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Q. A force F = (2.0 N/m^2)x^2i is applied to a particle initially at rest in the xy plane. Find the work done by this force on the particle and the final speed of the particle as it moves along a path that is (a) in a straight line from point (2.0 m, 2.0 m) to point (2.0 m, 7.0 m) and (b) in a straight line from point (2.0 m, 2.0 m) to point (5.0 m, 6.0 m). The given force is the only force doing work on the particle.
Q. A dolphin in 25 degree C sea water emits a sound direct toward the bottom of the ocean 126 m below. How much time passes before it hears an echo?
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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