The system of two masses $2 \ kg$ and $3 \ kg$ as shown in the figure is released from rest. The work done on the $3 \ kg$ block by the force of gravity during the first $2 \ s$ of its motion is $\left(g=10 \ m/s^2\right)$. (in $J$)

$A$ block of mass $1\,kg$ is suspended by a string of mass $1\,kg$ and length $1\,m$ as shown in the figure. Given $g = 10\,m/s^2$,calculate the tension in the string at its mid-point. (in $,N$)

In the arrangement shown,the pulleys are fixed and ideal,the strings are light,$m_1 > m_2$ and $S$ is a spring balance which is itself massless. The reading of $S$ (in units of mass) is

Two identical blocks each of mass $M$ are attached to the ends of a massless inextensible string which passes over a pulley with a fixed axis as shown below. $A$ small mass $m$ is now placed on block $B$ (the right block). The acceleration with which the two blocks move together is ($g =$ gravitational acceleration).

If $m_1 = 4m_2$ and the acceleration of $m_1$ is $a$,find the tension $T$ in the string.

$A$ light string passes over a frictionless pulley. To one of its ends a mass of $6\, kg$ is attached. To its other end a mass of $10\, kg$ is attached. The tension in the thread will be ........ $N$.