Question

Two particles with the same mass of 11 kg 11 kg are involved in a completely inelastic head‑on collision. Before the collision, both particles have the same speed of 2 m / s . 2 m/s. Which statement describes the velocities of the particles after the collision?

One of the particles continues at 3 m/s, and the other reverses direction and moves at 6 m/s.
Each particle's speed is still 3 m/s, but each has reversed its direction.
There is not enough information to determine the velocities after the collision.
One of the particles continues to move at 3 m/s, while the other particle is at rest.
Both particles have zero velocity.

Answer 1

Both particles have zero velocity

Step-by-step explanation:

Given;

mass of the first particle, m₁ = 11 kg

mass of the second particle, m₂ = 11 kg

initial velocity of the first particle, u₁ = 2 m/s

initial velocity of the second particle, u₂ = 2 m/s

final velocity of both particles after collision, v = ?

Apply the principle of conservation of linear momentum;

O----------------------> <------------------O

1st particle 2nd particle

m₁u₁ - m₂u₂ = v(m₁ + m₂)

11 x 2 - 11 x 2 = v( 11 + 11)

22 - 22 = v(22)

0 = 22v

v = 0/22

v = 0

The final velocity of both particles after collision is zero.

Thus, Both particles have zero velocity