A body is acted upon by a force which is inversely proportional to the distance x. The work done will be proportional to:

Question

A body is acted upon by a force which is inversely proportional to the distance x. The work done will be proportional to: (A) x (B) x2 (C) x3/2 (D) none of these

Tardigrade Admin · Accepted Answer

Given F propto (1/x) ⇒ F =(k/x), W=∫ (k/x) d x= ln x+c

Q. A body is acted upon by a force which is inversely proportional to the distance $x$ . The work done will be proportional to:

x

$x^{2}$

$x^{3/2}$

none of these

Given $F \propto \frac{1}{x} \Rightarrow F$
$= \frac{k}{x}, W = \int \frac{k}{x} d x = ln x + c$

Q. A body is acted upon by a force which is inversely proportional to the distance x. The work done will be proportional to:

x

x2

x3/2

none of these

Given F∝x1​⇒F =xk​,W=∫xk​dx=lnx+c

Q. A body is acted upon by a force which is inversely proportional to the distance $x$ . The work done will be proportional to:

$x^{2}$

$x^{3/2}$

Given $F \propto \frac{1}{x} \Rightarrow F$
$= \frac{k}{x}, W = \int \frac{k}{x} d x = ln x + c$