All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2 \mathrm{kg}$ is :

Three blocks $A, B$ and $C$ are pulled on a horizontal smooth surface by a force of $80 \mathrm{N}$ as shown in figure. The tensions $T_1 \text{and} T_2$ in the string are respectively:

In the given arrangement of a doubly inclined plane two blocks of masses $M$ and $m$ are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is $0.25$. The value of $m$, for which $M=10 \mathrm{kg}$ will move down with an acceleration of $2 \mathrm{m} {\mathrm{s}}^{-2}$, is : (take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$ and $\tan 37°=\frac{3}{4}$)

A light string passing over a smooth light fixed pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $\frac{g}{8}$, then the ratio of masses is

A block of mass $5 \mathrm{kg}$ is placed on a rough inclined surface as shown in the figure.

If ${\overrightarrow{F}}_1$ is the force required to just move the block up the inclined plane and ${\overrightarrow{F}}_2$ is the force required to just prevent the block from sliding down, then the value of $\left|{\overrightarrow{F}}_1\right|-\left|{\overrightarrow{F}}_2\right|$ is:

[Use $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]