Question

In the game of tug of wars, a condition of equilibrium exists. Both the teams pull the rope with a force of ${10}^{4}N$. The tension in the rope is

• A. $2\times {10}^{4}N$
• B. $0$
• C. ${10}^{4}N$
• D. None

Answer 1

The correct option is A $2\times {10}^{4}N$

Think of it as the rope being pulled after it was attached to a wall$,$

So$,$ you have

$F+T=0$

where$,$

$T$ being the tension on the rope$,$ and $F$ is the force exerted$.$

So$,$ $\left|T\right|={10}^{4}N$

Now$,$ this is just the tension on one part of the rope$.$ The other part also has the same magnitude of tension$.$

So$,$ total tension $T=2\times {10}^{4}N$

Hence,

option $\left(A\right)$ is correct answer.