Homework Help is Here – Start Your Trial Now!
Science
Physics
24. Work Find the work done when F = 300i + 400j is applied to an object that moves along the vector D = 10i - 2j, where units are in pounds and feet. Find the magnitude of F and interpret the result.

24. Work Find the work done when F = 300i + 400j is applied to an object that moves along the vector D = 10i - 2j, where units are in pounds and feet. Find the magnitude of F and interpret the result.

College Physics
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)...
See similar textbooks
icon
Related questions
Topic Video
Question
100%

i need to know if i got this right my answer was 2200 and magnitude was 400 please explain if i got this wrong

**Exercise 24: Work Calculation** **Problem Statement:** Find the work done when a force \( \mathbf{F} = 300\mathbf{i} + 400\mathbf{j} \) is applied to an object that moves along the vector \( \mathbf{D} = 10\mathbf{i} - 2\mathbf{j} \), where the units are in pounds and feet. **Tasks:** 1. Calculate the work done. 2. Find the magnitude of the force \( \mathbf{F} \). 3. Interpret the result. **Analysis:** - **Work Done:** Calculate using the dot product of the force vector \( \mathbf{F} \) and the displacement vector \( \mathbf{D} \). - **Magnitude of \( \mathbf{F} \):** Found using the formula \( \sqrt{(300)^2 + (400)^2} \). Note: Ensure that the calculations adhere to the proper units and provide an explanation of the physical meaning of the results.
Transcribed Image Text:**Exercise 24: Work Calculation** **Problem Statement:** Find the work done when a force \( \mathbf{F} = 300\mathbf{i} + 400\mathbf{j} \) is applied to an object that moves along the vector \( \mathbf{D} = 10\mathbf{i} - 2\mathbf{j} \), where the units are in pounds and feet. **Tasks:** 1. Calculate the work done. 2. Find the magnitude of the force \( \mathbf{F} \). 3. Interpret the result. **Analysis:** - **Work Done:** Calculate using the dot product of the force vector \( \mathbf{F} \) and the displacement vector \( \mathbf{D} \). - **Magnitude of \( \mathbf{F} \):** Found using the formula \( \sqrt{(300)^2 + (400)^2} \). Note: Ensure that the calculations adhere to the proper units and provide an explanation of the physical meaning of the results.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mechanical Work done
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS