Given Mass of the particles, \(m=3 \mathrm{~kg}\) Velocities of particle, \(v_{1}=3 \mathrm{~m} / \mathrm{s}\) and \(v_{2}=-3 \mathrm{~m} / \mathrm{s}\) Negative sign indicates the other particle is moving in the direction opposite to the first particle i.e., head on collision
Collisions conserve momentum. Momentum before collision
\(\begin{aligned} p_{i} &=m v_{1}+m v_{2} \\ &=m\left(v_{1}+v_{2}\right) \\ &=11(3+(-3)) \quad\left(\begin{array}{l}\text { negative sign indicates head on collision } \\ \text { 'opposite direction' }\end{array}\right)\\ &=11(0) \\ &=0 \end{aligned}\)
Momentum before collision = Momentum after collision
So, \(p_{f}=0\)
Since mass cannot be zero, the velocities of both the particles are zero.
Thus, the correct option is Both particles have zero velocity.
Two particles with the same mass of 11 kg are involved in a completely inelastic head-on...