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Q1. An object is hung from a spring, set into vertical vibration, and immersed in a beaker of oil. Its motion is graphed. The object has mass 375 g, the spring has force constant 100 N/m, and the damping coefficient is b = 0.100 N•s/m.
(a) How long does it take for amplitude to drop to half its initial value?
(b) How long does it take for mechanical energy to drop to half its initial value?
Q2. Evaluate yourself sprinting at 7.0 m/s with a 63-g bullet travelling at 150 m/s.
a) Which has a larger momentum?
b) Which has more energy?
c) Which is more dangerous? Why?
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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