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How is Newton's Second Law derived from momentum?

  1. Start with p=mvp = mv. 2. Differentiate with respect to time: dpdt=d(mv)dt\frac{dp}{dt} = \frac{d(mv)}{dt}. 3. If mass is constant: dpdt=mdvdt\frac{dp}{dt} = m\frac{dv}{dt}. 4. Since a=dvdta = \frac{dv}{dt}: dpdt=ma\frac{dp}{dt} = ma. 5. And since F=maF = ma, we get: F=dpdtF = \frac{dp}{dt}.
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How is Newton's Second Law derived from momentum?

  1. Start with p=mvp = mv. 2. Differentiate with respect to time: dpdt=d(mv)dt\frac{dp}{dt} = \frac{d(mv)}{dt}. 3. If mass is constant: dpdt=mdvdt\frac{dp}{dt} = m\frac{dv}{dt}. 4. Since a=dvdta = \frac{dv}{dt}: dpdt=ma\frac{dp}{dt} = ma. 5. And since F=maF = ma, we get: F=dpdtF = \frac{dp}{dt}.

What is the definition of linear momentum?

A measure of mass in motion.

What is the formula for linear momentum?

p=mvp = mv, where pp is momentum, mm is mass, and vv 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.

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.