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1. A canoe can carry a maximum load of 700 kg. The canoe itself has a mass of 37 kg. The canoe is floating in a lake. What volume of the canoe is under water if the canoe is carrying its maximum load?
2. You put a pot containing 3 quarts of soup at 95 °C on a folded dishtowel to cool. The countertop under the dishtowel is at 22 °C. 5 minutes later, the temperature of the spaghetti sauce is 89 °C. The dishtowel is inch thick when folded. The pot has a diameter of 8 inches. Calculate the thermal conductivity of the dishtowel. Assume the soup has the same specific heat as water. Ignore the effects of radiation.
3. A serving of pasta with sauce contains 60 g of carbohydrates, 13 g of fat, and 14 g of protein. "Burning" 1 g of protein releases 17 kJ of energy.
a. Calculate the energy contained in the pasta.
b. A 90 kg football player eats the pasta and goes to work out. They run up the stadium steps, reaching a maximum height of 15 m. How many times could they run up the steps on the energy contained in the pasta if their body's efficiency is 25%?
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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