What are the key differences between elastic and inelastic collisions?

Elastic: KE is conserved | Inelastic: KE is not conserved, converted to other forms of energy.

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What are the key differences between elastic and inelastic collisions?

Elastic: KE is conserved | Inelastic: KE is not conserved, converted to other forms of energy.

Compare and contrast momentum and kinetic energy.

Momentum: vector, p = mv, always conserved in collisions (no external force) | Kinetic Energy: scalar, KE = 1/2mv^2, conserved only in elastic collisions

Differentiate between the equations used for conservation of momentum in elastic and inelastic collisions (objects stick together).

Elastic: $m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$ | Inelastic (stick together): $m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f$

What is the difference between solving for final velocities in 1D vs 2D elastic collisions?

1D: Solve one equation for one unknown. | 2D: Resolve velocities into x and y components and solve two equations for two unknowns.

Compare the role of external forces in conservation of momentum and conservation of energy.

Conservation of Momentum: Momentum is conserved if there is no external force. | Conservation of Energy: Energy is conserved if there is no external force doing work on the system.

What are the steps to solving elastic collision problems?

Identify the collision as elastic. 2. Apply conservation of momentum and kinetic energy equations. 3. Solve the equations simultaneously for the unknowns.

What are the steps to solving inelastic collision problems?

Identify the collision as inelastic. 2. Apply conservation of momentum equation. 3. Solve for the unknown final velocity.

How do you analyze 2D collisions?

Analyze momentum in x and y directions separately. Use vector components.

What is the first step to classify a collision problem?

Calculate the initial and final kinetic energy. If they are equal, the collision is elastic. If not, it is inelastic.

What is the process of calculating the final velocity of two objects after an inelastic collision where they stick together?

Use the conservation of momentum equation: $m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f$ . 2. Substitute the initial velocities and masses of the objects. 3. Solve for the final velocity, $v_f$ .

Define momentum.

Momentum is the product of an object's mass and velocity: p = mv. It is a vector quantity.

What is an elastic collision?

A collision where both momentum and kinetic energy are conserved.

What is an inelastic collision?

A collision where momentum is conserved, but kinetic energy is not. Some KE is converted to other forms of energy.

Define 'conservation of momentum'.

If the net external force on a system is zero, the total momentum of the system remains constant: pinitial = pfinal

What is kinetic energy (KE)?

The energy an object possesses due to its motion. KE = 1/2 * mv^2

All Flashcards

What are the key differences between elastic and inelastic collisions?

Elastic: KE is conserved | Inelastic: KE is not conserved, converted to other forms of energy.

Compare and contrast momentum and kinetic energy.

Momentum: vector, p = mv, always conserved in collisions (no external force) | Kinetic Energy: scalar, KE = 1/2mv^2, conserved only in elastic collisions

Differentiate between the equations used for conservation of momentum in elastic and inelastic collisions (objects stick together).

Elastic: $m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$ | Inelastic (stick together): $m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f$

What is the difference between solving for final velocities in 1D vs 2D elastic collisions?

1D: Solve one equation for one unknown. | 2D: Resolve velocities into x and y components and solve two equations for two unknowns.

Compare the role of external forces in conservation of momentum and conservation of energy.

Conservation of Momentum: Momentum is conserved if there is no external force. | Conservation of Energy: Energy is conserved if there is no external force doing work on the system.

What are the steps to solving elastic collision problems?

Identify the collision as elastic. 2. Apply conservation of momentum and kinetic energy equations. 3. Solve the equations simultaneously for the unknowns.

What are the steps to solving inelastic collision problems?

Identify the collision as inelastic. 2. Apply conservation of momentum equation. 3. Solve for the unknown final velocity.

How do you analyze 2D collisions?

Analyze momentum in x and y directions separately. Use vector components.

What is the first step to classify a collision problem?

Calculate the initial and final kinetic energy. If they are equal, the collision is elastic. If not, it is inelastic.

What is the process of calculating the final velocity of two objects after an inelastic collision where they stick together?

Use the conservation of momentum equation: $m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f$ . 2. Substitute the initial velocities and masses of the objects. 3. Solve for the final velocity, $v_f$ .

Define momentum.

Momentum is the product of an object's mass and velocity: p = mv. It is a vector quantity.

What is an elastic collision?

A collision where both momentum and kinetic energy are conserved.

What is an inelastic collision?

A collision where momentum is conserved, but kinetic energy is not. Some KE is converted to other forms of energy.

Define 'conservation of momentum'.

If the net external force on a system is zero, the total momentum of the system remains constant: pinitial = pfinal

What is kinetic energy (KE)?

The energy an object possesses due to its motion. KE = 1/2 * mv^2