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Changing momentum: curving motion

Changing momentum: curving motion. A. A. A. Parallel component (Along trajectory). Direction of motion in point A. Perpendicular component (to trajectory). Rate of change of direction. Angle =. Similar triangles. Direction: For small angles is perpendicular to.

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Changing momentum: curving motion

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  1. Changing momentum: curving motion A A A Parallel component (Along trajectory) Direction of motion in point A Perpendicular component (to trajectory) Rate of changeof direction

  2. Angle = Similar triangles Direction: For small angles is perpendicular to is directed toward the center of the kissing circle Rate of change of direction Length of path A = vt For small angle: - Normal to the pathtoward center of the “kissing” circle

  3. Direction of motion in point A A The Momentum Principle for components Parallel component: Perpendicular component:

  4. The Momentum Principle for components Direction of motion in point A A Parallel component: Perpendicular component: Rate of change of magnitude p Rate of change of direction of p

  5. Example: the Moon and the Earth Mass of the Moon: mM= 7×1022 kg Distance from the Earth: R= 4×108 m Period: T = 28 days Question: = ? R Solution: mM Parallel: =0 Perpendicular: What is the direction of ?

  6. Example: the Moon and the Earth motion of any object any force Mass of the Moon: mm= 7×1022 kg Distance from the Earth: R= 4×108 m Period: T = 28 days Mass of the Earth: mE= 6×1024 kg Question:FEarth on M=? R mE mM Solution: From motion path: these are not the same things! This is precise – works at any speed!

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