Amount of work in displacing a brick

[Delta2]

Can I say because the gravity is conservative in nature so its work depends only on the initial and final points not the path taken by the COM?

Yes . To be a little bit more accurate it depends only on the potential energy of the initial and final position. That's why @caz instructed you to find the potential energy.

 

[Frabjous]

As an exercise, write down an equation for the gravitational potential energy of the brick in your problem.
Hint: It involves a simple integral over the volume of the brick.
Hint2: How would you calculate the mass of the brick using a constant density and an integral? Think about why this works.

 

[rudransh verma]

To be a little bit more accurate it depends only on the potential energy of the initial and final position.

I mean since the work is conservative in nature so W12=-W21 where W12 is the work from traveling from point 1 to 2. And any path taken by the body results in same W since in conservative forces W does not depend on distance but displacement of the body.

 

[Delta2]

I mean since the work is conservative in nature so W12=-W21 where W12 is the work from traveling from point 1 to 2. And any path taken by the body results in same W since in conservative forces W does not depend on distance but displacement of the body.

Be a bit careful on how you express yourself, I don't think I have heard the term conservative work but rather i have heard work of conservative force.

Also in conservative forces the work doesn't depend on the path but on the initial and starting positions. This is a consequence of the gradient theorem of vector calculus.

 

[Frabjous]

Where is this problem from? If it is from a book, include the edition.

 

[rudransh verma]

Where is this problem from? If it is from a book, include the edition.

It’s a book you will never find. So stick to my postings in future. (Narayans AIEEE crash course vol.1)