Question

A block is acted upon by a force, which is inversely proportional to the displacement $x$. The work done will be proportional to

• A. $x$
• B. $x^{1/2}$
• C. $x^2$
• D. none of these

Answer 1

The correct option is D none of these

Given, $F=\frac{a}{x}$ where a is a constant
$dW=\overrightarrow{F}\cdot \overrightarrow{ds}=\frac{a}{x}dx$
$\therefore W={\int }^{}\frac{a}{x}dx=a\ln x$