Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 9, Problem 21PQ
To determine
To compute the dot product
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Consider the two vectors A= 12i + 5j and B = -3i.
What is the cross product Ax B?
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-15k
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-21
O 21 k
-51
6. Consider the two vectors.
4-3-4j
B = 6k
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AXB?
b. What is the dot product
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10
Chapter 9 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 9.4 - In the three cases shown in Figure 9.11, a force...Ch. 9.6 - Prob. 9.2CECh. 9.6 - Prob. 9.3CECh. 9.7 - Prob. 9.4CECh. 9.7 - Prob. 9.5CECh. 9.9 - Prob. 9.6CECh. 9 - Pick an isolated system for the following...Ch. 9 - Prob. 2PQCh. 9 - Prob. 3PQCh. 9 - Prob. 4PQ
Ch. 9 - Prob. 5PQCh. 9 - Prob. 6PQCh. 9 - Prob. 7PQCh. 9 - A 537-kg trailer is hitched to a truck. Find the...Ch. 9 - Prob. 9PQCh. 9 - A helicopter rescues a trapped person of mass m =...Ch. 9 - Prob. 11PQCh. 9 - An object is subject to a force F=(512i134j) N...Ch. 9 - Prob. 13PQCh. 9 - Prob. 14PQCh. 9 - Prob. 15PQCh. 9 - Prob. 16PQCh. 9 - Prob. 17PQCh. 9 - Prob. 18PQCh. 9 - Prob. 19PQCh. 9 - Prob. 20PQCh. 9 - Prob. 21PQCh. 9 - Prob. 22PQCh. 9 - A constant force of magnitude 4.75 N is exerted on...Ch. 9 - In three cases, a force acts on a particle, and...Ch. 9 - An object of mass m = 5.8 kg moves under the...Ch. 9 - A nonconstant force is exerted on a particle as it...Ch. 9 - Prob. 27PQCh. 9 - Prob. 28PQCh. 9 - Prob. 29PQCh. 9 - A particle moves in the xy plane (Fig. P9.30) from...Ch. 9 - A small object is attached to two springs of the...Ch. 9 - Prob. 32PQCh. 9 - Prob. 33PQCh. 9 - Prob. 34PQCh. 9 - Prob. 35PQCh. 9 - Prob. 36PQCh. 9 - Prob. 37PQCh. 9 - Prob. 38PQCh. 9 - A shopper weighs 3.00 kg of apples on a...Ch. 9 - Prob. 40PQCh. 9 - Prob. 41PQCh. 9 - Prob. 42PQCh. 9 - Prob. 43PQCh. 9 - Prob. 44PQCh. 9 - Prob. 45PQCh. 9 - Prob. 46PQCh. 9 - Prob. 47PQCh. 9 - Prob. 48PQCh. 9 - Prob. 49PQCh. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A horizontal spring with force constant k = 625...Ch. 9 - A box of mass m = 2.00 kg is dropped from rest...Ch. 9 - Prob. 54PQCh. 9 - Return to Example 9.9 and use the result to find...Ch. 9 - Prob. 56PQCh. 9 - Crall and Whipple design a loop-the-loop track for...Ch. 9 - Prob. 58PQCh. 9 - Calculate the force required to pull a stuffed toy...Ch. 9 - Prob. 60PQCh. 9 - Prob. 61PQCh. 9 - Prob. 62PQCh. 9 - An elevator motor moves a car with six people...Ch. 9 - Prob. 64PQCh. 9 - Figure P9.65A shows a crate attached to a rope...Ch. 9 - Prob. 66PQCh. 9 - Prob. 67PQCh. 9 - Prob. 68PQCh. 9 - Prob. 69PQCh. 9 - Prob. 70PQCh. 9 - Prob. 71PQCh. 9 - Estimate the power required for a boxer to jump...Ch. 9 - Prob. 73PQCh. 9 - Prob. 74PQCh. 9 - Prob. 75PQCh. 9 - Prob. 76PQCh. 9 - Prob. 77PQCh. 9 - Prob. 78PQCh. 9 - Prob. 79PQCh. 9 - A block of mass m = 0.250 kg is pressed against a...Ch. 9 - On a movie set, an alien spacecraft is to be...Ch. 9 - Prob. 82PQCh. 9 - A spring-loaded toy gun is aimed vertically and...Ch. 9 - Prob. 84PQCh. 9 - The motion of a box of mass m = 2.00 kg along the...Ch. 9 - Prob. 86PQCh. 9 - Prob. 87PQCh. 9 - Prob. 88PQ
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- Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of these two vectors, AB. Hint: Make a sketch of both vectors including a coordinate system.arrow_forwardThe two-dimensional vectors A and B both have magnitudes of 7.00 m. If A+B=4.00m, what is the angle between A and B?arrow_forward(a) For what values of the angle between two vectors is their scalar product positive? (b) For what values of is their scalar product negative?arrow_forward
- Consider two vectors A = i +i+k and B = -i + j+ k. Which of the following statements about the given vectors is not true? O The dot product of the two vectors is equal to 1. O The cross product between the two vectors has a z-component equal to zero. O The magnitudes of the two vectors are the same. O The angle between the two vectors is 70.52°arrow_forwardPeter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the horizontal axis (ground), with an initial speed of 15.0 m/s. Assuming the penguin remains rigid (scared, so assume the particle model!) and ignoring any rotational effects, Using the isolated system model, what is the maximum potential energy of the penguin? a. 1370 Joules b. 1125 Joules c. 245 Joules d. 2250 Joulesarrow_forward44. The dot product is used to determine the I. angle between two vectors. I. projection of a vector in a specified direction. II. moment of a force. I only O Il only 1&|I Ill only 45. What is a position vector? A vector represented by a line segment beginning at the origin of an orthogonal coordinate system. O A vector with its position defined in the orthogonal coordinate system. A vector whose arrow is pointing to the right in the orthogonal coordinate system. A vector whose line segment ends at the origin of the orthogonal coordinate system. 46. The scalar product is useful for: determining the weight of falling object. angle between two vectors. resultant of two vectors. O vector product of two vectors,arrow_forward
- Question 5 Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The cross product of MxN equals Choose the best answer. A -9i -7j +3k B 21i +13j +3k 9i +7j -3k 13 E No Answerarrow_forwardQuestion 5 unts Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k ... The cross product of MxN equals Choose the best answer. A -9i -7j +3k В 21i +13j +3k 9i +7j -3k 13 E No Answerarrow_forwardFor the following position [r] and force [F], determine the angle and the magnitude of the force along the position vector. Also determine the force vector along the position vector. F = (20i + 30j - 60k) N and r= (25i + 45j – 100k) N (a) Angle between r and F {degrees] Magnitude of Force ALONG Position Vector- {N] Force vector along, r k [N]arrow_forward
- A 50-N force is directed along the line drawn from the point whose x, y, z coordinates arc (8.2.3) m to the point whose coordinates are (2, -6, 5) m. What is the scalar moments of the force about the y-axis? a. +167 N b.-167 N c. +137 N d.-137 Narrow_forwardA small object of mass 0.5 kg is attached to the end of a light rod AB of length 60 cm. The rod is free to rotate around B. The rod is held horizontally and then released from rest. a Find the speed of the object at the lowest point of the circle.arrow_forwardQ1: A: Given the vectors a=i-2 j+3k and b=-2i+3j-k, show that the cross product ax b is orthogonal to both a and b MB: Find the cross product of the given two vectors X=i+6j+2k and Y-2i+j+3k. je cjeni iz na to Guzme cousin (E)arrow_forward
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