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A 20-kilogram cart traveling east with a speed of 6 meters per second collides with a 30- kilogram cart traveling west. If both carts come to rest immediately after the collision, what was the speed of the westbound cart before the collision ?

Respuesta :

onyebuchinnaji

The speed of the westbound cart before the collision is 4 m/s.

The given parameters:

  • Mass of the first cart, m₁ = 20 kg
  • Mass of the second cart, m₂ = 30 kg
  • Initial velocity of the first cart, u₁ = 6 m/s.
  • Initial velocity of the second cart, u₂ = ?

Conservation of linear momentum

The initial velocity of the second cart is determined by applying the principle of conservation of linear momentum.

[tex]m_1 u_1 + m_2 u_2 = v(m_1 + m_2)\\\\ 20(6) + 30(-u_2) = 0(20 + 30)\\\\ 120 - 30u_2 = 0\\\\ 30u_2 =120\\\\ u_2 =\frac{120}{30} \\\\ u_2 = 4 \ m/s[/tex]

Thus, the speed of the westbound cart before the collision is 4 m/s.

Learn more about conservation of linear momentum here: https://brainly.com/question/7538238

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