/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 77 Work聽Find the work done by a fo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 77 (page 622)

Work

Find the work done by a force of 3newtons acting in the direction 2i+j+2kin moving an object 2 meters fromrole="math" localid="1646804269936" (0,0,0) to(0,2,0).

Short Answer

Expert verified

Work done by force is2Nm

Step by step solution

01

Step 1. given information

A force of three newton and direction as 2i+j+2kgiven from(0,0,0)to(0,2,0)

02

Step 2. Finding force vector

First we need to find the vector of force as,

F鈫�=F.u^

Where Fis magnitude and u^is the unit vector given by u^=u鈫�u

role="math" localid="1646804766961" u=22+12+22=9=3

Therefore,

F鈫�=323i+13j+23k

03

Step 3. Finding work

Now take dot product of force vector and distance vector,

W=F路AB鈫�鈬�AB鈫�=2j=323i+13j+23k路2j=323i+13j+23k路(0i+2j+0k)=2Nm

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems55鈥�66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

3,0

Match the graph with the polar equation

rsin胃=2

Rose curves are characterized by equations of the formr=acosn胃orr=asinn胃,a鈮�0.If n鈮�0is even, the rose has _____ petals; if n鈮�卤1is odd, the rose has ______ petals.

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=3cos2胃

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

r=2
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.