Work Energy And Power Question 219

Question: The work done by a force $ \vec{F}=( -6x^{3}\hat{i} )N, $ in displacing a particle from $ x=4mtox=-2 $ m is

Options:

A) $ 360J $

B) $ 240J $

C) $ -240J $

D) $ -360J $

Show Answer

Answer:

Correct Answer: A

Solution:

[a]

w=$ \int \limits x_1^{x_2}{Fdx} $

=$\int \limits _4^{-2}{-6x^{3}dx} $

$ =-6{{| \frac{x^{4}}{4} |}^{-2}}_4=\frac{-6}{4}[ {{( -2 )}^{4}}-{{( 4 )}^{2}} ]=360J. $



NCERT Chapter Video Solution

Dual Pane