Question

A box is placed on three different surface a marble floor a card board sheet and a sand paper the minimum forces required two move the box on the surface are fm fc and fs

Answer 1

Given:

A box is placed on three different surfaces: a marble floor a card board sheet and a sand paper the minimum forces required two move the box on the surface are f_(m) , f_(c) and f_(s).

To find:

Relation between the forces.

Calculation:

General formula for critical force required to move a box is equal to the static- limiting friction.

$\boxed{ \sf{F = f = \mu(normal \: reaction)}}$

For constant normal reaction ;

$\boxed{ \sf{F \: \propto \: \mu}}$

So, $\mu$ for the surfaces can be written in descending order as :

Sand Paper > Cardboard > Marble

So, the relation between the forces will be:

$\boxed{ \sf{ \large{ \red{f_{s} > f_{c} > f_{m}}}}}$