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  4. A body of mass m is slowly pulled up the hill by a force F which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/6f63b35b262b74662b2bf5e5021d98f2-.png />

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Q. A body of mass m is slowly pulled up the hill by a force $F$ which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force.
image

Work, Energy and Power

Solution:

$\Sigma W_{\text {net }}=\Delta K$
As particle is moving slowly, this means $\Delta K=0$
$W_{N}+W_{F}+W_{ mg }=\Delta K$
But $W_{N}=0$ as $\vec{N} \perp d \vec{r}$
$0 +W_{F}-m g h=0$
$W_{F}=m g h$