finding work by integrals

Find the work done by the force F from (0,0,0) to (1,1,1) over the following path:

The path of the line segment from (0,0,0) to (1,1,0) followed by the line segment from (1,1,0) to (1,1,1) where the Force F=(1/(x^2+1))j

How do I set up this integral??

Please help me out if you know how!

Work done by variable force

Hello s7b Quote:

Originally Posted by

**s7b** Find the work done by the force F from (0,0,0) to (1,1,1) over the following path:

The path of the line segment from (0,0,0) to (1,1,0) followed by the line segment from (1,1,0) to (1,1,1) where the Force F=(1/(x^2+1))j

How do I set up this integral??

Please help me out if you know how!

The first line segment is in the plane ; the force is in the direction of the -axis, and it moves along the line in the plane from to . So as the point of application of the force moves from to work done = .

To find the work done, then, you'll need to evaluate , where

The second part of the movement is parallel to the -axis, and is therefore at right angles to the force. So it does a zero amount of work.

Grandad