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A yellow train of mass 100 kg is moving at 8 m/s toward an orange train of mass 200 kg traveling in the opposite direction on the same trac at a speed of 1 m/s. They collide and stick together! What is the velocity of
the new combined train?
A. 8 m/s
B. 2 m/s
C. 4 m/s
D. 10 m/s

Respuesta :

Corsaquix

Answer:

B. 2 m/s

Explanation:

With all collisions, momentum is conserved. This is known as the Conservation of Momentum.

To find the momentum of an object, multiply its mass by its velocity.

[tex]m_yv_y+m_ov_o=(m_y+m_o)v_f[/tex], solving for vf

Plugging in numbers, we get:

[tex]100\cdot 8 + 200(-1)=(100+200)v_f[/tex]

[tex]300v_f=600,\\v_f=\boxed{2\text{ m/s}}[/tex]

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