The coefficient of friction between $4kg$ and $5\, kg$ blocks is $0.2$ and between $5kg$ block and ground is $0.1$ respectively. Choose the correct statements

Shown in the diagram is a system of two bodies, a block of mass $m$ and a disc of mass $4\ m$ , held in equilibrium. If the string $3$ is burnt, find the acceleration of the disc. Neglect the masses of the pulleys $P$ and $Q$ . The co-efficient of friction between the block and horizontal surface is $0.5$ and friction between disc and string is zero …….. $m/s^2$

The blocks are given velocity in the direction shown in figure. Co-efficient of friction between two blocks shown in figure is $μ = 0.5$. Take $g = 10\  m/s^2$

(considering $4\ kg$ block doesn't fall on ground)

Consider the following statements

$(i)$  Time when relative motion between them is stopped is $1.4\  second$.

$(ii)$  Time when relative motion between them is stopped in $1.2\  second$

$(iii)$  The common velocity of the two blocks is $8\  m/s$, towards right.

$(iv)$  The displacement of the $4\, kg$ block when relative motion stopped is$10.8\  m$.

Which of the fstatements is/are correct

Two blocks $( m =0.5\, kg$ and $M =4.5\, kg$ ) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is $\frac{3}{7} .$ Then the maximum horizontal force that can be applied on the larger block so that the blocks move together is ……… $N.$ (Round off to the Nearest Integer) [Take g as $9.8\, ms ^{-2}$ ]

If acceleration of $A$ is $2 \,m / s ^2$ which is smaller than acceleration of $B$ then the value of frictional force applied by $B$ on $A$ is ……… $N$