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

Figure shows two blocks connected by a light inextensible string as shown in figure. A force of $10 \,N$ is applied on the bigger block at $60^{\circ}$ with horizontal, then the tension in the string connecting the two masses is ....... $N$

In the given arrangement all surfaces are smooth. What acceleration should be given to the system, for which the block $m_2$ doesn't slide down?

A horizontal force $10 \mathrm{~N}$ is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are $2 \mathrm{~kg}$ and $3 \mathrm{~kg}$ respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is :

Three blocks, $A, B$ and $C,$ of masses $4\,kg, 2\,kg$ and $1\,kg$ respectively, are in contact on a frictionless surface, as shown. If a force of $14\,\,N$ is applied on the $4\,\,kg$  block, then the contact force between $A$ and $B$  is ....... $N$

Three blocks are connected as shown in figure on a horizontal frictionless table. If $m_1 =  1kg, m_2 = 8kg, m_3 = 27\, kg$ and $T_3 = 36N, T_2$ will be ............ $N$