COLLEGE PHYSICS-CONNECT ACCESS
COLLEGE PHYSICS-CONNECT ACCESS
5th Edition
ISBN: 9781260486834
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 3, Problem 3P

(a)

To determine

The x and y component of B.

(a)

Expert Solution
Check Mark

Answer to Problem 3P

The x component of B is 6.9_ and y component of B is 1.7_.

Explanation of Solution

Write the expression for the x component of B.

    Bx=Bcosθx^        (I)

Here, B is the magnitude of vector B, Bx is the x component of B, θ is the angle B makes with x axis.

Write the expression for the y component of B

    By=Bsinθy^        (II)

Here, By is the y component of B.

Conclusion:

Substitute 7.1 for B, 14° for θ in equation (I) to find Bx.

    Bx=(7.1)cos(14°)x^=6.9x^

Substitute 7.1 for B, 14° for θ in equation (II) to find By.

    By=(7.1)sin(14°)y^=(7.1)sin(14°)y^=1.7y^

Therefore, the x component of B is 6.9_ and y component of B is 1.7_.

(b)

To determine

The magnitude and direction of C.

(b)

Expert Solution
Check Mark

Answer to Problem 3P

The magnitude C is 6.9_ and direction of C is 105°_ counter clockwise from the x axis.

Explanation of Solution

Write the expression for the magnitude of C.

    C=Cx2+Cy2        (III)

Here, C is the magnitude of C, Cx is the magnitude of Cx, Cy is the magnitude of Cy.

Write the expression for the Cx.

    Cx=Ccosθ        (IV)

Use equation (IV) to solve for θ.

    θ=cos1(CxC)        (V)

Conclusion:

Substitute 1.8 for Cx, 6.7 for Cy in equation (III) to find C.

    C=(1.8)2+(6.7)2=6.9

Substitute 1.8 for Cx, 6.9 for C in equation (V) to find θ.

    θ=cos1(1.86.9)=105°

Counter clockwise direction from the x axis.

Therefore, the magnitude C is 6.9_ and direction of C is 105°_ counter clockwise from the x axis.

(c)

To determine

The magnitude CB is 10_ and direction of CB is 150°_.

(c)

Expert Solution
Check Mark

Answer to Problem 3P

The magnitude and direction of CB is .

Explanation of Solution

Write the expression for the CB.

    CB=(Cxx^+Cyy^)(Bxx^+Byy^)=(CxBx)x^+(CyBy)y^        (VI)

Write the expression for the direction of the CB.

    CB=(CxBx)2+(CyBy)2        (VII)

Write the expression for the direction of CB.

    θ=cos1[(CB)x(CB)]        (VIII)

Conclusion:

Substitute 1.8 for Cx, 6.7 for Cy, 6.9 for Bx, 1.7 for By in equation (VI) to find CB.

    |CB|=(1.86.9)2+(6.7(1.7))2=(8.7)2+(5)2=10

Substitute 8.7 for (CB)x, 10 for (CB) in equation (VIII) to find θ.

    θ=cos1(8.710)=150°

Counter clockwise from the x axis.

Therefore, the magnitude CB is 10_ and direction of CB is 150°_.

(d)

To determine

The x component of CB is 8.6_ and y component of CB is 5_.

(d)

Expert Solution
Check Mark

Answer to Problem 3P

The x and y components of CB is .

Explanation of Solution

Write the expression for the x component of CB.

    (CB)x=(CB)cosθx^        (IX)

Write the expression for the y component of CB.

    (CB)y=(CB)sinθy^        (X)

Conclusion:

Substitute 10 for CB, 150° for ϕ in equation (IX) to find x component of CB.

    (CB)x=(10)cos(150°)x^=8.6x^

Substitute 10 for CB, 150° for ϕ in equation (X) to find y component of CB.

    (CB)y=(10)sin(150°)y^=5y^

Therefore, the x component of CB is 8.6_ and y component of CB is 5_.

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Chapter 3 Solutions

COLLEGE PHYSICS-CONNECT ACCESS

Ch. 3.3 - Prob. 3.6PPCh. 3.3 - Prob. 3.3BCPCh. 3.3 - Prob. 3.7PPCh. 3.3 - Prob. 3.3CCPCh. 3.4 - The wheels fall off Beatrice’s suitcase, so she...Ch. 3.4 - Prob. 3.9PPCh. 3.4 - Prob. 3.10PPCh. 3.4 - Prob. 3.11PPCh. 3.5 - Prob. 3.5CPCh. 3.5 - Prob. 3.12PPCh. 3.5 - Prob. 3.13PPCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - Prob. 8CQCh. 3 - Prob. 9CQCh. 3 - Prob. 10CQCh. 3 - Prob. 11CQCh. 3 - Prob. 12CQCh. 3 - Prob. 13CQCh. 3 - Prob. 14CQCh. 3 - Prob. 15CQCh. 3 - Tell whether each of the following objects has a...Ch. 3 - Prob. 17CQCh. 3 - Prob. 18CQCh. 3 - Prob. 21CQCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Multiple-Choice Questions 7–16. A jogger is...Ch. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 23MCQCh. 3 - Prob. 24MCQCh. 3 - Prob. 25MCQCh. 3 - Prob. 26MCQCh. 3 - Prob. 27MCQCh. 3 - Prob. 28MCQCh. 3 - Prob. 29MCQCh. 3 - Prob. 30MCQCh. 3 - Prob. 31MCQCh. 3 - Prob. 32MCQCh. 3 - Prob. 33MCQCh. 3 - Prob. 34MCQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - You will be hiking to a lake with some of your...Ch. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76PCh. 3 - Prob. 77PCh. 3 - Prob. 78PCh. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - Prob. 82PCh. 3 - Prob. 83PCh. 3 - Prob. 84PCh. 3 - Prob. 86PCh. 3 - Prob. 87PCh. 3 - Prob. 88PCh. 3 - Prob. 89PCh. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Prob. 93PCh. 3 - An elevator starts at rest on the ninth floor. At...Ch. 3 - Prob. 95PCh. 3 - Prob. 96PCh. 3 - Prob. 98PCh. 3 - Prob. 99PCh. 3 - Prob. 100PCh. 3 - Prob. 101PCh. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - Prob. 104PCh. 3 - Prob. 105PCh. 3 - Prob. 106PCh. 3 - Prob. 107PCh. 3 - Prob. 108PCh. 3 - Prob. 109PCh. 3 - Prob. 110PCh. 3 - Prob. 112PCh. 3 - Prob. 113PCh. 3 - Prob. 114PCh. 3 - Prob. 115PCh. 3 - Prob. 116PCh. 3 - Prob. 117PCh. 3 - Prob. 118PCh. 3 - Prob. 119PCh. 3 - Prob. 120PCh. 3 - Prob. 121PCh. 3 - Prob. 122PCh. 3 - Prob. 123PCh. 3 - Prob. 124PCh. 3 - Prob. 126P
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