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Question1
A pipe open only at one end has an essential frequency of 269 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off a portion of the open end. Now, as both pipes vibrate at their fundamental frequencies, a beat frequency of 13.2 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 343 m/s.
Question2
A particle travels horizontally between two parallel walls detached by 18.4 m. It moves toward the opposing wall at a constant rate of 8.3 m/s. In addition, it has acceleration in the direction parallel to the walls of 4.8 m/s. At what angle with the wall will the particle strike?
Question3
A drunken sailor stumbles 415 meters north, 365 meters northeast, and then 315 meters northwest. What are the total displacement and angle of the displacement? (Imagine east is the +x-direction and north is the +y-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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