List of top Physics Questions on tension asked in AMUEEE

Two bodies $A$ and $B$ of masses $10 \,kg$ and $15\, kg$ respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force $F=500 \,N$ is applied to $A$ (as shown in figure $1$) and $T$ be the tension when it is applied to $B$ (figure $2$), then which of the following is true?

A $10\, kg$ stone is suspended with a rope of breaking strength $30 \,kg - wt$. The minimum time in which the stone can be raised through a height $10\, m$ starting from rest is (Taking $g =10 \,N\,kg ^{-1}$ )