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A 1 kg object moving at 5 m/s collides with a stationary object. If the collisio

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Question: A 1 kg object moving at 5 m/s collides with a stationary object. If the collision is perfectly elastic, what is the final momentum of the system?

Options:

  1. 5 kg·m/s
  2. 0 kg·m/s
  3. 10 kg·m/s
  4. 2.5 kg·m/s

Correct Answer: 5 kg·m/s

Solution:

In a perfectly elastic collision, momentum is conserved. Initial momentum = 1 kg × 5 m/s = 5 kg·m/s.

A 1 kg object moving at 5 m/s collides with a stationary object. If the collisio

Practice Questions

Q1
A 1 kg object moving at 5 m/s collides with a stationary object. If the collision is perfectly elastic, what is the final momentum of the system?
  1. 5 kg·m/s
  2. 0 kg·m/s
  3. 10 kg·m/s
  4. 2.5 kg·m/s

Questions & Step-by-Step Solutions

A 1 kg object moving at 5 m/s collides with a stationary object. If the collision is perfectly elastic, what is the final momentum of the system?
  • Step 1: Identify the mass of the moving object, which is 1 kg.
  • Step 2: Identify the initial speed of the moving object, which is 5 m/s.
  • Step 3: Calculate the initial momentum of the moving object using the formula: momentum = mass × velocity.
  • Step 4: Substitute the values into the formula: momentum = 1 kg × 5 m/s.
  • Step 5: Perform the multiplication: 1 kg × 5 m/s = 5 kg·m/s.
  • Step 6: Since the collision is perfectly elastic, the total momentum of the system is conserved.
  • Step 7: Therefore, the final momentum of the system is also 5 kg·m/s.
  • Momentum Conservation – In a perfectly elastic collision, the total momentum of the system before and after the collision remains constant.
  • Elastic Collision – In a perfectly elastic collision, both momentum and kinetic energy are conserved.
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