A 200-kg flat-bottomed boat floats in fresh water, which has a density of 1000 kg/m³. If the base of the boat is 1.42 m wide and 4.53 m long, to what depth is the bottom of the boat submerged when it carries three passengers whose total mass is 257 ${~kg} \text { ? }$

Question

Quizplus · Accepted Answer

The correct answer is A because the weight of the boat and passengers is equal to the buoyant force of the water displaced by the boat. The buoyant force is equal to the density of the water times the volume of the water displaced. The volume of the water displaced is equal to the area of the base of the boat times the depth of the water. So, the depth of the water is equal to the weight of the boat and passengers divided by the density of the water times the area of the base of the boat.

A 200-Kg Flat-Bottomed Boat Floats in Fresh Water, Which Has kg ? {~kg} \text { ? } kg ?

A 200-Kg Flat-Bottomed Boat Floats in Fresh Water, Which Has ${~kg} \text { ? }$