Two stationary bodies with masses of 2 and 6 kg move towards each other at a speed of 2 m

Two stationary bodies with masses of 2 and 6 kg move towards each other at a speed of 2 m / s each. With what speed and in which direction do these bodies move after impact?

Initial data: V = V1 = V2 (speed of bodies) = 2 m / s; m1 (mass of the first body) = 6 kg, m2 (mass of the second body) = 2 kg.

Since the impact will be inelastic, after the collision, these bodies will move together in the direction of the body with a large momentum (the first body).

m1 * V – m2 * V = (m1 + m2) * U1.2.

U1.2 = (m1 * V – m2 * V) / (m1 + m2).

Payment:

U1.2 = (6 * 2 – 2 * 2) / (6 + 2) = 8/8 = 1 m / s.

Answer: The bodies will move together with a speed of 1 m / s in the direction of the velocity vector of the first body.