Question

A rope of length 5m and mass 5kg is kept on frictionless surface and a force of 5N is applied to one of its end. Find tension in the rope at 1m from this end.

• A. 1 N
• B. 3 N
• C. 4 N
• D. 5 N

Answer 1

, The correct option is (C)

As we know

$a=\frac{F}{M}$

$a=\frac{5}{5}=1\frac{m}{se{c}^2}$

Therefore each part of the rope must be moving with the same acceleration, i.e.

$a=1\frac{m}{se{c}^2}$

$tensionatpointp$

$T_{net}=massoftheremainingpart\times acceleration$

$T_{net}=massof4mlengthofrope\times acceleration$

$T_{net}=4\times 1\Rightarrow T=4N$