Question

A rigid body is acted upon by a horizontal variable force which is inversely proportional to the distance covered from its initial position's'. The work done by this forcewill be

• A. s
• B. $s^2$
• C. $\sqrt{s}$
• D. None of these

Answer 1

The correct option is D None of these

$F=\frac{k}{s}$

work done is given by $dw=F.ds$

$=>dw=\frac{k}{s}.ds$

integrating both sides we get $w=k$ $lnx$.

so none of the option match with this, so the answer is option D.