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Question1
A hunter wishes to cross a river that is 1.4 km wide and that flows with a speed of 7 km/h. The hunter uses a small powerboat that moves at a maximum speed of 14 km/h with respect to the water.
What is the time essential for crossing if the hunter wishes to move neither up stream nor downstream while crossing the river? Illustrate the vectors to scale on a graph to determine the answer.
Respond in units of min
Question2
A light plane is headed due south with a speed of 156 km/hr relative to still air. After 1.09 hour, the pilot notices that they have covered only 122 km and their direction is not south but southeast (45.0 degrees). What is wind velocity (magnitude)? What is wind velocity (direction)?
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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