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Q1. A spring with an unstrained length of 0.0680 m and a spring constant of 2.1 N/m hangs vertically downward from the ceiling. A uniform electric field directed upward fills the region containing the spring. A sphere with a mass of 5.1 x 10-3 kg and a net charge of +5.5 μC is attached to the lower end of the spring. The spring is released slowly, until it reaches equilibrium. The equilibrium length of the spring is 0.064 m. What is the magnitude of the external electric field?
Q2. Drawing on Eratoshthenes' method, if two observers are due north and south of each other and are separated by 400 km, what is circumference of their spherical world if they see the similar star on their meridian at altitudes of 23degrees and 47degrees respectively, and at the exact same time?
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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