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1. Take a walk in your room/house for 15 steps using a compass (you can download this from the play store if you do not have a physical compass) that points 25° North of East.
a. How would you use the simulation to represent your path?
b. Explain why the same representation works for illustrating this different scenario: You drive at 15 miles/hour using a compass that points 25º North of East. In your opinion, does the simulation help you imagine the addition of vectors visually? How?
2. In the simulation, a vector is described by four measurements: |R|, ?, Rx, and Ry. Put a vector in the work area, and then investigate to make sense of what these four things represent. In your investigation, use a wide variety of vector measurements and all three styles of Component Displays. Then, describe what the measurements represent and what "component" means.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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