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Rank, from largest to smallest, the following four collisions according to the magnitude of the change in the momentum of cart B, which has twice the inertia of cart A.
To rank items as equivalent, overlap them.

(1) A initially stationary, B initially moving left at 1.0m/s; stick together on impact.
(b) A initially moving right at 1.0 m/s, B initially moving left at 1.0 m/s; stick together on impact.
(3) A initially moving right at 1.0 m/s, B initially stationary; stick together on impact.
(4) A initially moving right at 1.0 m/s; after impact, A moving left at 0.33 m/s, B moving right at 0.67m/s.

Respuesta :

onyebuchinnaji

The change in the momentum of all the same items is the same.

  • Let the mass of cart A = m
  • Let the mass of cart B = 2m

(1) The final velocity after the impact is calculated as follows;

[tex]m_1u_1 + m_2 u_2 = v(m_1 + m_2)\\\\m(0) +2 m(-1) = v(m+ 2m)\\\\-2m = v(3m)\\\\v = -0.667 \ m/s[/tex]

The change in momentum is calculated as follows;

[tex]\Delta P = v(m_1 + m_2)- (m_1u_1 + m_2u_2)\\\\\Delta P = -0.667(m+ 2m) -(0 -2m)\\\\\Delta P = -2m + 2m= 0[/tex]

According to principle of conservation of linear momentum, the total momentum of an isolated system is always conserved.

Thus, we can conclude that the change in the momentum of all the same items is the same.

Learn more about change in momentum here: https://brainly.com/question/7538238

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