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# Two persons pull a rope towards themselves.

Question:

Two persons pull a rope towards themselves. Each person exerts a force of $100 \mathrm{~N}$ on the rope. Find the Young's modulus of the material of the rope if it extends in length by $1 \mathrm{~cm}$. Original length of the rope $=2 \mathrm{~m}$ and the area of cross-section $=2 \mathrm{~cm}{ }^{2}$.

Solution: