Two balls $A$ and $B$ having masses $1\, kg$ and $2\, kg$, moving with speeds $21\, m/s$ and $4\, m/s$ respectively in opposite direction, collide head on. After collision Amoves with a speed of $1\,m/s$ in the same direction, then correct statements is :
The velocity of $B$ after collision is $6\,m/s$ opposite to its direction of motion before collision.
The coefficient of restitution is $0.2.$
The loss of kinetic energy due to collision is $200 J.$
All of the above
A big ball of mass $M$, moving with velocity $u$ strikes a small ball of mass $m$, which is at rest. Finally small ball obtains velocity $u$ and big ball $v$. Then what is the value of $v$
A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is $0.300\, kg$ and length is $2 \,m$ . Two particles each of mass $0.100\, kg$ are moving on the same surface and towards the two ends of the bar in the direction perpendicular to the bar such that one with velocity $10\, m/s$ towards one end and the other with velocity $5\, m/s$ towards the other end. If collision between particles and bar is completely elastic and both particles strike with the bar simultaneously. The velocity of centre of mass of the bar after the collision is ...... $m/s$
The force constant of a wire is $k$ and that of another wire is $2k$. When both the wires are stretched through same distance, then the work done
An unknown nucleus collides with a ${}^4He$ nucleus, and after the collision the two nuclei travel in perpendicular directions relative to each other. If kinetic energy is lost in the collision, the unknown nucleus must be
A ball of mass $200\,g$ rests on a vertical post of height $20\,m$. A bullet of mass $10\,g$, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $30\,m$ and the bullet at a distance of $120\,m$ from the foot of the post. The value of initial velocity of the bullet will be $............m/s$ (if $\left.g =10 m / s ^2\right)$