Collision Examples I

Q. Two bodies of equal masses and speeds collide head-on elastically. Total momentum after collision is

1. non-zero
2. zero
3. can be zero or non-zero
4. insufficient data

Q. A body of mass $\left(4m\right)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $\left(m\right)$ move perpendicular to each other with equal speeds $\left(v\right)$. The total kinetic energy generated due to explosion is

1. $\frac{3}{2}m{v}^2$
2. $2m{v}^2$
3. $4m{v}^2$
4. $m{v}^2$

Q. After a totally inelastic collision, two objects of the same masses and same initial speeds are found to move together at half of their initial speeds as shown in figure below. If $\alpha ={30}^{\circ }$, then the angle between the initial velocities of the objects is

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${150}^{\circ }$
4. ${45}^{\circ }$