Chapter 3: Q. 8 (page 77)

Let $\overset{鈫�}{C} = (3.15 m, 15^{鈭�} a b o v e t h e n e g a t i v e x - a x i s)$ and $\overset{鈫�}{D} = (25.6 m, 30^{鈭�} t o t h e r i g h t o f t h e n e g a t i v e y - a x i s) .$ Find the $x$ - and $y$ -components of each vector.

Short Answer

Expert verified

$C_{x} = - 3.04 m a n d C_{y} = 0.84 m .$

$D_{x} = 6.62 m a n d D_{y} = - 24.7 m .$ cc

Step by step solution

Step 1. Given informationff

It is given that $\overset{鈫�}{C} = (3.15 m, 15^{鈭�} a b o v e t h e n e g a t i v e x - a x i s)$ and $\overset{鈫�}{D} = (25.6 m, 30^{鈭�} t o t h e r i g h t o f t h e n e g a t i v e y - a x i s) .$ We need to determine the $x$ and $y$ components of each vector.

Step 2. Calculation

$\overset{鈫�}{C} = {\overset{鈫�}{C}}_{x} + {\overset{鈫�}{C}}_{y} .$

localid="1649188793381" ${\overset{鈫�}{C}}_{x} = C \cos 15^{鈭�} .$

$= (- 3.15) 脳 0.966 .$

$= - 3.04 m .$

${\overset{鈫�}{C}}_{y} = C \sin 15^{鈭�} .$

$= (3.15) 脳 0.26 .$

$= 0.84 m .$

$\overset{鈫�}{D} = {\overset{鈫�}{D}}_{x} + {\overset{鈫�}{D}}_{y} .$

localid="1651829724481" ${\overset{鈫�}{D}}_{x} = D \sin 30^{鈭�}$

localid="1651829785442" $= (25.6) 脳 \sin 30^{鈭�}$

localid="1651829836541" $= 12.8 m .$

${\overset{鈫�}{D}}_{y} = D \cos 15^{鈭�} .$

localid="1651829797670" $= (- 25.6) 脳 \cos 30^{鈭�}$

localid="1651829818366" $= - 22.17 m .$

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91影视

Let $\overset{鈫�}{C} = (3.15 m, 15^{鈭�} a b o v e t h e n e g a t i v e x - a x i s)$ and $\overset{鈫�}{D} = (25.6 m, 30^{鈭�} t o t h e r i g h t o f t h e n e g a t i v e y - a x i s) .$ Find the $x$ - and $y$ -components of each vector.

Short Answer

Step by step solution

Step 1. Given informationff

Step 2. Calculation

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91影视

Let C鈫�=3.15m,15鈭�abovethenegativex-axisand D鈫�=25.6m,30鈭�totherightofthenegativey-axis. Find the x- and y-components of each vector.

Short Answer

Step by step solution

Step 1. Given informationff

Step 2. Calculation

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Most popular questions from this chapter

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Astrophysics

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Let $\overset{鈫�}{C} = (3.15 m, 15^{鈭�} a b o v e t h e n e g a t i v e x - a x i s)$ and $\overset{鈫�}{D} = (25.6 m, 30^{鈭�} t o t h e r i g h t o f t h e n e g a t i v e y - a x i s) .$ Find the $x$ - and $y$ -components of each vector.