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1. A lizard of mass 4.30 g is warming itself in the bright sunlight. It casts a shadow of 1.60 cm2 on a piece of paper held perpendicularly to the Sun's rays. The intensity of sunlight at the top of the Earth's atmosphere is 1.40 × 103 W/m2, but only half of this energy penetrates the atmosphere and is absorbed by the lizard. The lizard has a specific heat of 4.20 J/(g·°C). Assuming that there is no heat loss by the lizard (to simplify), how long must the lizard lie in the Sun in order to raise its temperature by 1.00°C?
2. A stainless steel saucepan, with a base that is made of 0.310-cm-thick steel (κ = 46.0 W/(m·K)) fused to a 0.150 cm thickness of copper (κ = 401 W/(m·K)), sits on a ceramic heating element at 108°C. The diameter of the pan is 18.0 cm, and it contains boiling water at 100.00°C. If the copper-clad bottom is touching the heat source, at what rate will the water evaporate from the pan? Latent heat of vaporization (Lv) for water is 2256 J/g. Enter your answer in three decimal points.
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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