contestada

If two vehicles are traveling at a speed of 50 miles per hour and they collide with one another, the speed of the head-on impact is actually ___ miles per hour.

Respuesta :

Answer:

[tex]v_{f}[/tex] = 0  miles/h

Explanation:

This exercise should be resolved with the moment. The system is formed by the two cars. Let's write the moment

Initial. Before the crash

           p₀ = m v₁ - m v₂

The sign is because they go in the opposite direction

Final. After the crash

          [tex]p_{f}[/tex] = (m + m) [tex]v_{f}[/tex]

The moment is preserved

         p₀ = [tex]p_{f}[/tex]

         m v₁- m v₂ = 2m [tex]v_{f}[/tex]

         [tex]v_{f}[/tex] = m / 2m (v₁-v₂)

But the speed of the cars is the same v1 = v2 = 50 liters / h

       [tex]v_{f}[/tex] = 0

so the two faces do not move after the crash

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