Two blocks of masses $M_1$ and $M_2$ are connected to each other through a light spring as shown in figure. If we push mass $M_1$ with force $F$ and cause acceleration $a_1$ in mass $M_1$, what will be the magnitude of acceleration in $M_2$?

Three blocks of masses $2 \mathrm{kg}\text{,} 3 \mathrm{kg}$ and $5 \mathrm{kg}$ are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force, $F=10 \mathrm{N}$. Then the tension $T_1=$

Three masses connected by massless string as shown in figure are placed on a horizontal frictionless surface. Find tensions $T_1$ and $T_2$.

Three blocks of masses $m_4\text{,} m_2$ and $m_3$ are connected by massless strings as shown on a frictionless table. They are pulled with a force, $T_3=40 \mathrm{N}$. If $m_1=10 \mathrm{kg}\text{,}{ m}_2=6 \mathrm{kg}$ and $m_3=4{ \mathrm{kg}}_{\mathrm{s}}$, the tension $T_2$ will be,

The ratio of the weight of a man in a stationary lift & when it is moving downward with uniform acceleration $a$ is $3:2$ . The value of $a$ is ($g=$acceleration due to gravity)