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.

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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: $\sum p_{initial} = \sum p_{final}$ .

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.

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.

All Flashcards

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: $\sum p_{initial} = \sum p_{final}$ .

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.

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.