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Experiment 4 - The Competition Between Brownian Motion and Directed Forces 1. The goal of this experiment is to observe random and directed motion at
- Experiment 4 - The Competition Between Brownian Motion and Directed Forces
- 1. The goal of this experiment is to observe random and directed motion at the same time.Imagine starting with the setup from lab 3 (where we saw purely random motion).What would you have to change in the setup to introduce directed motion?
- 2. What forces dominate when mostly random motion is observed?
- 3. What forces dominate when mostly vertical-directed motion is observed?
- If you graph the log-log plot of a power law function y=axn, what would you expect the slope of the log-log graph to be proportional to? What shape should the log-log plot be? (linear, exponential, etc.)
- Suppose you start with the equationy=ax2 where a is a constant. If you take the log of both sides of the equation, what does your new equation become? (Expand this equation so that it is the sum of logs)
- Starting with your answer to the previous question, what is the value of your slope if you were to graph this new equation?
- In lab 4, if the slope of your log(R2) vs. log(t) graph is equal to 2, you have purely directed motion. What does this suggest about the shape of your R2vs. t graph in this case? (Is it linear, exponential, etc.)
- In lab 4, if the slope of your log(R2) vs. log(t) graph is equal to 1, you have purely random motion. What does this suggest about the shape of your R2vs. t graph in this case? (Is it linear, exponential, etc.)
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