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Q1. While her kid brother is on a wooden horse at the edge of a merry-go-round, Sheila rides her bicycle parallel to its edge. The wooden horses have a tangential speed of 5 m/s. Sheila rides at 4 m/s. The radius of the merry-go-round is 9 m. At what time intervals does Sheila encounter her brother, if she rides opposite to the direction of rotation of the merry-go-round?
Q2. Some athletes can put out as much as 800 watts in short bursts. If you could sustain such energy output long enough to reach the top of a mountain, how much time would it take you to get there from the valley, 3000 meters below the peak? So how does power relate to time?
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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