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If a 4 kg object is moving with a velocity of 2 m/s and collides elastically wit

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Question: If a 4 kg object is moving with a velocity of 2 m/s and collides elastically with a stationary object of mass 4 kg, what is the final velocity of the first object?

Options:

  1. 0 m/s
  2. 1 m/s
  3. 2 m/s
  4. 4 m/s

Correct Answer: 0 m/s

Solution: 

In an elastic collision, the velocities are exchanged. The first object comes to rest, so final velocity = 0 m/s.

If a 4 kg object is moving with a velocity of 2 m/s and collides elastically wit

Practice Questions

Q1
If a 4 kg object is moving with a velocity of 2 m/s and collides elastically with a stationary object of mass 4 kg, what is the final velocity of the first object?
  1. 0 m/s
  2. 1 m/s
  3. 2 m/s
  4. 4 m/s

Questions & Step-by-Step Solutions

If a 4 kg object is moving with a velocity of 2 m/s and collides elastically with a stationary object of mass 4 kg, what is the final velocity of the first object?
  • Step 1: Identify the masses of the objects involved in the collision. The first object has a mass of 4 kg and the second object also has a mass of 4 kg.
  • Step 2: Note the initial velocity of the first object, which is 2 m/s, and the second object is stationary, so its initial velocity is 0 m/s.
  • Step 3: Understand that in an elastic collision, both momentum and kinetic energy are conserved.
  • Step 4: In this specific case, when two objects of equal mass collide elastically, they exchange their velocities.
  • Step 5: Since the first object is moving at 2 m/s and the second object is stationary, after the collision, the first object will come to rest (final velocity = 0 m/s) and the second object will take on the velocity of the first object (2 m/s).
  • Step 6: Therefore, the final velocity of the first object after the collision is 0 m/s.
  • Conservation of Momentum – In an elastic collision, the total momentum before and after the collision is conserved.
  • Elastic Collision – In an elastic collision, both momentum and kinetic energy are conserved.
  • Velocity Exchange – In a special case of elastic collisions where two objects have equal mass, they can exchange velocities.
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