In figure shown, both blocks are released from rest. The time to cross each other is

If masses are released from the position shown in figure then time elapsed before mass $m_1$ collides with the floor will be:

Same spring is attached with $2 \mathrm{kg}, 3 \mathrm{kg}$ and $1 \mathrm{kg}$ blocks in three different case as shown in figure. If $x_1, x_2$ and $x_3$ be the extension in the spring in these three case then

A block $A$ of mass $m$ is placed over a plank $B$ of mass $2 \mathrm{m}$. Plank $B$ is placed over a smooth horizontal surface. The coefficient of friction between $A$ and $B$ is $0.5$. Block $A$ is given a velocity $v_0$ towards right. Acceleration of $B$ relative to $A$ is

Block $A$ of mass $m$ is placed over a wedge $B$ of same mass  $\mathrm{m}$. Assuming all surface to be smooth. The displacement of block $A$ in $1 \mathrm{s}$ if the system is released from rest is

A man of mass $50 \mathrm{kg}$ is pulling on a plank of mass $100 \mathrm{kg}$ kept on a smooth floor as shown with force of $100 \mathrm{N}$. both man & plank move together, find force of friction acting on man.

In the following arrangement the system is initially at rest. The $5 \mathrm{kg}$ block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is

Two blocks $A$ and $B$ of equal mass $m$ are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest then,