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Suppose that the aluminum cup inside a calorimeter has a mass of 48 g and contains 84 g of water. Both the cup and water are initially at a temperature of 5.6 degrees C. You now add an aluminum sample of mass 19.0 g that has been heated in hot water to a temperature of 55.4 degrees C. When the cup, water, and sample come to equilibrium, their temperature is 7.6 degrees C. Assume that the calorimeter is perfect (i.e., the cup, water, and sample are thermally isolated from the environment), and that you know the specific heat of water to be 4190 J/(kg K). On the basis of these measurements, what is your best estimate of the specific heat of the aluminum?
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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