3.5.3 Collisions

• What is a collision defined as in physics?

  Interaction with brief forces
• What is always conserved in both elastic and inelastic collisions?

  Momentum
• The mathematical expression for conservation of momentum is $p_{1} +$$p_{2} =$$p'_{1} +$$p'_{2}$, where $p_{1}$ and $p_{2}$ are the initial momenta, and $p'_{1}$ and $p'_{2}$ are the final momenta
• What is the primary difference between elastic and inelastic collisions in terms of energy conservation?

  Kinetic energy conserved in elastic
• The principle of conservation of momentum states that $p_{initial} =$$p_{final}$, where $p_{initial}$ is the total momentum before the collision and $p_{final}$ is the total momentum after
• What is the expanded form of the momentum conservation equation?

  m_{1}v_{1} + m_{2}v_{2} = m_{1}v'_{1} + m_{2}v'_{2}</latex>
• How is the momentum of an object calculated?

  $p =$$mv$
• Match the collision type with its properties:

  Elastic ↔️ Kinetic energy conserved

  Inelastic ↔️ Kinetic energy lost
• What typically happens to kinetic energy in inelastic collisions?

  It converts to heat or sound
• What are the two types of collisions based on kinetic energy conservation?

  Elastic and inelastic
• Inelastic collisions conserve momentum but not kinetic energy
• In any collision, the total momentum of the colliding objects remains constant.
• The momentum of an object is calculated as its mass multiplied by its velocity
• In inelastic collisions, kinetic energy is transformed into heat or sound
• In an elastic collision, the total kinetic energy of the system is conserved.


  True
• Match the collision type with its characteristic:

  Elastic ↔️ Conserves kinetic energy

  Inelastic ↔️ Loses kinetic energy
• In any collision, the total momentum before equals the total momentum after.


  True
• Steps to solve a collision problem using conservation of momentum

  1️⃣ Identify the initial and final momenta

  2️⃣ Apply the conservation of momentum equation

  3️⃣ Solve for the unknown quantity
• Inelastic collisions always involve the conversion of kinetic energy into heat or sound.


  True
• What does the principle of momentum conservation state in collisions?

  Total momentum is conserved
• In elastic collisions, kinetic energy is conserved.


  True
• The formula to calculate total momentum after a collision is $m_{1}v'_{1} +$$m_{2}v'_{2}$
• A collision involves two or more objects exerting forces on each other for a brief period.


  True
• A collision is an event where two or more objects interact and exert forces on each other for a brief period
• Match the type of collision with its conservation properties:

  Elastic ↔️ Momentum and kinetic energy conserved

  Inelastic ↔️ Momentum conserved, kinetic energy lost
• The conservation of momentum applies to both elastic and inelastic collisions.

  True
• What is the formula for calculating momentum?

  $p =$$mv$
• What is the definition of impulse?

  Change in momentum
• What happens to kinetic energy in an inelastic collision?

  Converted to other forms
• In elastic collisions, objects bounce off each other with no loss of energy
• Match the collision type with its conservation properties:

  Elastic ↔️ Conserves momentum and kinetic energy

  Inelastic ↔️ Conserves momentum only
• What is an example of an inelastic collision?

  Car crash
• The mathematical expression for momentum conservation is p_{initial} = p_{final}
• An example of an elastic collision is billiard balls colliding
• Kinetic energy is conserved in both elastic and inelastic collisions.

  False
• In elastic collisions, kinetic energy is conserved
• An example of an inelastic collision is dropping a ball
• Elastic collisions conserve both momentum and kinetic energy.


  True
• Order the steps involved in analyzing collisions using the conservation of momentum:

  1️⃣ Identify the colliding objects

  2️⃣ Calculate initial total momentum

  3️⃣ Calculate final total momentum

  4️⃣ Equate initial and final momentum

  5️⃣ Solve for unknown variables
• What is the mathematical expression for the conservation of momentum?

  p_{1} + p_{2} = p'_{1} + p'_{2}</latex>