$p = mv$, where $p$ is momentum, $m$ is mass, and $v$ is velocity.
What are the units for momentum?
Kilogram meters per second (kgโ m/s).
Is momentum a scalar or vector quantity?
Momentum is a vector quantity.
What does it mean for momentum to be a vector?
It has both magnitude and direction.
How is Newton's Second Law derived from momentum?
1. Start with $p = mv$. 2. Differentiate with respect to time: $\frac{dp}{dt} = \frac{d(mv)}{dt}$. 3. If mass is constant: $\frac{dp}{dt} = m\frac{dv}{dt}$. 4. Since $a = \frac{dv}{dt}$: $\frac{dp}{dt} = ma$. 5. And since $F = ma$, we get: $F = \frac{dp}{dt}$.
What are the differences between momentum and kinetic energy?
Momentum: Vector, measures mass in motion. Kinetic Energy: Scalar, relates to an object's capacity to do work.