A flat-bottomed wooden box is 1.5 m wide and 2.5 m long, with sides 1 m high. The box serves as a boat carrying five people as it floats on a pond. The total mass of the boat and the people is 1400 kg.
1. What is the total weight of the boat and the people in newtons?
2. What is the buoyant force needed to keep the boat and its load afloat?
3. What volume of water should be displaced to support the boat and its load? (The density of water is 1000 kg/m3.)
4. How much of the boat is underwater? (What height of the sides should be submerged to produce a volume equal to that of part c?)