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1. A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The spring has a force constant of 1.37 kN/m. How much is the spring compressed when a object of mass m = 2.95 kg is placed on top of the spring and the system is at rest?
2. A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 107 g and rises to a maximum height of 45.0 cm, estimate the force constant of the spring.
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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