Question

A rope of length $10m$ and linear density $0.5kg/m$ is lying length wise on a smooth horizontal floor. It is pulled by a force of $25N$. The tension in the rope at a point $6m$ away from the point of application is

• A. $20N$
• B. $15N$
• C. $10N$
• D. $5N$

Answer 1

The correct option is C $10N$

Here total mass of the rope, $m=10\times 0.5=5kg$

Acceleration of the rope, $a=\frac{25}{5}=5m/s^2$

The mass of remaining rope $(10-6=4m)$ is $m_r=4\times 0.5=2kg$

The tension will be $T=m_{r}a=5\times 2=10N$