A particle of mass $m_1$ and moving with velocity $v_1$ collides head on with another stationary particle of mass $m_2$elastically. If after the collision their velocities are $v_1$ and $v_2$ then under the condition $m_1=m_2$ their values will be :

Q. A particle of mass $m_1$ moves with speed $u_1$ and collide head on with a stationary particle of mass $m_2$. After the collision, the velocities of the particles are $v_1$ and $v_2$, and $e$ is coefficient of restitution for the collision. If $v_1$ is to be positive, i.e., for the first particle to continue moving in same direction then:

Q. Particle $A$ of mass $m_1$ moving with velocity $(\sqrt{3}\hat{i}+\hat{j})\text{m}{\text{s}}^{-1}$ collides with another partice $B$ of mass $m_2$ which is at rest initially. Let $\overrightarrow{V_1}$ and $\overrightarrow{V_2}$ be the velocities of particles $A$ and $B$ after collision respectively. If $m_1=2m_2$ and after collision $\overrightarrow{V_1}=(\hat{i}+\sqrt{3}\hat{j})\text{m}{\text{s}}^{-1},$ the angle between $\overrightarrow{V_1}$ and $\overrightarrow{V_2}$ is :

Q. Two bodies of masses $m_1$ and $m_2$ moving on the same direction with velocities $u_1$ and $u_2$ collide. The velocities after collision are $v_1$ and $v_2$ . If each sphere loses the same amount of kinetic energy, then

Q.

If two masses m₁ and m₂ collide with each other. Before the collision, the velocities are u₁ and u₂ respectively. After the collision the velocities are V₁ and V₂. What is the final momentum after collision?

Q. Two balls of masses $m_1\text{and}{m}_2$ such that ($m_2>>m_1$) are moving with initial velocities $v_1\text{and}{v}_2$ respectively towards each other. The final velocity of $m_2$ after collision will be [Assume collision to be perfectly elastic]