Two identical balls $P$ and $Q$ moving in the $x-y$ plane collide at the origin $(x=0,y=0)$ of the coordinate system. Their velocity components just before the moment of impact were, for ball $P$, $v_x=6\ m/s$, $v_y=0$; for ball $Q$, $v_x=-5\ m/s$, $v_y=2\ m/s$. As a result of the collision, the ball $P$ comes to rest. The velocity components of the ball $Q$ just after collision will be

A particle of mass $m$ moving with velocity $\left( {3\hat i + 2\hat j} \right)\,m/s,$ collides with another body of mass $M$ and finally moves with velocity $\left( {-2\hat i + \hat j} \right)\,m/s,$ then during the collision

A stream of glass beads, each with a mass of $15\  gram$, comes out of a horizontal tube at a rate of $100\  per second$. The beads fall a distance of $5\  m$ to a balance pan and bounce back to their original height. How much mass(in $kg$) must be placed in the other pan of the balance to keep the pointer at zero?

Two equal masses ${m_1}$ and ${m_2}$ moving along the same straight line with velocities $+ 3 \,m/s$ and $-5\, m/s$ respectively collide elastically. Their velocities after the collision will be respectively

Two persons $A$ & $B$ are throwing ball of $200\  g$ on wall as shown in figure. Balls strike wall perpendicularly at same point height $2\ m$ from ground. Ball strike wall elastically at same time and returns back to $A$ & $B$, at same time. They again repeat the same. What is the average force on wall ..................... $\mathrm{N}$ (take $g = 10\  m/s^2$)

As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other ball $Q$ of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball $Q$ after collision will be $............\,m/s$ $:\left( g =10\,m / s ^2\right)$