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A speedboat increases its speed uniformly from v1 = 20 m/s to vf = 25 m/s in a distance of 2.40 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors. (Do this on paper. Your instructor may ask you to turn in this work.) (b) For the given information, what single equation is most appropriate for finding the acceleration? (Do this on paper. Your instructor may ask you to turn in this work.) (c) Solve the equation selected in part (b) symbolically for the boat's acceleration in terms of vf, vi, and ?x. (Do this on paper. Your instructor may ask you to turn in this work.) (d) Substitute given values, obtaining the acceleration. m/s2 (e) Find the time it takes the boat to travel the given distance.
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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