Four cars with a mass of 1500 kg each are loaded on a 6 m wide, 12 m long small car ferry. How far, in cm will it sink in the water?

 a) 15.2
 b) 11.2
 c) 10.2
 d) 8.3
ISRO Scientist-2010

8.3.
Mass of each car = 1500 kg
Gravity is taken as 10 N/s2
Weight = m g
Total weight of the cars = 1500 * 4 * 10 (N)
Weight of the water displaced = Weight of the car
V * ρ * g = 1500 * 4 * 10
Volume of water displaced = (1500*4*10) / (1000*10)
V = 6 m3

Volume of water displaced = Volume of car immersed
6 m3 = 6 * 12 * h m3
h = 0.0833 m
h = 8.3 cm
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