Question

To verify the relation between force, displacement and the resultant work done, graphically and theoretically​

Answer 1

Answer:

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Answer 2

Verification of expression of work done both graphically and theoritically .

• In this kind of derivations , we need to apply WORK-ENERGY THEOREM.

• The net work done by all the forces will be equal to the change in kinetic energy of the object.

$\therefore \: W_{force} = \Delta KE$

$\implies\: W_{force} = \dfrac{1}{2} m {v}^{2} - 0$

$\implies\: W_{force} = \dfrac{1}{2} m {v}^{2}$

$\implies\: W_{force} = \dfrac{1}{2} m( {u}^{2} + 2as)$

$\implies\: W_{force} = \dfrac{1}{2} m( {0}^{2} + 2as)$

$\implies\: W_{force} = \dfrac{1}{2} m( 2as)$

$\implies\: W_{force} = m \times a \times s$

$\implies\: W_{force} = (m \times a) \times s$

$\implies\: W_{force} = F\times s$

[Hence Verified]

• Graphical method in diagram.