What are the key differences between elastic and inelastic collisions?
Elastic: Kinetic energy is conserved. | Inelastic: Kinetic energy is not conserved.
What are the differences between momentum and kinetic energy?
Momentum: Vector quantity, measures an object's motion. | Kinetic Energy: Scalar quantity, measures energy of motion.
What is the definition of Center of Mass (COM)?
The point at which the total mass of a system is considered concentrated.
What is the definition of Momentum (p)?
The product of an object's mass and velocity: $p = mv$.
What is the definition of Impulse (J)?
The change in momentum of an object: $J = \Delta p = F\Delta t$.
What is the definition of Elastic Collision?
A collision where both momentum and kinetic energy are conserved.
What is the definition of Inelastic Collision?
A collision where momentum is conserved, but kinetic energy is not.
What is the definition of Perfectly Inelastic Collision?
A collision where objects stick together after impact.
How do you calculate the Center of Mass (COM) in one dimension?
Use the formula: $x_{cm} = \frac{\sum m_i x_i}{\sum m_i}$, where $m_i$ is the mass of the i-th particle and $x_i$ is its position.
What is the impulse-momentum theorem?
The impulse on an object is equal to the change in its momentum: $J = \Delta p$.
How do you apply the law of conservation of momentum?
Set the total initial momentum equal to the total final momentum: $\sum p_{initial} = \sum p_{final}$.
