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A 1425 kg truck driving at 13.0 m/s collides elastically with a stationary 1175 kg car. If the car is traveling 14.25 m/s just
after the collision, what is the velocity of the truck immediately after the collision? Assume that this is a perfectly elastic
collision. Round your answer to the hundredths place.

Respuesta :

Answer:

Speed of the truck just after the collision with truck is 1.25 m/s

Explanation:

As we know that the elastic collision occurs between car and truck

so we know

[tex]m_{truck} = 1425 kg[/tex]

[tex]v_{1i} = 13 m/s[/tex]

[tex]m_{car} = 1175 kg[/tex]

[tex]v_{2i} = 0[/tex]

now after collision we know that

[tex]v_{car} = 14.25 m/s[/tex]

now by momentum conservation of car and truck we have

[tex]m_{truck}v_{1i} + m_{car}v_{2i} = m_{truck}v_{1f} + m_{car}v_{2f}[/tex]

[tex]1425(13) + 1175(0) = 1425 v_{1f} + 1175(14.25)[/tex]

[tex]v_{1f} = 1.25 m/s[/tex]

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