Four cars each of mass 1500 kg, are loaded on a 6 m wide, 12 m lo
| Four cars each of mass 1500 kg, 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. 11.5
C. 10.2
D. 8.3
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
Concept:
Figure shows the car ferry with load.
According to Archimedes principle
Weight of the body = weight of the volume displaced
i.e. mg = ρgV
Calculation:
Given:
m = 1500 × 4 = 6000 kg, ρ = 1000 kg/m3, V = 12 × 6 × z
6000 × 9.81 = 1000 × 9.81 × (12 × 6 × z)
⇒ z = 0.083 m = 8.33 cm