Respuesta :
The final momentum of cart a is greater than the final momentum of cart b, while the initial momentum of cart b is greater than initial momentum of cart a.
The given parameters;
mass of the first cart, m₁ = a
mass of the second cart, m₂ = b
initial velocity of first cart, u₁ = 0
initial velocity of the second cart, = u₂
The principle of conservation of linear momentum states, the sum of the initial momentum must equal sum of the final momentum.
The initial momentum of the two cart:
[tex]P_b_i > P_a_i[/tex]
The final momentum of the two carts;
[tex]P_a_f > P_b_f[/tex]
Apply conservation of linear momentum;
[tex]P_a_i + P_b_i = P_a_f + P_b_f\\\\P_a_i - P_a_f = P_b_f - P_b_i[/tex]
Thus, we can conclude that the final momentum of cart a is greater than the final momentum of cart b.
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