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Two particles A and B of masses m1 and m2 are moving in opposite directions with

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Question: Two particles A and B of masses m1 and m2 are moving in opposite directions with velocities v1 and v2 respectively. What is the total angular momentum of the system about the origin?

Options:

  1. m1v1 + m2v2
  2. m1v1 - m2v2
  3. m1v1 + m2(-v2)
  4. m1v1 + m2v2

Correct Answer: m1v1 + m2(-v2)

Solution: 

Total angular momentum L = m1v1 + m2(-v2) = m1v1 - m2v2.

Two particles A and B of masses m1 and m2 are moving in opposite directions with

Practice Questions

Q1
Two particles A and B of masses m1 and m2 are moving in opposite directions with velocities v1 and v2 respectively. What is the total angular momentum of the system about the origin?
  1. m1v1 + m2v2
  2. m1v1 - m2v2
  3. m1v1 + m2(-v2)
  4. m1v1 + m2v2

Questions & Step-by-Step Solutions

Two particles A and B of masses m1 and m2 are moving in opposite directions with velocities v1 and v2 respectively. What is the total angular momentum of the system about the origin?
Correct Answer: m1v1 - m2v2
  • Step 1: Understand that angular momentum is a measure of the amount of rotation an object has, which depends on its mass and velocity.
  • Step 2: Identify the two particles: Particle A with mass m1 moving with velocity v1, and Particle B with mass m2 moving with velocity v2 in the opposite direction.
  • Step 3: Recognize that since Particle B is moving in the opposite direction, we can represent its velocity as -v2.
  • Step 4: Write the formula for the total angular momentum (L) of the system, which is the sum of the angular momentum of both particles.
  • Step 5: For Particle A, the angular momentum is m1 * v1.
  • Step 6: For Particle B, since it is moving in the opposite direction, its angular momentum is m2 * (-v2).
  • Step 7: Combine the angular momentum of both particles: L = m1 * v1 + m2 * (-v2).
  • Step 8: Simplify the equation: L = m1 * v1 - m2 * v2.
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