In the figure given below,with what acceleration will the block of mass $m$ move? (Pulley and strings are massless and frictionless)

In order to test the strength of a rope,one end is tied to a large tree and the other end is hitched to a team of $2$ horses. The horses pull as hard as they can,but cannot break the rope. If the rope is untied from the tree and attached to another team of $2$ horses with equal strength,and the two teams pull in opposite directions,the tension in the rope will

Two masses $2 \, kg$ and $3 \, kg$ are attached to the ends of a string passed over a pulley fixed at the top. The tension and acceleration are:

Three masses $m_1 = 4 \text{ kg}$, $m_2 = 4 \text{ kg}$, and $m_3 = 6 \text{ kg}$ are suspended from a fixed smooth frictionless pulley as shown in the figure. The value of $T_1/T_2$ is . . . . . . . (Take $g = 10 \text{ m/s}^2$)

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

$A$ monkey of mass $20\,kg$ is holding a vertical rope. The rope can break when a mass of $25\,kg$ is suspended from it. What is the maximum acceleration with which the monkey can climb up along the rope (in $,m/s^2$)?