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A horizontal spring-mass system has low friction, spring stiffness 185 N/m, and mass 0.3 kg. The system is released with an initial compression of the spring of 9 cm and an initial speed of the mass of 3 m/s.
(a) What is the maximum stretch during the motion?(b) What is the maximum speed during the motion?(c) Now suppose that there is energy dissipation of 0.03 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation?
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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