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The total momentum of a system of two moving identical bodies is zero. What should be true about the velocities of the bodies?

A) The velocities should be equal in direction and opposite in magnitude.
B) Both velocities should be zero
C) Both velocities should be equal in magnitude and opposite in direction
D) the velocities should be equal in magnitude and opposite in direction

Respuesta :

onyebuchinnaji

For a zero total momentum of two bodies,  the two velocities of the two bodies should be equal in magnitude and opposite in direction

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

[tex]Pi = P_f \\\\m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2[/tex]

where;

  • u is the initial velocity of the two bodies
  • v is the final velocity of the two bodies
  • m is the mass of the two bodies

When the total momentum is zero, the velocities of the two bodies will have equal values but opposite signs.

Thus, we can conclude that for a zero total momentum of the two bodies,  the two velocities should be equal in magnitude and opposite in direction

Learn more here:https://brainly.com/question/22698801

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