a rectangular barge, 5 meters long and 2 meters wide, floats in fresh water. suppose that a 400kg crate of auto parts is loaded onto the barge. show that the barge floats 4cm deeper.

Answer 1

new volume submerged = 5 * 2 * h
so new mass of water displaced = 5 * 2 * h * 1000 kg/m^3 = 10,000 h kg
so Archimedes says
10,000 h = 400
h = 4/100 meters = 4 cm