4.4 Elastic and Inelastic Collisions

    Cards (156)

    • In an inelastic collision, kinetic energy is conserved.
      False
    • The equation for final momentum in a collision is pₐ = m₁vₐ₁ + m₂vₐ₂.
    • Steps to solve collision problems using momentum and energy conservation laws.
      1️⃣ Identify the type of collision (elastic or inelastic)
      2️⃣ Apply the momentum conservation law
      3️⃣ Apply the kinetic energy conservation law if elastic
      4️⃣ Solve the equations to find unknowns
    • In an elastic collision, the kinetic energy of the system is conserved
    • In an inelastic collision, the kinetic energy of the system is not
    • Momentum conservation states that in a closed system, the total momentum remains constant if no external forces act on it.
    • In elastic collisions, both momentum and kinetic energy are conserved
    • What two quantities are conserved in elastic collisions?
      Momentum and kinetic energy
    • Kinetic energy is conserved in elastic collisions.

      True
    • The equation for initial momentum in inelastic collisions is \( p₀ = m₁v₀₁ + m₂v₀₂ \), where \( p₀ \) represents initial momentum.
    • What is the equation for final momentum in inelastic collisions when the objects move together?
      \( pₐ = (m₁ + m₂)vₐ \)
    • What is the equation for initial kinetic energy in elastic collisions?
      \( K₀ = \frac{1}{2}m₁v₀₁² + \frac{1}{2}m₂v₀₂² \)
    • Two billiard balls collide elastically. Ball A moves at 3 m/s, and ball B is at rest. What is the final velocity of ball B if ball A stops completely?
      3 m/s
    • What is a key characteristic of elastic collisions regarding kinetic energy?
      Kinetic energy is conserved
    • In inelastic collisions, momentum is conserved, but kinetic energy is not conserved.
    • In an elastic collision, there is no permanent deformation
    • In inelastic collisions, some kinetic energy is transformed into heat, sound, or permanent deformation
    • What does the law of momentum conservation state in a closed system?
      Total momentum remains constant
    • Kinetic energy conservation in elastic collisions implies that the initial kinetic energy equals the final kinetic energy.

      True
    • What is conserved in inelastic collisions?
      Momentum
    • What do \(v₀₁\) and \(v₀₂\) represent in the kinetic energy formula?
      Initial velocities
    • What is the formula for final kinetic energy in an elastic collision?
      Kₐ = ½m₁vₐ₁² + ½m₂vₐ₂²
    • What are the initial velocities of the two balls in the example of elastic collision?
      5 m/s and 0 m/s
    • Steps to calculate final velocity in inelastic collisions:
      1️⃣ Write down the formula for final velocity
      2️⃣ Substitute the given values
      3️⃣ Calculate the final velocity
    • In inelastic collisions, kinetic energy is converted into other forms such as heat, sound, or deformation
    • In perfectly inelastic collisions, the colliding objects stick together after impact, forming a single combined object that moves at a common final velocity
    • Arrange the following examples based on the type of collision they represent:
      1️⃣ Glue two blocks together (perfectly inelastic)
      2️⃣ Bouncing ball (partially inelastic)
      3️⃣ Car crash (partially inelastic)
    • Match the property with the type of collision:
      Elastic Collision ↔️ Kinetic energy is conserved
      Inelastic Collision ↔️ Kinetic energy is not conserved
    • Match the example with the type of collision:
      Billiard balls colliding ↔️ Elastic Collision
      Car crashes ↔️ Inelastic Collision
    • What is the initial momentum of two blocks with masses 3 kg and 5 kg, moving at 4 m/s and 0 m/s respectively?
      12 kg·m/s
    • What is the formula for momentum conservation in elastic collisions?
      m₁v₀₁ + m₂v₀₂ = m₁vₐ₁ + m₂vₐ₂</latex>
    • Momentum is conserved in elastic collisions.

      True
    • In elastic collisions, both momentum and kinetic energy are conserved
    • In the momentum conservation formula, \(v₀₁\) represents the initial velocity
    • Kinetic energy is not conserved in inelastic collisions.

      True
    • In an inelastic collision, kinetic energy is not conserved, but momentum is still conserved.
    • In elastic collisions, both momentum and kinetic energy are conserved.

      True
    • The kinetic energy conservation formula in elastic collisions is \frac{1}{2}m₁v₁ᵢ² + \frac{1}{2}m₂v₂ᵢ² = \frac{1}{2}m₁v₁f2_{f}^{2} + \frac{1}{2}m₂v₂f2_{f}^{2}.
    • The formula for momentum conservation is m₁v₁ᵢ + m₂v₂ᵢ = m₁v₁f + m₂v₂f
    • What can be found by solving the momentum and kinetic energy conservation equations simultaneously?
      Final velocities