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A student claims that the total momentum of a system of objects is conserved when there is no net force on the system.
To test the claim, the student uses a cue ball (white) and rolls it into an eight ball (black). When the balls collide, the cue
ball comes to a complete stop and the eight ball begins to move. The mass of the cue ball is 0.17 kg, and the mass of
the eight ball is 0.16 kg. A radar is used to measure the speed of the cue ball immediately before it comes in contact
with the eight ball, and another radar is used to measure the speed of the eight-ball immediately after the point of
contact. The cue ball approaches the eight ball at a speed of 4.00 m/s. After contact, the eight ball moves away from the
cue ball at a speed of 4.25 m/s. The scenario is shown in the picture.

A student claims that the total momentum of a system of objects is conserved when there is no net force on the system To test the claim the student uses a cue class=

Respuesta :

The total momentum of the system is conserved and the momentum did not change.

The given parameters:

  • Mass of the white ball, m₁ = 0.17 kg
  • Mass of the black ball, m₂ = 0.16 kg
  • Initial velocity of the white ball, u₁ = 4 m/s
  • Final velocity of the black ball, v₂ = 4.25 m/s

The initial momentum of the system is calculated as follows;

[tex]P_i = m_1 u_1 + m_2 u_2\\\\P_i = 0.17 \times 4 \ + \ 0.16(0)\\\\P_i = 0.68 \ kg m/s[/tex]

The final momentum of the system is calculated as follows;

[tex]P_f = m_1 v_1 + m_2 v_2 \\\\P_f = 0.17 (0) \ + 0.16(4.25)\\\\P_f = 0.68 \ kg m/s[/tex]

Thus, the total momentum of the system is conserved and the momentum did not change.

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