College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
111(E,F
![**Homework 02: 1D Kinematics and Vectors**
**Item 11**
---
**Part E**
Find the x-component of \(\vec{r} = (11 \text{ m}, 55^\circ \text{ above the positive } x\text{-axis})\).
Express your answer with the appropriate units.
**Input Box:**
\[
r_x = \_\_\_\_\_ \text{ Value } \_\_\_\_\_\ \text{ Units }
\]
**Buttons:**
- Submit
- Request Answer
---
**Part F**
Find the y-component of \(\vec{r} = (11 \text{ m}, 55^\circ \text{ above the positive } x\text{-axis})\).
Express your answer with the appropriate units.
**Input Box:**
\[
r_y = \_\_\_\_\_ \text{ Value } \_\_\_\_\_\ \text{ Units }
\]
**Buttons:**
- Submit
- Request Answer
---
**Provide Feedback**
---
**Copyright © 2023 Pearson Education Inc. All rights reserved.**
---
### Explanation
**Description:**
This problem involves breaking down a vector into its components. The vector \(\vec{r}\) has a magnitude of 11 meters and is directed 55 degrees above the positive x-axis. The task is to find the x and y components of this vector and provide the answers with the appropriate units.
**Mathematical Approach:**
- To find the x-component (\(r_x\)):
- Use the cosine function: \( r_x = r \cos(\theta) \)
- To find the y-component (\(r_y\)):
- Use the sine function: \( r_y = r \sin(\theta) \)
Here, \( r = 11 \) meters and \(\theta = 55^\circ\). Perform the calculations to find the values in meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a5bf8ad-4965-4e63-b21c-5c2ad3e92a8d%2F6d762ffb-29d4-42fd-9dd9-23623806baa5%2F2hw3bse_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Homework 02: 1D Kinematics and Vectors**
**Item 11**
---
**Part E**
Find the x-component of \(\vec{r} = (11 \text{ m}, 55^\circ \text{ above the positive } x\text{-axis})\).
Express your answer with the appropriate units.
**Input Box:**
\[
r_x = \_\_\_\_\_ \text{ Value } \_\_\_\_\_\ \text{ Units }
\]
**Buttons:**
- Submit
- Request Answer
---
**Part F**
Find the y-component of \(\vec{r} = (11 \text{ m}, 55^\circ \text{ above the positive } x\text{-axis})\).
Express your answer with the appropriate units.
**Input Box:**
\[
r_y = \_\_\_\_\_ \text{ Value } \_\_\_\_\_\ \text{ Units }
\]
**Buttons:**
- Submit
- Request Answer
---
**Provide Feedback**
---
**Copyright © 2023 Pearson Education Inc. All rights reserved.**
---
### Explanation
**Description:**
This problem involves breaking down a vector into its components. The vector \(\vec{r}\) has a magnitude of 11 meters and is directed 55 degrees above the positive x-axis. The task is to find the x and y components of this vector and provide the answers with the appropriate units.
**Mathematical Approach:**
- To find the x-component (\(r_x\)):
- Use the cosine function: \( r_x = r \cos(\theta) \)
- To find the y-component (\(r_y\)):
- Use the sine function: \( r_y = r \sin(\theta) \)
Here, \( r = 11 \) meters and \(\theta = 55^\circ\). Perform the calculations to find the values in meters.
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