State Important points about Momentum and impulse

Momentum:

• Momentum ($p$) is a measure of an object's mass in motion.
• It is a vector quantity, meaning it has both magnitude and direction.
• The formula for momentum is $p = m \times v$, where $m$ is the mass of the object and $v$ is its velocity.
• The SI unit for momentum is kilogram-meter per second (kg·m/s).
• An object has momentum if it has mass and is moving.

Impulse:

• Impulse ($J$) is the change in momentum of an object.
• It is also a vector quantity.
• Impulse is caused by a force acting over a period of time.
• The formula for impulse is $J = F \times \Delta t$, where $F$ is the average force applied and $\Delta t$ is the time interval over which the force acts.
• Impulse is equal to the change in momentum: $J = \Delta p = p_{final} - p_{initial}$.
• The SI unit for impulse is Newton-second (N·s), which is equivalent to kg·m/s.

Relationship between Momentum and Impulse:

• Impulse is the cause of a change in momentum. A larger impulse results in a larger change in momentum.
• This relationship is often referred to as the impulse-momentum theorem.