Six identical balls are lined in a straight groove made on a horizontal frictionless surface. Two similar balls each moving with a velocity $v$ collide elastically with the row of $6\, balls$ from left. What will happen ?
One ball from the right rolls out with a speed $2\,v$ and the remaining balls will remain at rest
Two balls from the right rolls out with speed $v$ each and the remaining balls will remain stationary
All the six balls in the row will roll out with speed $v/6$ each and the two colliding balls will come to rest
The colliding balls will come to rest and no ball rolls out from right.
A ball falls from a height of $5\,m$ and strikes the roof of a lift. If at the time of collision, lift is moving in the upward direction with a velocity of $1\,m/s$, then the velocity with which the ball rebounds after collision will be $-(e = 1)$
A large block of wood of mass $M =5.99\, kg$ is hanging from two long massless cords. A bullet of mass $m =10\, g$ is fired into the block and gets embedded in it. The (block $+$ bullet) then swing upwards, their centre of mass rising a vertical distance $h =9.8\,cm$ before the (block $+$ bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is: (Take $g =9.8\, ms ^{-2}$ ) (in $m/s$)
$A$ particle moving with kinetic energy $= 3$ joule makes an elastic head on collision with a stationary particle which has twice its mass during the impact.
$A$ smooth sphere is moving on a horizontal surface with a velocity vector $(\,2\,\hat i + 2\,\hat j\,)$ $m/s$ immediately before it hit a vertical wall. The wall is parallel to vector $\hat j$ and coefficient of restitution between the sphere and the wall is $e = 1/2$ . The velocity of the sphere after it hits the wall is
A smooth sphere of mass $M$ moving with velocity $u$ directly collides elastically with another sphere of mass m at rest. After collision their final velocities are $V$ and $v$ respectively. The value of $v$ is