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Q1. An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 400-g sample of silver at an initial temperature of 87°C is placed in the water. The stirrer is used to stir the mixture until it reaches its last equilibrium temperature of 32°C. Analyse the mass of the aluminum cup.
Q2. A potter's wheel having a radius 0.50 m and a moment of inertia 14.3 kg•m2 is rotating freely at 51 rev/min. The potter can stop the wheel in 5.0 s by pressing a wet rag against the rim and exerting a radially inward force of 66 N. Find out the effective coefficient of kinetic friction between the wheel and the wet rag.
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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