logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  TN XII Math  >>  Vector Algebra
0 votes

Find the work done by the force $f=\overrightarrow{2i} + \overrightarrow{j}+\overrightarrow{k}$ acting on particle, if the particle is displaced from the point with position vector $\overrightarrow{2i}+ \overrightarrow{2j}+ \overrightarrow{2k}$ to the point with the position vector $\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{5k}$ .

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • The work done by a force $ \overrightarrow F$ in displacing a particle through $ \overrightarrow d$ is $ \overrightarrow F.\overrightarrow d = |\overrightarrow F| $ ( displacement in the direction of $ \overrightarrow F$)
The particle is displaced from $ A ( O\overrightarrow A=2\overrightarrow i+2\overrightarrow j+2\overrightarrow k) \: to \: B(O\overrightarrow B = 3\overrightarrow i+4\overrightarrow j+5\overrightarrow k)$ by the force $\overrightarrow F = 2\overrightarrow i+\overrightarrow j+\overrightarrow k.$ The displacement is $ \overrightarrow {AB} = \overrightarrow d=\overrightarrow {OB}-\overrightarrow {OA}=\overrightarrow i+2\overrightarrow j+3\overrightarrow k$
The work done by $ \overrightarrow F, \: w = \overrightarrow F.\overrightarrow d = (2\overrightarrow i+\overrightarrow j+\overrightarrow k).(\overrightarrow i+2\overrightarrow j+3\overrightarrow k)$
$ = (2)(1)+(1)(2)+(1)(3)$
$ = 2+2+3 = 7$ units.
answered Jun 4, 2013 by thanvigandhi_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...