Question

Two blocks of equal mass $m$ are tied to each other through a light string. One of the blocks is pulled along the line joining them with a constant force $F$. Find the tension in the string joining the blocks.

Answer 1

Force is given as

$F=ma$

Since both the body have same mass

$F=2ma$

Hence the acceleration is

$a=\frac{F}{2m}$

The tension for the masses moving with same acceleration is

$T=ma$

$T=m\times \frac{F}{2m}$

$T=\frac{F}{2}$