Halliday, Resnick & Walker — Fluids: Problem 4

4 The volume of air space in the passenger compartment of an 1800 kg car is 5.00 m\(^3\). The volume of the motor and front wheels is 0.710 m\(^3\), and the volume of the rear wheels, gas tank, and trunk is 0.800 m\(^3\); water cannot enter these two regions. The car rolls into a lake. (a) At first, no water enters the passenger compartment. How much of the car, in cubic meters, is below the water surface with the car floating (Fig. 14-23)? (b) As water slowly enters, the car sinks. How many cubic meters of water are in the car as it disappears below the water surface? (The car, with a heavy load in the trunk, remains horizontal.)