Question

A rubber develops a force $F=(-2x+1)N$, (Where $x$ is the extension in its natural length in $m$). Work done by the force when rubber is stretched from $x=0$ to $x=1m$ is :

• A. $4J$
• B. $8J$
• C. $Zero$
• D. $10J$

Answer 1

Answer: (C)

$Zero$

Given,

$F=(-2x+1)N$

Work done by the force when rubber is stretched from $x=0$ to $x=1m$

$W=\int F.dx$

$W=\int (-2x+1)dx$

$W=-1+1=0J$

The correct option is C.