COLLEGE PHYSICS-CONNECT ACCESS
COLLEGE PHYSICS-CONNECT ACCESS
5th Edition
ISBN: 9781260486834
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 2, Problem 26P

(a)

To determine

The x and y components of b.

(a)

Expert Solution
Check Mark

Answer to Problem 26P

The x and y components of b are 7 and 2 respectively.

Explanation of Solution

The magnitude of b is 7.1 and it is in direction 14° the +x axis.

Write the expression for x component of b.

  bx=bcosθ        (I)

Here, b is the magnitude of b, and θ is the angle inclined by b with x axis.

Write the expression for y component of b.

  by=bsinθ        (II)

Conclusion:

Substitute, 7.1 for b, 14° for θ in equation (I) to find the x component of b.

  bx=(7.1)cos(14°)=7.1×0.970=6.9

Substitute, 7.1 for b, 14° for θ in equation (II) to find the y component of b.

  by=(7.1)sin(14°)=7.1×0.24=1.7

Hence the vector representation of b is.

  b=bxi^+byj^=6.9i^+1.7j^

Conclusion:

Therefore, the x and y components of b are 6.9 and 1.7 respectively.

(b)

To determine

The magnitude and direction of c.

(b)

Expert Solution
Check Mark

Answer to Problem 26P

The magnitude of c is 6.94_ and direction of c 74.9°_.

Explanation of Solution

The x component of c is 1.8, and y component of c is 6.7.

Write the vector expression for c.

  c=cxi^+cyj^        (III)

Here, cx is the x component of c, and cy is the y component of c.

Write the equation to find the magnitude of c.

  c=cx2+cy2        (IV)

Write the expression for the direction of c.

  θ=tan1(cycx)        (V)

Conclusion:

Substitute, 1.8 for cx, and 6.7 for cy in equation (IV) to find the magnitude of c.

  c=(1.8)2+(6.7)2=6.94

Substitute, 1.8 for cx, and 6.7 for cy in equation (V) to find the direction of c.

  θ=tan1(6.71.8)=74.9°

Therefore, the magnitude of c is 6.94_ and direction of c 74.9°_.

(c)

To determine

The magnitude and direction of c+b.

(c)

Expert Solution
Check Mark

Answer to Problem 26P

The magnitude of c+b is 7.14_, and direction of c+b is .

Explanation of Solution

Let the sum of vector c and b be vector a.

Write the vector expression for a.

  a=c+baxi^+ayj^=(cxi^+cyj^)+(bxi^+byj^)        (VI)

Write the expression for finding the magnitude of a.

  a=ax2+ay2        (VII)

Write the expression for finding the direction of a.

  θ=tan1(ayax)        (VIII)

Conclusion:

Substitute, 6.9 for bx, 1.7 for by, 1.8 for cx, and 6.7 for cy in equation (VI).

  axi^+ayj^=(1.8i^+6.7yj^)+(6.9i^+1.7j^)=5.1i^5j^        (IX)

Substitute, 5.1 for ax, and 5 for ay in equation (VII) to find the magnitude of a.

  a=(5.1)2+(5)2=7.14

Substitute, 5.1 for ax, and 5 for ay in equation (VIII) to find the direction of a.

  θ=tan1(55.1)=

Therefore, the magnitude of c+b is 7.14_, and direction of c+b is .

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Chapter 2 Solutions

COLLEGE PHYSICS-CONNECT ACCESS

Ch. 2.4 - Prob. 2.7PPCh. 2.4 - Prob. 2.8PPCh. 2.5 - Prob. 2.9PPCh. 2.5 - Prob. 2.5CPCh. 2.6 - Prob. 2.10PPCh. 2.6 - What would those figs weigh on the surface of the...Ch. 2.6 - Prob. 2.6CPCh. 2.7 - Your laptop is resting on the surface of your...Ch. 2.7 - Suppose the same chest is at rest. You push to the...Ch. 2.7 - Prob. 2.13PPCh. 2.7 - During the seventh-inning stretch of a baseball...Ch. 2.8 - Prob. 2.15PPCh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - An American visitor to Finland is surprised to see...Ch. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 16CQCh. 2 - Prob. 17CQCh. 2 - Prob. 18CQCh. 2 - Prob. 19CQCh. 2 - Prob. 20CQCh. 2 - Prob. 21CQCh. 2 - Prob. 23CQCh. 2 - Prob. 24CQCh. 2 - Prob. 25CQCh. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - Prob. 31CQCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Which vector sum is not equal to zero? Ch. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Questions 15–18. For each situation, how does the...Ch. 2 - Prob. 18MCQCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Rank the vectors , and in order of increasing...Ch. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - A man is lazily floating on an air mattress in a...Ch. 2 - Prob. 30PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - A hummingbird is hovering motionless beside a...Ch. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - An astronaut stands at a position on the Moon such...Ch. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - A box sits on a horizontal wooden ramp. The...Ch. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69PCh. 2 - Prob. 70PCh. 2 - Prob. 71PCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - You want to hang a 15 N picture as in the figure...Ch. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - The coefficient of static friction between block A...Ch. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109PCh. 2 - Prob. 110PCh. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Prob. 117PCh. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - Prob. 120PCh. 2 - Prob. 121PCh. 2 - Prob. 122PCh. 2 - Prob. 123P
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