Questions: 1. What does the slope of Force vs. Speed\' representè How is centrip

Question

Questions: 1. What does the slope of Force vs. Speed' representè How is centripetal force and tangential speed related? 2. What dies the slope of Fo circular motion related? rce vs. 1/Radius represent e i low " centr petal force and radi s of 3. What happens to the centripetal force if the radius is decreased by a factor of 2 or increased by a factor of 2? Justify your answer mathematically assuming constant mass and speed. What happens to the centripetal force if the mass is decreased by a factor of 2 or increased by a factor of 2? Justify your answer mathematically assuming constant mass and speed. 4. 5. How does the angular position of the mass depend on the time?

Explanation / Answer

1) Slope of Force vs. speed^2 will be = mass/Radius

Centripetal force = mv^2/R

2) Slope of Force vs. 1/Radius will be = mass* speed^2

Centripetal force = mv^2/R

3) If Radius decrease by a factor of 2 ========> Centripetal force will be double

    If Radius increase by a factor of 2 ========> Centripetal force will be half

4) If mass decrease by a factor of 2 ========> Centripetal force will be half

    If mass increase by a factor of 2 ========> Centripetal force will be double

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