A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by x, then work done by the force will be proportional to:

Question

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

Tardigrade Admin · Accepted Answer

Given F propto x ⇒ F=k x, W=∫ k x d x=(k x2/2)

Q. A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by $x$ , then work done by the force will be proportional to:

x

$x^{2}$

$x^{3/2}$

none of these

Given $F \propto x \Rightarrow F = k x,$
$W = \int k x d x = \frac{k x ^{2}}{2}$

Q. A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by x, then work done by the force will be proportional to:

x

x2

x3/2

none of these

Given F∝x⇒F=kx, W=∫kxdx=2kx2​

Q. A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by $x$ , then work done by the force will be proportional to:

$x^{2}$

$x^{3/2}$

Given $F \propto x \Rightarrow F = k x,$
$W = \int k x d x = \frac{k x ^{2}}{2}$