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Two identical 2.0-kg objects are involved in a collision. The objects are on a frictionless track. The initial velocity of object A is 12 m/s and the initial velocity of object B is -6.0 m/s. What is the final velocity of the two objects

Respuesta :

Answer:

final velocity of the objects will be 3 m/sec

Explanation:

We have given there are two identical objects of mass 2 kg

So [tex]m_1=m_2=2kg[/tex]

Initial velocity of object A [tex]v_1=12m/sec[/tex]

Initial velocity of object B [tex]v_2=-6m/sec[/tex]

According to conservation of momentum

[tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]

[tex]2\times 12+2\times -6=(2+2)v[/tex]

[tex]4v=24-12[/tex]

[tex]4v=12[/tex]

v = 3 m/sec

So final velocity of the objects will be 3 m/sec