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%?