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Two 125 kg bumper cars are moving toward each other in opposite directions. Car X is moving at 10 m/s and Car Z at −12 m/s when they collide headon. If the resulting velocity of Car Z after the collision is 10 m/s, what is the velocity of Car X after the collision?

Respuesta :

Given that,

Mass of two bumper cars, m₁ = m₂ = 125 kg

Initial speed of car X is, u₁ = 10 m/s

Initial speed of car Z is, u₂ = -12 m/s

Final speed of car Z, v₂ = 10 m/s

We need to find the final speed of car X after the collision. Let v₁ is its final speed. Using the conservation of momentum to find it as follows :

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

v₁ is the final speed of car X.

[tex]m_1u_1+m_2u_2-m_1v_1=m_2v_2\\\\m_2v_2=m_1u_1+m_2u_2-m_2v_2\\\\m_1v_1=125\times 10+125\times (-12)-125\times 10\\\\v_1=\dfrac{-1500}{125}\\\\v_1=-12\ m/s[/tex]

So, car X will move with a velocity of -12 m/s.

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