Answer: Section 3.3 Coordinate Systems and Vector

Chapter 3, Problem 7E

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QUESTION:

Draw each of the following vectors, then find its \(x\) - and \(y\)-components.

a. \(\vec{r}=(10 \mathrm{~m} / \mathrm{s}\), negative \(y\)-direction)

b. \(\vec{a}=\left(20 \mathrm{~m} / \mathrm{s}^{2}, 30^{\circ}\right\) below positive \(x\)-axis)

c. \(\vec{F}=\left(100 N, 36.9^{\circ}\right.\) counterclockwise from positive \(y\)-axis)

Equation Transcription:

Text Transcription:

x- and y-components

^vec r=(10m/s, negative y-direction)

^vec a=(20 m/s^2, 30^circ below positive x-axis

^vec F=(100 N, 36.9^circ counterclockwise from postive y-axis

Questions & Answers

QUESTION:

Draw each of the following vectors, then find its \(x\) - and \(y\)-components.

a. \(\vec{r}=(10 \mathrm{~m} / \mathrm{s}\), negative \(y\)-direction)

b. \(\vec{a}=\left(20 \mathrm{~m} / \mathrm{s}^{2}, 30^{\circ}\right\) below positive \(x\)-axis)

c. \(\vec{F}=\left(100 N, 36.9^{\circ}\right.\) counterclockwise from positive \(y\)-axis)

Equation Transcription:

Text Transcription:

x- and y-components

^vec r=(10m/s, negative y-direction)

^vec a=(20 m/s^2, 30^circ below positive x-axis

^vec F=(100 N, 36.9^circ counterclockwise from postive y-axis

ANSWER:

Step 1 of 4

a.)

We have to draw the vector \(\vec{v}\) and find its \(x\) and \(y\) components.

                                                \(\vec{v}=(10 \mathrm{~m} / \mathrm{s}\), negative \(y\) direction

 

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