How is Newton's Second Law derived from momentum?

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: $F = \frac{dp}{dt}$ .

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How is Newton's Second Law derived from momentum?

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.

What is the definition of linear momentum?

A measure of mass in motion.

What is the formula for linear momentum?

$p = mv$ , where $p$ is momentum, $m$ is mass, and $v$ is velocity.

What are the units for momentum?

Kilogram meters per second (kg⋅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.

All Flashcards

How is Newton's Second Law derived from momentum?

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.

What is the definition of linear momentum?

A measure of mass in motion.

What is the formula for linear momentum?

$p = mv$ , where $p$ is momentum, $m$ is mass, and $v$ is velocity.

What are the units for momentum?

Kilogram meters per second (kg⋅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.