Question

In a game of tug of war, a condition of equilibrium exists. Both the teams pull the rope with a force of 10⁴ N. Find the tension in the rope.

• A. ${10}^{4}N$
• B. ${10}^{5}N$
• C. $0N$
• D. $2\times {10}^{4}N$

Answer 1

The correct option is A

${10}^{4}N$

1. An object is said to be in a state of equilibrium if all the forces acting upon the object are balanced i.e. vector sum of all the forces is zero.
2. Both teams pull the rope with an equal force of ${10}^{4}N$. So, the condition of equilibrium exists.
3. Thus, the forces applied by the team must be equal to the tension in rope.
4. Therefore, the tension in the rope will be ${10}^{4}N$.

Hence, if in a game of tug of war, the condition of equilibrium exists and both the teams pull the rope with a force of ${10}^{4}N$ then the tension in the rope will be ${10}^{4}N$. Thus, option (a) ${10}^{4}N$ is correct.