Question

Hello! Please explain how to solve this step-by-step.

Thanks :)​

Answer 1

$\large{\bold{\underline{Question - \: }}}$

For the force displacement graph shown below calculate the work done by a force in displacing the body from x = 1 cm to x = 5 cm

$\large{\bold{\underline{Answer - \: }}}$

• We have given a work displacement graph and work done is the area of the force displacement graph .

• We need to find the work done from x = 1 cm to x = 5 cm .

• [ Green shaded part is the positive area and the red shaded part is the negative area ] Attachment must be seen .

So , In the graph it is given that

1. 10 (dyne) force for first cm
2. 20 ( dyne ) force for second cm
3. 20 [ in negative ] ( dyne ) force for third cm
4. 10 ( dyne ) force for fourth cm

Now , work done will be ,

${{\sf : \implies{{w = 10 \times 1+ 20 \times 1 - 20 \times 1 + 10 \times 1}\: Dyne\: cm}}}$

${{\sf : \implies{{w = 10 \times 1+ \cancel{20} \times 1 - \cancel{20} \times 1 + 10 \times 1}\: Dyne\: cm}}}$

$:\implies\:\underline{\boxed{\bf{\gray{20 \: erg}}}}$