## Related questions with answers

Can the normal force on an object ever do work? Explain.

Solutions

VerifiedThis is true. The normal force is the perpendicular force to the surface on which the object rest.

As we know the normal force of an object is given by

$\begin{align*} F_{\text{N}} = m\,g\tag{1} \end{align*}$

If the object lying on an inclined plane with an angle $\phi$ then the normal force will be

$\begin{align*} F_{\text{N}} = m\,g\,\cos\phi\tag{2} \end{align*}$

The work done by the normal force is given by

$\begin{align*} W_{\text{N}} & = \vec{F}_{\text{N}}.\vec{d}\\ & = F_{\text{N}} \,d\,\cos\theta\\ & = m\,g\,d\,\cos\theta\tag{3} \end{align*}$

Where $\theta$ is the angle between $F_{\text{N}}$ and $d$.

If the the direction of $F_{\text{N}}$ and $d$ is same then the normal force will do work.

For example, when we move up a floor, then normal force will work on us.

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