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If two particles of masses m1 and m2 are moving towards each other with velociti

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Question: If two particles of masses m1 and m2 are moving towards each other with velocities v1 and v2, what is the total momentum of the system before they collide?

Options:

  1. m1 * v1 + m2 * v2
  2. m1 * v1 - m2 * v2
  3. m1 * v1 + m2 * v2 + m1 * m2
  4. 0

Correct Answer: m1 * v1 + m2 * v2

Solution: 

The total momentum of the system before the collision is the vector sum of the momenta of the two particles, which is m1 * v1 + m2 * v2.

If two particles of masses m1 and m2 are moving towards each other with velociti

Practice Questions

Q1
If two particles of masses m1 and m2 are moving towards each other with velocities v1 and v2, what is the total momentum of the system before they collide?
  1. m1 * v1 + m2 * v2
  2. m1 * v1 - m2 * v2
  3. m1 * v1 + m2 * v2 + m1 * m2
  4. 0

Questions & Step-by-Step Solutions

If two particles of masses m1 and m2 are moving towards each other with velocities v1 and v2, what is the total momentum of the system before they collide?
  • Step 1: Identify the masses of the two particles. Let the mass of the first particle be m1 and the mass of the second particle be m2.
  • Step 2: Identify the velocities of the two particles. Let the velocity of the first particle be v1 and the velocity of the second particle be v2.
  • Step 3: Understand that momentum is calculated by multiplying mass and velocity. For the first particle, the momentum is m1 * v1.
  • Step 4: Calculate the momentum of the second particle. For the second particle, the momentum is m2 * v2.
  • Step 5: Since the particles are moving towards each other, we need to consider their momenta as vectors. This means we will add the two momenta together.
  • Step 6: Write the total momentum of the system before the collision as the sum of the two momenta: Total Momentum = m1 * v1 + m2 * v2.
  • Momentum – Momentum is the product of mass and velocity, and it is a vector quantity that depends on the direction of the velocities.
  • Conservation of Momentum – In a closed system, the total momentum before a collision is equal to the total momentum after the collision.
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