Two objects are initially at rest on a frictionless surface. Object $1$ has a greater mass than object $2$. The same constant force starts to act on each object. The force is removed from each object after it accelerates over a distance $d$. After the force is removed from both objects, which statement is correct ($p:$ momentum;$K:$ kinetic energy)?

A bead is connected at one end of an inextensible massless string whose other end is fixed to a fixed cylinder. Cylinder does not rotate. The bead can move on a horizontal smooth surface. The bead is given a velocity $v_0$ perpendicular to the string. The bead moves on a curve and consequently collides on the cylinder after sometime. Then, before it collides 

A block is suspended by a spring initially in natural length ${\ell }_2$. Take initial position of block as zero reference level for gravitational potential energy of block. The block is released from rest at its initial position. Now as the block comes down till the maximum downward displacement of the block for the first time, the sum of the elastic potential energy of the spring and the gravitational potential energy of the block 

The blocks $A$ and $B$ shown in the figure have masses $M_{\mathrm{A}}=5 \mathrm{kg}$ and $M_{\mathrm{B}}=4 \mathrm{kg}$. The system is released from rest. The speed of $B$ after $A$ has travelled a distance $1 \mathrm{m}$ along the incline is

Find velocity of $A$ in the figure after it has started from rest at $t=0$ in the position shown and travelled $9 \mathrm{m}$ along the frictionless surface. $M_{\mathrm{A}} \& M_{\mathrm{B}}$ are $300 \mathrm{kg} \& 200 \mathrm{kg}$, respectively (take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$).