Change in Momentum in Time for Curving Motion

claimed by Elizabeth Cooper

The momentum of an object going around a circle is always changing even if its speed is constant. This is because its directions is constantly changing, therefore its velocity is changing. The change in momentum for curving motion always points toward the center of the circle.

The Main Idea

[math]\displaystyle{ {\frac{d\vec{p}}{dt}} }[/math] for Curving Motion

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

Model of a space craft orbiting a planet. "https://trinket.io/embed/glowscript/6d7763cad6" The arrow in red represents the [math]\displaystyle{ {\frac{d\vec{p}}{dt}} }[/math] of the space craft.

Examples

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