Question

In a tug of war each of the two teams apply $1000N$ force at the ends of a rope, which is found to be in equilibrium, the tension in the rope is:

• A. $2000N$
• B. $1000N$
• C. $500N$
• D. $0N$

Answer 1

Answer: (B)

$1000N$

Let us take the system as the whole rope.Since tension becomes an internal force now,$1000N$ forces on both sides of the rope balances each other.We dont have to analyse the tension forces,as it is an intternal force for the above case.

Now,cut the rope into two halves,and let the tension $T$ be there,which one half applies on the other half.

This $T$ has to be equal to $1000N$ for the rope to be in equilibrium.

Hence,the tension in the rope is equal to $1000N$.