Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 11, Problem 6P
A student claims that he has found a vector
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Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ = (3.0i ^ + 4.0j ^ + 10.0k ^ )N .
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If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of B on A, and the cosine of the angle between A and B.
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. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 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 - A particle is located at a point described by the...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - Prob. 9PCh. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Prob. 12PCh. 11 - A particle of mass m moves in a circle of radius R...Ch. 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. 16PCh. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 24PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 26PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Prob. 28PCh. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Prob. 33APCh. 11 - Prob. 34APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 36APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Prob. 38APCh. 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 - Two children are playing on stools at a restaurant...Ch. 11 - You are attending a county fair with your friend...Ch. 11 - Prob. 44APCh. 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. 47APCh. 11 - A solid cube of wood of side 2a and mass M is...Ch. 11 - Prob. 49CPCh. 11 - Prob. 50CP
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- Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk . (a) 1/√ 61 3ˆı + 6ˆj + 4ˆk (b) 1/√ 46 ˆı − 3ˆj + 6ˆk (c) 1/√ 209 12ˆı +ˆj − 8 ˆk (d) 1/√ 21 2ˆı − 4ˆj + ˆk (e) 1/√ 83 ˆı +ˆj − 9arrow_forwardWhat is the magnitude of a→×(b→×a→) if there is an angle φ = 23.0° between the directions of a→ and b→? Assume a = 7.9 and b = 5.1.arrow_forwardConsider the following two vectors:U = 1.3i + 2.2j + 4.1kV = -5.5i - 6.5j + 11.3k What is the magnitude of the vector U? What is the magnitude of the vector V? What is the angle between U and V? Enter this as an angle between 0 and 90°.arrow_forward
- What is the component of the force vector G = (3.0i + 4.0j + 10.0k )N along the force vector H = (1.0i + 4.0j )N ?arrow_forwardGiven the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A + B in unit vector notation? Group of answer choices 37.0 i + 90.0 j 8.50 i + 14.7 j 25.8 i + 24.7 j 17.3 i + 10.0 j 32.0 i + 18.5 j 29.3 i + 15.4 jarrow_forwardWhat is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?arrow_forward
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