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Q1. Sunlight shining in during the daytime is absorbed by the floor, interior walls, and objects in the room, raising their temperature to 37.5°C. If the house is well insulated, you may model it as losing energy by heat steadily at the rate 6 100 W on a day in July when the average exterior temperature is 4.00°C and while the conventional heating system is not used at all. Throughout the period between 5:00 p.m. and 7:00 a.m., the temperature of the house drops and a sufficiently large "thermal mass" is necessary to keep it from dropping too far. The thermal mass can be a large quantity of stone (with specific heat 850 J/kg . °C) in the floor and the interior walls exposed to sunlight. What mass of stone is necessary if the temperature is not to drop below 18.5°C overnight?
Q2. Certain stars are thought to collapse at the end of their lives, combining their protons and electrons to form a neutron star. Such a star can be thought of as a giant atomic nucleus. If a star with a mass equal to that of the sun (of mass 1.99 × 10^30 kg) were to collapse into neutrons, what would be the radius of the star?
Respond in units of m.
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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