Question

An object of mass 5kg moving with a velocity of 6m/s collides with another object of mass 3kg moving with a velocity of 4 m/s. After collision both bodies stuck together and move with a common velocity. Find the velocity?

Answer 1

the common velocity of the both objects after collision is 5.25 m/s.

Step-by-step explanation:

Given;

mass of the first object, m₁ = 5 kg

initial velocity of the first object, u₁ = 6 m/s

mass of second object, m₂ = 3 kg

initial velocity of the second object, u₂ = 4 m/s

Let the common velocity of the both objects after collision = v

Apply the principle of conservation of linear momentum to determine the final velocity of both objects;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

5 x 6 + 3 x 4 = v(5 + 3)

30 + 12 = v(8)

42 = 8v

v = 42/8

v = 5.25 m/s

Therefore, the common velocity of the both objects after collision is 5.25 m/s.