarrow_forwardTwo vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?arrow_forwardVector a→a→ has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→ has a magnitude of 20 units and makes +60° with the +x-axis. What is magnitude of the vector a→−b→a→-b→ ?arrow_forward
- Two vectors are given by A = 3i– 23 + 4k and B = 6} – 2k. Ignoring units, calculate Ả× B.arrow_forwardb) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such that 3ä 4b-2c = 0.arrow_forwardThree vectors are given by a→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î +(1.00)ĵ +(4.00)k Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x- component, (d) y-component, and (e) z- component of a→x(b→+c→) respectively.arrow_forward
- - D1.2. A vector field S is expressed in rectangular coordinates as S = {125/ [(x - 1)²+(y-2)² + (z+1)²]}{(x − 1)ax +(y− 2)ay+(z+1)a₂}. (a) Evaluate S at P(2, 4, 3). (b) Determine a unit vector that gives the direction of S at P. (c) Specify the surface f(x, y, z) on which |S| = 1. Ans. 5.95ax +11.90ay +23.8az; 0.218ax +0.436ay +0.873az; √(x − 1)² + (y-2)² + (z + 1)² = 125arrow_forwardThree vectors →A , →B, and →C have the following x and y components: x-component y-component →A -9.00 6.00 →B 8.00 -6.50 →C 0.00 5.50 What is the magnitude of R→=A→−B→−C→ ?arrow_forwardTwo vectors A→ and B→ are at right angles to each other. The magnitude of A→ is 1. What should be the length of B→ so that the magnitude of their vector sum is 2?arrow_forward
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