2. (a) What is the relationship between mass, density and volume? Suppose you are drifting on a lake in a boat that measures 1 m high, 1 m wide and

3 m long. The water level reaches halfway up the boat. (b) Draw a free body diagram for the boat (with you in it). The density of water is 1000 kg/m' (1.00 g/cm'). What is the volume of water that is displaced by the boat? (c) What is the mass of the water displaced? (d) Weight of the water displaced? (e) If the liquid were different than water would your answers change? If so, which one sand how? What information would you need to know about the fluid?