Question

A person lifts a package weighing 75 N. If she lifts it 1.2 m off the floor, what work has she done?

Answer 1

$\color{darkblue}\underline{\underline{\sf Given-}}$

• Force applied by her (F) = 75N
• Displacement (d) = 1.2m

$\color{darkblue}\underline{\underline{\sf To\: Find-}}$

• Work done by her (W)

➩ Work Done

Work done by a force is equal to scalar product of force applied and displacement of the point of application.

$\bullet$ It is scalar quantity

$\color{darkblue}\blacksquare\boxed{W=\overrightarrow{F}.\overrightarrow{d}}$.

$\implies{\sf W=75×1.2}$

$\color{red}\implies{\sf W=90N}$

$\color{darkblue}\underline{\underline{\sf Answer-}}$

Work done by her is $\color{red}{\sf 90N}$

Answer 2

$\huge \mathtt{ \fbox{Solution :)}}$

Given ,

Force (f) = 75 N

Distance (d) = 1.2 m

We know that , work is defined as the cross product of force and displacement

$\large \mathtt{\fbox{Work = force \times displacement }}$

Thus ,

Work = 75 × 1.2

Work = 90 joule

Hence , the work done is 90 joule

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