Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
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Chapter 3, Problem 39PQ

(a)

To determine

The vector A in component form.

(a)

Expert Solution
Check Mark

Answer to Problem 39PQ

The vector A in component form is A=(15.0i^6.00j^3.00k^)m_.

Explanation of Solution

Write the expression to find the component form of any vector.

    A=xi^+yj^+zk^

Here, x is the x component of the vector, y is the y component of the vector and z is the z component of the vector.

Conclusion:

Substitute 15.0m for x, 6.00m for y and 3.00m for z in the above equation.

    A=(15.0m)i^+(6.00m)j^+(3.00m)k^=(15.0i^6.00j^3.00k^)m

Therefore, the vector A in component form is A=(15.0i^6.00j^3.00k^)m_.

(b)

To determine

The vector B in component form having one-third the length of vector A but in the same direction of the vector A.

(b)

Expert Solution
Check Mark

Answer to Problem 39PQ

The vector B in component form having one-third the length of vector A but in the same direction of the vector A is B=(5.00i^2.00j^1.00k^)m_.

Explanation of Solution

Write the expression to find the vector B.

    B=13A

Conclusion:

Substitute (15.0i^6.00j^3.00k^)m for A in the above equation.

    B=13((15.0i^6.00j^3.00k^)m)=(5.0i^2.00j^1.00k^)m

Therefore, the vector B in component form having one-third the length of vector A but in the same direction of the vector A is B=(5.00i^2.00j^1.00k^)m_.

(c)

To determine

The vector C in component form having thrice the length of vector A but in the opposite direction of the vector A.

(c)

Expert Solution
Check Mark

Answer to Problem 39PQ

The vector C in component form having thrice the length of vector A but in the opposite direction of the vector A is C=(45.00i^+18.0j^+9.00k^)m_.

Explanation of Solution

Write the expression to find the vector C.

    C=3A

Conclusion:

Substitute (15.0i^6.00j^3.00k^)m for A in the above equation.

    C=3((15.0i^6.00j^3.00k^)m)=(45.00i^+18.0j^+9.00k^)m

Therefore, the vector C in component form having thrice the length of vector A but in the opposite direction of the vector A is C=(45.00i^+18.0j^+9.00k^)m_.

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Chapter 3 Solutions

Physics for Scientists and Engineers: Foundations and Connections

Ch. 3 - Prob. 6PQCh. 3 - Prob. 7PQCh. 3 - The layout of the town of Popperville is a...Ch. 3 - Prob. 9PQCh. 3 - Prob. 10PQCh. 3 - Prob. 11PQCh. 3 - Prob. 12PQCh. 3 - In Chapter 5, you will study a very important...Ch. 3 - Refer to the situation described in Problem 14....Ch. 3 - Vector A has a magnitude of 4.50 m and makes an...Ch. 3 - Miguel, an Ultimate Frisbee player, is running...Ch. 3 - A baseball diamond consists of four plates...Ch. 3 - Prob. 19PQCh. 3 - Prob. 20PQCh. 3 - Two aircraft approaching an aircraft carrier are...Ch. 3 - Prob. 22PQCh. 3 - A truck driver delivering office supplies downtown...Ch. 3 - Prob. 24PQCh. 3 - Carolyn rides her bike 40.0 south of west for 5.40...Ch. 3 - Prob. 26PQCh. 3 - Prob. 27PQCh. 3 - Prob. 28PQCh. 3 - Prob. 29PQCh. 3 - Prob. 30PQCh. 3 - Prob. 31PQCh. 3 - Prob. 32PQCh. 3 - Prob. 33PQCh. 3 - Prob. 34PQCh. 3 - A firecracker explodes into four equal pieces...Ch. 3 - Prob. 36PQCh. 3 - Prob. 37PQCh. 3 - Prob. 38PQCh. 3 - Prob. 39PQCh. 3 - Figure P3.40 shows a map of Grand Canyon National...Ch. 3 - Prob. 41PQCh. 3 - The same vectors that are shown in Figure P3.6 are...Ch. 3 - A supertanker begins in Homer, Alaska, sails 125...Ch. 3 - A Three vectors are shown in Figure P3.44, but...Ch. 3 - A vector A=(5.20i3.70j) m and a vector...Ch. 3 - Prob. 46PQCh. 3 - Prob. 47PQCh. 3 - Prob. 48PQCh. 3 - An airplane leaves city A and flies a distance d1...Ch. 3 - An aircraft undergoes two displacements. If the...Ch. 3 - The resultant vector R=2AB2C has zero magnitude....Ch. 3 - A Three vectors all have the same magnitude. The...Ch. 3 - The two-dimensional vectors A and B both have...Ch. 3 - Prob. 54PQCh. 3 - Two birds begin next to each other and then fly...Ch. 3 - Prob. 56PQCh. 3 - General Problems 57. G A spider undergoes the...Ch. 3 - Peter throws a baseball through a houses window....Ch. 3 - Prob. 59PQCh. 3 - Prob. 60PQCh. 3 - Prob. 61PQCh. 3 - A glider aircraft initially traveling due west at...Ch. 3 - What are the magnitude and direction of a vector...Ch. 3 - Prob. 64PQCh. 3 - Prob. 65PQCh. 3 - Prob. 66PQCh. 3 - Prob. 67PQCh. 3 - Prob. 68PQCh. 3 - Prob. 69PQCh. 3 - Prob. 70PQCh. 3 - Vector F is proportional to vector A such that...Ch. 3 - Prob. 72PQCh. 3 - Prob. 73PQCh. 3 - Problems 74 and 75 are paired. 74. N A classroom...Ch. 3 - Prob. 75PQ
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